Dataset of rise velocities for gas bubbles with and without gas hydrate shells

Metadata also available as - [Outline] - [Parseable text] - [XML]

Frequently anticipated questions:


What does this data set describe?

Title:
Dataset of rise velocities for gas bubbles with and without gas hydrate shells
Abstract:
Methane gas bubbles emitted from the seafloor transport methane through the water column. Methane transport is important to track because of the substantial role methane plays in biological processes and in the Earth’s climate system. Existing models used to predict methane transport based on methane dissolution rates from rising bubbles generally estimate bubble rise velocity from the bubble’s volume. This standard theoretical approach relies on equations that parameterize the dynamic interaction between volume, shape, and rise velocity for flexible-walled bubbles. These equations hold for bubbles rising in pure water, but when gas bubbles are emitted from sediment at water depths exceeding ~300-500 meters, the combination of elevated pressure and low bottom water temperatures can lead to a solid gas hydrate forming on the bubble surface. The solid gas-hydrate coating can create a rigid bubble surface, which prevents the usual dynamic interaction between bubble volume, shape and rise velocity and reduces the bubble’s rise velocity. To better understand how a hydrate coating on the bubble surface affects the bubble’s rise velocity, the U.S. Geological Survey conducted controlled laboratory experiments in which calibrated, high-speed imagery was used to measure the rise velocity of individual hydrate-free and hydrate-coated gas bubbles. Xenon was the hydrate-forming gas used because xenon hydrate has the same structure as methane hydrate, but forms at low enough pressures that rise-velocity experiments can be run in transparent acrylic cylinders. Estimates of the equivalent diameter, de, which is the diameter of a spherical bubble with the same volume as the observed bubble, ranged from 0.8 to 12 millimeters (mm), whereas the aspect ratio (major axis length divided by minor axis length) of the generated gas bubbles ranged from 1.04 to 2.17 mm. The rise-velocity data show that hydrate-coated gas bubbles generally rise slower than hydrate-free bubbles of the same volume. For hydrate-coated bubbles with de between 4–7 mm, the average rise velocity is 19.8 centimeters per second (cm/s) or 10 percent slower than hydrate-free bubbles of the same volume. Rise velocities for hydrate-free and hydrate-coated bubbles also diverge as the aspect ratio increases. For hydrate-free bubbles, the rise velocity increases with increasing aspect ratio, as is anticipated for bubbles in clean systems (bubbles with flexible interfaces). In contrast, hydrate-coated bubble rise velocities decrease as their aspect ratio increases. Measurable differences between hydrate-free and hydrate-coated bubble rise velocities indicate that the existing clean-bubble rise velocity parameterizations currently used in methane dissolution modelling need to be carefully examined before they are used to predict the bubble rise behavior of rigid, hydrate-coated bubbles.
Supplemental_Information:
In addition to funding from the U.S. Geological Survey Gas Hydrate Project, this work is sponsored in part by the Department of Energy (DOE) through interagency agreements with the U.S. Geological Survey’s Gas Hydrate Project (DE-FE0023495 and 89243320SFE000013).
  1. How might this data set be cited?
    Padilla, Alexandra M., and Waite, William F., 20260302, Dataset of rise velocities for gas bubbles with and without gas hydrate shells: data release DOI:10.5066/P9IG5BHE, U.S. Geological Survey, Coastal and Marine Hazards and Resources Program, Woods Hole Coastal and Marine Science Center, Woods Hole, MA.

    Online Links:

    Other_Citation_Details:
    Suggested citation: Padilla, A.M.. and Waite, W.F., 2026, Dataset of rise velocities for gas bubbles with and without gas hydrate shells: U.S. Geological Survey data release, https://doi.org/10.5066/P9IG5BHE.
  2. What geographic area does the data set cover?
    West_Bounding_Coordinate: -180
    East_Bounding_Coordinate: 180
    North_Bounding_Coordinate: 90
    South_Bounding_Coordinate: -90
  3. What does it look like?
    https://www.sciencebase.gov/catalog/file/get/63249633d34e71c6d67b570f?name=Flow_Loop_Coordinates_BrowseGraphic.png&allowOpen=true (PNG)
    Flow loop chamber schematic with an overlay of the measured rise path of a xenon hydrate-coated bubble. The dual high-speed cameras capture the bubble position and shape as the bubble rises. The bubble volume, aspect ratio, rise path and rise velocity can all be calculated from these images and the known camera frame rate. Bubble coordinates are in millimeters.
    https://www.sciencebase.gov/catalog/file/get/63249633d34e71c6d67b570f?name=Flow_Loop_Apparatus.png&allowOpen=true (PNG)
    Apparatus schematic: (a) Flow Loop Device, or FLD, overview; (b) Bubble observation region highlighting the cameras, light diffuser panel and LED backlighting panels; (c) Bubble inlet showing the vertically oriented bubble injection needle.
    https://www.sciencebase.gov/catalog/file/get/63249633d34e71c6d67b570f?name=Flow_Loop_Bubble_Example_Images.png&allowOpen=true (PNG)
    Bubble example pictures from cameras 1 and 2. The bubble pairs imaged here are associated with the file names given in the image. From left to right, the paired bubble images are associated with the datafiles Small_Clean_Sphere, Large_Clean_Ellipsoid, Spherical_Xenon_Hydrate and Distorted_Xenon_Hydrate.
  4. Does the data set describe conditions during a particular time period?
    Beginning_Date: 01-Sep-2018
    Ending_Date: 11-Mar-2022
    Currentness_Reference:
    These data are collected from laboratory measurements of generic gas types that were purchased rather than collected. The relevant reference for currentness is given as the range of dates over which the flow loop system was adapted and used for rise velocity measurements.
  5. What is the general form of this data set?
  6. How does the data set represent geographic features?
    1. How are geographic features stored in the data set?
    2. What coordinate system is used to represent geographic features?
  7. How does the data set describe geographic features?
    AllBubbles_RiseVelocity_Size_Shape
    Size, shape and average rise velocity information for all bubbles included in this study. (Source: U.S. Geological Survey)
    Bubble ID
    Bubble_ID: Sequential designation of each bubble. The same Bubble ID is also used in the bubble path example spreadsheets in this data release. (Source: U.S. Geological Survey)
    Range of values
    Minimum:1
    Maximum:659
    Units:unitless
    Collection Date
    Collection_Date: Date on which the bubble data was collected, in the format YYYMMDD. (Source: U.S. Geological Survey)
    Range of values
    Minimum:20220207
    Maximum:20220311
    Units:unitless
    Gas Type
    Gas_Type: This is the gas that we inject into the tap water to creat the bubbles we image. Options are: Air (room air), Methane (99.99% purity) and Xenon (99.999% purity) (Source: U.S. Geological Survey) Character set (text).
    Pressure [MPa]
    Pressure_MPa: Pressure of the flow loop water in megapascals. Tests were only run at two water pressures: atmospheric (0.101 MPa) and 1 MPa. (Source: U.S. Geological Survey)
    Range of values
    Minimum:0.101
    Maximum:1
    Units:Megapascals (MPa)
    Temperature [C]
    Temperature_C: Temperature of the flow loop water in Celsius, as measured by a thermocouple in the water itself. (Source: U.S. Geological Survey)
    Range of values
    Minimum:13.1
    Maximum:26.1
    Units:Degrees Celsius
    Surface Condition
    Surface_Condition: Condition of the bubble surface. There are only two options: "No Hydrate," meaning the bubble surface appears flexible and able to change shape as it rises; "Hydrate," meaning the bubble is coated in a xenon hydrate shell that does not observably deform or change shape while the bubble rises. (Source: U.S. Geological Survey) Character set (text).
    Mean Equivalent Diameter (de) [mm]
    Mean_Equivalent_Diameter_de_mm: The mean equivalent diameter, denoted de, is the diameter of a sphere with a volume equal to that of the bubble being observed. The equivalent diameter is calculated from the major and minor axes values as the cubed root of the minor axis length, b, times the square of the major axis length, a: de = (ba^2)^(1/3). Values here are given in millimeters. (Source: U.S. Geological Survey)
    Range of values
    Minimum:0.81
    Maximum:12.04
    Units:millimeters
    Mean Aspect Ratio
    Mean_Aspect_Ratio: The mean aspect ratio is the bubble aspect ratio averaged over all of the images of a given bubble during its rise. For each image, the aspect ratio, calculated as the ratio of the major to minor axis lengths: a/b. A sphere would have an aspect ratio of 1, and the ellipsoidal bubbles would have aspect ratios exceeding 1. (Source: U.S. Geological Survey)
    Range of values
    Minimum:1.04
    Maximum:2.17
    Units:unitless
    Mean Vertical Rise Velocity (uz) [cm/s]
    Mean_Vertical_Rise_Velocity_uz_cm_per_s: The mean vertical rise velocity, denoted uz and given in centimeters per second, is the vertical component of the bubble's velocity. The mean vertical rise velocity is given by the slope of the straight line fit to a bubble's entire vertical position versus time data. (Source: U.S. Geological Survey)
    Range of values
    Minimum:7.61
    Maximum:24.86
    Units:unitless
    Small_Clean_Sphere
    This excel spreadsheet and associated csv file contain the image-by-image information about bubble size, location, rise velocity and orientation (tilt) for bubble number 368. Each row of data represents the results from one pair of camera 1 and 2 images captured as the bubble rose through the flow loop device. These data are for a methane bubble with a hydrate-free surface. This is one of the smallest bubbles. It is nearly spherical, with an equivalent diameter of only 0.96 millimeters and an aspect ratio of 1.1 (aspect ratio = 1 would represent a sphere). As can be seen by plotting the x, y and z coordinates for the bubble during its rise, this bubble rises nearly vertically. Example images of this bubble from cameras 1 and 2 are provided in the file Flow_Loop_Bubble_Example_Images.png. (Source: U.S. Geological Survey)
    Bubble ID
    Bubble_ID: Sequential designation of each the bubble. The same Bubble ID is also used in the bubble path example spreadsheet covering all the bubbles in this data release. (Source: U.S. Geological Survey)
    Range of values
    Minimum:368
    Maximum:368
    Units:unitless
    Collection Date
    Collection_Date: Date on which the bubble data was collected, in the format YYYMMDD. (Source: U.S. Geological Survey)
    Range of values
    Minimum:20220228
    Maximum:20220228
    Units:unitless
    Gas Type
    Gas_Type: This bubble was formed with Methane (99.99% purity). (Source: U.S. Geological Survey) Character set (text).
    Pressure [MPa]
    Pressure_MPa: Pressure of the flow loop water in megapascals. This bubble was tested at a flow loop pressure of 1 MPa. (Source: U.S. Geological Survey)
    Range of values
    Minimum:1
    Maximum:1
    Units:Megapascals (MPa)
    Temperature [C]
    Temperature_C: Temperature of the flow loop water in Celsius. This bubble was tested at a temperature of 26.0 degrees Celsius. (Source: U.S. Geological Survey)
    Range of values
    Minimum:26.0
    Maximum:26.0
    Units:Degrees Celsius
    Surface Condition
    Surface_Condition: Condition of the bubble surface. This bubble was tested in the "No Hydrate" condition, meaning the bubble surface appears flexible and able to change shape as it rises. (Source: U.S. Geological Survey) Character set (text).
    Mean Equivalent Diameter (de) [mm]
    Mean_Equivalent_Diameter_de_mm: The mean equivalent diameter, denoted de, is the diameter of a sphere with a volume equal to that of the bubble being observed. The equivalent diameter is calculated from the major and minor axes values as the cubed root of the minor axis length, b, times the square of the major axis length, a: de = (ba^2)^(1/3). Values here are given in millimeters. (Source: U.S. Geological Survey)
    Range of values
    Minimum:0.96
    Maximum:0.96
    Units:millimeters
    Mean Aspect Ratio
    Mean_Aspect_Ratio: The mean aspect ratio is the bubble aspect ratio averaged over all of the images of a given bubble during its rise. For each image, the aspect ratio, calculated as the ratio of the major to minor axis lengths: a/b. A sphere would have an aspect ratio of 1, and the ellipsoidal bubbles would have aspect ratios exceeding 1. (Source: U.S. Geological Survey)
    Range of values
    Minimum:1.1
    Maximum:1.1
    Units:unitless
    Mean Vertical Rise Velocity (uz) [cm/s]
    Mean_Vertical_Rise_Velocity_uz_cm_per_s: The mean vertical rise velocity, denoted uz and given in centimeters per second, is the vertical component of the bubble's velocity. The mean vertical rise velocity is given by the slope of the straight line fit to a bubble's entire vertical position versus time data. (Source: U.S. Geological Survey)
    Range of values
    Minimum:9.61
    Maximum:9.61
    Units:unitless
    x [mm]
    x_mm: This is the position of the bubble along the x coordinate, left and right according to the camera 1 view, with x increasing to the right (see Browse Graphic). (Source: U.S. Geological Survey)
    Range of values
    Minimum:-2.24
    Maximum:-1.27
    Units:millimeters
    y [mm]
    y_mm: This is the position of the bubble along the y coordinate, left and right according to the camera 2 view, with y increasing to the right (see Browse Graphic). (Source: U.S. Geological Survey)
    Range of values
    Minimum:7.87
    Maximum:8.61
    Units:millimeters
    z [mm]
    z_mm: This is the position of the bubble along the (vertical) z coordinate, with z increasing upward (see Browse Graphic). The z coordinate is the average z position as determined from cameras 1 and 2. (Source: U.S. Geological Survey)
    Range of values
    Minimum:45.82
    Maximum:131.70
    Units:millimeters
    Tilt Angle - Camera 1 [degrees]
    Tilt_Angle_Camera_1_degrees: This is the bubble's tilt as determined from camera 1 for each image. Tilt increases as the major axis of the bubble tips counterclockwise from horizontal. Note that for this nearly spherical bubble, the major axis is not well-defined, and the tilt results are consequently scattered more widely than for the ellipsoidal example bubbles in this data release. (Source: U.S. Geological Survey)
    Range of values
    Minimum:-5.86
    Maximum:6.28
    Units:degrees
    Tilt Angle - Camera 2 [degrees]
    Tilt_Angle_Camera_2_degrees: This is the bubble's tilt as determined from camera 2 for each image. Tilt increases as the major axis of the bubble tips counterclockwise from horizontal. Note that for this nearly spherical bubble, the major axis is not well-defined, and the tilt results are consequently scattered more widely than for the ellipsoidal example bubbles in this data release. (Source: U.S. Geological Survey)
    Range of values
    Minimum:-13.69
    Maximum:9.93
    Units:degrees
    uz_ins [cm/s]
    uz_ins_cm_per_s: This is the bubble's instantaneous vertical rise velocity, calculated as distance divided by time. The vertical distance traveled is the difference between the bubble's z coordinate at the time of the image and the z coordinate at the time of the previous image. The time is the time between images. Because this approach requires the bubble position for the previous image, no result is available for the bubble's first image, represented by the first row of data in the data file. Consequently, the instantaneous vertical rise velocity data cell is left blank for the first row of the data file. (Source: U.S. Geological Survey)
    Range of values
    Minimum:9.06
    Maximum:10.22
    Units:centimeter per second
    ut_ins [cm/s]
    ut_ins_cm_per_s: This is the bubble's instantaneous total rise velocity, calculated as distance divided by time. The total distance traveled between images is the difference between the bubble's x,y,z position at the time of the image and the bubble's x,y,z position at the time of the previous image. The time is the time between images. Because this approach requires the bubble position for the previous image, no result is available for the bubble's first image, represented by the first row of data in the data file. Consequently, the instantaneous total velocity data cell is left blank for the first row of the data file. Note that if the bubble rises perfectly vertically, the vertical rise velocity and total velocity are equal. If the bubble rises along a zigzag or helical path, the total velocity will exceed the vertical rise velocity. (Source: U.S. Geological Survey)
    Range of values
    Minimum:9.06
    Maximum:10.22
    Units:centimeter per second
    Large_Clean_Ellipsoid
    This excel spreadsheet and associated csv file contain the image-by-image information about bubble size, location, rise velocity and orientation (tilt) for bubble number 188. Each row of data represents the results from one pair of camera 1 and 2 images captured as the bubble rose through the flow loop device. These data are for an air bubble (room air in the laboratory) with a hydrate-free surface. This is one of the larger bubbles, ellipsoidal in shape, with a mean equivalent diameter of 12.04 millimeters and an aspect ratio of 2.17 (bubble is slightly more than twice as wide as it is tall). As can be seen by plotting the x, y and z coordinates for the bubble during its rise, this bubble rises with a helical path, similar to the path a person takes while ascending a circular staircase. Example images of this bubble from cameras 1 and 2 are provided in the file Flow_Loop_Bubble_Example_Images.png. (Source: U.S. Geological Survey)
    Bubble ID
    Bubble_ID: Sequential designation of each bubble. The same Bubble ID is also used in the bubble path example spreadsheets in this data release. (Source: U.S. Geological Survey)
    Range of values
    Minimum:188
    Maximum:188
    Units:unitless
    Collection Date
    Collection_Date: Date on which the bubble data was collected, in the format YYYMMDD. (Source: U.S. Geological Survey)
    Range of values
    Minimum:20220211
    Maximum:20220211
    Units:unitless
    Gas Type
    Gas_Type: This bubble was formed with laboratory room air. (Source: U.S. Geological Survey) Character set (text).
    Pressure [MPa]
    Pressure_MPa: Pressure of the flow loop water in megapascals. This bubble was tested at a flow loop pressure of 0.101 MPa (atmospheric pressure). (Source: U.S. Geological Survey)
    Range of values
    Minimum:0.101
    Maximum:0.101
    Units:Megapascals (MPa)
    Temperature [C]
    Temperature_C: Temperature of the flow loop water in Celsius. This bubble was tested at a temperature of 26.1 degrees Celsius. (Source: U.S. Geological Survey)
    Range of values
    Minimum:26.1
    Maximum:26.1
    Units:Degrees Celsius
    Surface Condition
    Surface_Condition: Condition of the bubble surface. This bubble was tested in the "No Hydrate" condition, meaning the bubble surface appears flexible and able to change shape as it rises. (Source: U.S. Geological Survey) Character set (text).
    Mean Equivalent Diameter (de) [mm]
    Mean_Equivalent_Diameter_de_mm: The mean equivalent diameter, denoted de, is the diameter of a sphere with a volume equal to that of the bubble being observed. The equivalent diameter is calculated from the major and minor axes values as the cubed root of the minor axis length, b, times the square of the major axis length, a: de = (ba^2)^(1/3). Values here are given in millimeters. (Source: U.S. Geological Survey)
    Range of values
    Minimum:12.04
    Maximum:12.04
    Units:millimeters
    Mean Aspect Ratio
    Mean_Aspect_Ratio: The mean aspect ratio is the bubble aspect ratio averaged over all of the images of a given bubble during its rise. For each image, the aspect ratio, calculated as the ratio of the major to minor axis lengths: a/b. A sphere would have an aspect ratio of 1, and ellipsoidal bubbles such as this one have aspect ratios exceeding 1. (Source: U.S. Geological Survey)
    Range of values
    Minimum:2.17
    Maximum:2.17
    Units:unitless
    Mean Vertical Rise Velocity (uz) [cm/s]
    Mean_Vertical_Rise_Velocity_uz_cm_per_s: The mean vertical rise velocity, denoted uz and given in centimeters per second, is the vertical component of the bubble's velocity. The mean vertical rise velocity is given by the slope of the straight line fit to a bubble's entire vertical position versus time data. (Source: U.S. Geological Survey)
    Range of values
    Minimum:24.86
    Maximum:24.86
    Units:unitless
    x [mm]
    x_mm: This is the position of the bubble along the x coordinate, left and right according to the camera 1 view, with x increasing to the right (see Browse Graphic). (Source: U.S. Geological Survey)
    Range of values
    Minimum:-8.57
    Maximum:-1.03
    Units:millimeters
    y [mm]
    y_mm: This is the position of the bubble along the y coordinate, left and right according to the camera 2 view, with y increasing to the right (see Browse Graphic). (Source: U.S. Geological Survey)
    Range of values
    Minimum:11.08
    Maximum:17.37
    Units:millimeters
    z [mm]
    z_mm: This is the position of the bubble along the (vertical) z coordinate, with z increasing upward (see Browse Graphic). The z coordinate is the average z position as determined from cameras 1 and 2. (Source: U.S. Geological Survey)
    Range of values
    Minimum:45.07
    Maximum:132.21
    Units:millimeters
    Tilt Angle - Camera 1 [degrees]
    Tilt_Angle_Camera_1_degrees: This is the bubble's tilt as determined from camera 1 for each image. Tilt increases as the major axis of the bubble tips counterclockwise from horizontal. (Source: U.S. Geological Survey)
    Range of values
    Minimum:-16.14
    Maximum:21
    Units:degrees
    Tilt Angle - Camera 2 [degrees]
    Tilt_Angle_Camera_2_degrees: This is the bubble's tilt as determined from camera 2 for each image. Tilt increases as the major axis of the bubble tips counterclockwise from horizontal. (Source: U.S. Geological Survey)
    Range of values
    Minimum:-23.09
    Maximum:19.56
    Units:degrees
    uz_ins [cm/s]
    uz_ins_cm_per_s: This is the bubble's instantaneous vertical rise velocity, calculated as distance divided by time. The vertical distance traveled is the difference between the bubble's z coordinate at the time of the image and the z coordinate at the time of the previous image. The time is the time between images. Because this approach requires the bubble position for the previous image, no result is available for the bubble's first image, represented by the first row of data in the data file. Consequently, the instantaneous vertical rise velocity data cell is left blank for the first row of the data file. (Source: U.S. Geological Survey)
    Range of values
    Minimum:21.66
    Maximum:29.5
    Units:centimeter per second
    ut_ins [cm/s]
    ut_ins_cm_per_s: This is the bubble's instantaneous total rise velocity, calculated as distance divided by time. The total distance traveled between images is the difference between the bubble's x,y,z position at the time of the image and the bubble's x,y,z position at the time of the previous image. The time is the time between images. Because this approach requires the bubble position for the previous image, no result is available for the bubble's first image, represented by the first row of data in the data file. Consequently, the instantaneous total velocity data cell is left blank for the first row of the data file. Note that if the bubble rises perfectly vertically, the vertical rise velocity and total velocity are equal. If the bubble rises along a zigzag or helical path, the total velocity will exceed the vertical rise velocity. (Source: U.S. Geological Survey)
    Range of values
    Minimum:22.52
    Maximum:31.96
    Units:centimeter per second
    Spherical_Xenon_Hydrate
    This excel spreadsheet and associated csv file contain the image-by-image information about bubble size, location, rise velocity and orientation (tilt) for bubble number 594. Each row of data represents the results from one pair of camera 1 and 2 images captured as the bubble rose through the flow loop device. These data are for a xenon bubble with a hydrate-coated (rigid) surface. The hydrate-coated bubbles come in a variety of shapes, but this bubble is nearly spherical, with a mean equivalent diameter of 4.3 millimeters and an aspect ratio of 1.06 (aspect ratio of 1 would be an ideal sphere). As can be seen by plotting the x, y and z coordinates for the bubble during its rise, this bubble rises with a zigzag path, rising while moving back and forth in a single plane. Example images of this bubble from cameras 1 and 2 are provided in the file Flow_Loop_Bubble_Example_Images.png. (Source: U.S. Geological Survey)
    Bubble ID
    Bubble_ID: Sequential designation of each bubble. The same Bubble ID is also used in the bubble path example spreadsheets in this data release. (Source: U.S. Geological Survey)
    Range of values
    Minimum:594
    Maximum:594
    Units:unitless
    Collection Date
    Collection_Date: Date on which the bubble data was collected, in the format YYYMMDD. (Source: U.S. Geological Survey)
    Range of values
    Minimum:20220308
    Maximum:20220308
    Units:unitless
    Gas Type
    Gas_Type: This bubble was formed with xenon (99.999% purity). (Source: U.S. Geological Survey) Character set (text).
    Pressure [MPa]
    Pressure_MPa: Pressure of the flow loop water in megapascals. This bubble was tested at a flow loop pressure of 1 MPa. (Source: U.S. Geological Survey)
    Range of values
    Minimum:1
    Maximum:1
    Units:Megapascals (MPa)
    Temperature [C]
    Temperature_C: Temperature of the flow loop water in Celsius. This bubble was tested at a temperature of 13.1 degrees Celsius. (Source: U.S. Geological Survey)
    Range of values
    Minimum:13.1
    Maximum:13.1
    Units:Degrees Celsius
    Surface Condition
    Surface_Condition: Condition of the bubble surface. This bubble was formed within the xenon hydrate pressure and temperatures stability conditions. The bubble surface has a rigid xenon hydrate coating, so the surface condition is given as "Hydrate". (Source: U.S. Geological Survey) Character set (text).
    Mean Equivalent Diameter (de) [mm]
    Mean_Equivalent_Diameter_de_mm: The mean equivalent diameter, denoted de, is the diameter of a sphere with a volume equal to that of the bubble being observed. The equivalent diameter is calculated from the major and minor axes values as the cubed root of the minor axis length, b, times the square of the major axis length, a: de = (ba^2)^(1/3). Values here are given in millimeters. (Source: U.S. Geological Survey)
    Range of values
    Minimum:4.3
    Maximum:4.3
    Units:millimeters
    Mean Aspect Ratio
    Mean_Aspect_Ratio: The mean aspect ratio is the bubble aspect ratio averaged over all of the images of a given bubble during its rise. For each image, the aspect ratio, calculated as the ratio of the major to minor axis lengths: a/b. A sphere would have an aspect ratio of 1, meaning bubble 594 is one of the most spherical bubbles tested in this study. (Source: U.S. Geological Survey)
    Range of values
    Minimum:1.06
    Maximum:1.06
    Units:unitless
    Mean Vertical Rise Velocity (uz) [cm/s]
    Mean_Vertical_Rise_Velocity_uz_cm_per_s: The mean vertical rise velocity, denoted uz and given in centimeters per second, is the vertical component of the bubble's velocity. The mean vertical rise velocity is given by the slope of the straight line fit to a bubble's entire vertical position versus time data. (Source: U.S. Geological Survey)
    Range of values
    Minimum:21.96
    Maximum:21.96
    Units:unitless
    x [mm]
    x_mm: This is the position of the bubble along the x coordinate, left and right according to the camera 1 view, with x increasing to the right (see Browse Graphic). (Source: U.S. Geological Survey)
    Range of values
    Minimum:-4.23
    Maximum:1.36
    Units:millimeters
    y [mm]
    y_mm: This is the position of the bubble along the y coordinate, left and right according to the camera 2 view, with y increasing to the right (see Browse Graphic). (Source: U.S. Geological Survey)
    Range of values
    Minimum:1.9
    Maximum:3.66
    Units:millimeters
    z [mm]
    z_mm: This is the position of the bubble along the (vertical) z coordinate, with z increasing upward (see Browse Graphic). The z coordinate is the average z position as determined from cameras 1 and 2. (Source: U.S. Geological Survey)
    Range of values
    Minimum:46.69
    Maximum:130.23
    Units:millimeters
    Tilt Angle - Camera 1 [degrees]
    Tilt_Angle_Camera_1_degrees: This is the bubble's tilt as determined from camera 1 for each image. Tilt increases as the major axis of the bubble tips counterclockwise from horizontal. Note that for this nearly spherical bubble, the major axis is not well-defined, and the tilt results are consequently scattered more widely than for the ellipsoidal example bubbles in this data release. (Source: U.S. Geological Survey)
    Range of values
    Minimum:-22.97
    Maximum:28.17
    Units:degrees
    Tilt Angle - Camera 2 [degrees]
    Tilt_Angle_Camera_2_degrees: This is the bubble's tilt as determined from camera 2 for each image. Tilt increases as the major axis of the bubble tips counterclockwise from horizontal. Note that for this nearly spherical bubble, the major axis is not well-defined, and the tilt results are consequently scattered more widely than for the ellipsoidal example bubbles in this data release. (Source: U.S. Geological Survey)
    Range of values
    Minimum:-10.83
    Maximum:15.8
    Units:degrees
    uz_ins [cm/s]
    uz_ins_cm_per_s: This is the bubble's instantaneous vertical rise velocity, calculated as distance divided by time. The vertical distance traveled is the difference between the bubble's z coordinate at the time of the image and the z coordinate at the time of the previous image. The time is the time between images. Because this approach requires the bubble position for the previous image, no result is available for the bubble's first image, represented by the first row of data in the data file. Consequently, the instantaneous vertical rise velocity data cell is left blank for the first row of the data file. (Source: U.S. Geological Survey)
    Range of values
    Minimum:17.09
    Maximum:25.89
    Units:centimeter per second
    ut_ins [cm/s]
    ut_ins_cm_per_s: This is the bubble's instantaneous total rise velocity, calculated as distance divided by time. The total distance traveled between images is the difference between the bubble's x,y,z position at the time of the image and the bubble's x,y,z position at the time of the previous image. The time is the time between images. Because this approach requires the bubble position for the previous image, no result is available for the bubble's first image, represented by the first row of data in the data file. Consequently, the instantaneous total velocity data cell is left blank for the first row of the data file. Note that if the bubble rises perfectly vertically, the vertical rise velocity and total velocity are equal. If the bubble rises along a zigzag or helical path, the total velocity will exceed the vertical rise velocity. (Source: U.S. Geological Survey)
    Range of values
    Minimum:19.15
    Maximum:25.89
    Units:centimeter per second
    Distorted_Xenon_Hydrate
    This excel spreadsheet and associated csv file contain the image-by-image information about bubble size, location, rise velocity and orientation (tilt) for bubble number 622. Each row of data represents the results from one pair of camera 1 and 2 images captured as the bubble rose through the flow loop device. These data are for a xenon bubble with a hydrate-coated (rigid) surface. The rigid surface is approximately ellipsoidal, but with hydrate hanging from the lower sides of the bubble (see Flow_Loop_Bubble_Example_Images.png). Distortions, surface irregularities or portions of the bubble that seem to hang off the main bubble are not uncommon for the xenon hydrate bubbles observed in this study. Bubble 622 has a mean equivalent diameter of 7.09 millimeters and an aspect ratio of 1.57. As can be seen by plotting the x, y and z coordinates for the bubble during its rise, this bubble is dragged preferentially to one side as it rises rather than rising vertically. (Source: U.S. Geological Survey)
    Bubble ID
    Bubble_ID: Sequential designation of each bubble. The same Bubble ID is also used in the bubble path example spreadsheets in this data release. (Source: U.S. Geological Survey)
    Range of values
    Minimum:622
    Maximum:622
    Units:unitless
    Collection Date
    Collection_Date: Date on which the bubble data was collected, in the format YYYMMDD. (Source: U.S. Geological Survey)
    Range of values
    Minimum:20220311
    Maximum:20220311
    Units:unitless
    Gas Type
    Gas_Type: This bubble was formed with xenon (99.999% purity). (Source: U.S. Geological Survey) Character set (text).
    Pressure [MPa]
    Pressure_MPa: Pressure of the flow loop water in megapascals. This bubble was tested at a flow loop pressure of 1 MPa. (Source: U.S. Geological Survey)
    Range of values
    Minimum:1
    Maximum:1
    Units:Megapascals (MPa)
    Temperature [C]
    Temperature_C: Temperature of the flow loop water in Celsius. This bubble was tested at a temperature of 26.1 degrees Celsius. (Source: U.S. Geological Survey)
    Range of values
    Minimum:13.1
    Maximum:13.1
    Units:Degrees Celsius
    Surface Condition
    Surface_Condition: Condition of the bubble surface. This bubble was formed within the xenon hydrate pressure and temperatures stability conditions. The bubble surface has a rigid xenon hydrate coating, so the surface condition is given as "Hydrate". (Source: U.S. Geological Survey) Character set (text).
    Mean Equivalent Diameter (de) [mm]
    Mean_Equivalent_Diameter_de_mm: The mean equivalent diameter, denoted de, is the diameter of a sphere with a volume equal to that of the bubble being observed. The equivalent diameter is calculated from the major and minor axes values as the cubed root of the minor axis length, b, times the square of the major axis length, a: de = (ba^2)^(1/3). Values here are given in millimeters. (Source: U.S. Geological Survey)
    Range of values
    Minimum:7.09
    Maximum:7.09
    Units:millimeters
    Mean Aspect Ratio
    Mean_Aspect_Ratio: The mean aspect ratio is the bubble aspect ratio averaged over all of the images of a given bubble during its rise. For each image, the aspect ratio, calculated as the ratio of the major to minor axis lengths: a/b. A sphere would have an aspect ratio of 1, and ellipsoidal bubbles such as this one have aspect ratios exceeding 1. (Source: U.S. Geological Survey)
    Range of values
    Minimum:1.57
    Maximum:1.57
    Units:unitless
    Mean Vertical Rise Velocity (uz) [cm/s]
    Mean_Vertical_Rise_Velocity_uz_cm_per_s: The mean vertical rise velocity, denoted uz and given in centimeters per second, is the vertical component of the bubble's velocity. The mean vertical rise velocity is given by the slope of the straight line fit to a bubble's entire vertical position versus time data. (Source: U.S. Geological Survey)
    Range of values
    Minimum:17.4
    Maximum:17.4
    Units:unitless
    x [mm]
    x_mm: This is the position of the bubble along the x coordinate, left and right according to the camera 1 view, with x increasing to the right (see Browse Graphic). (Source: U.S. Geological Survey)
    Range of values
    Minimum:-6.06
    Maximum:0.04
    Units:millimeters
    y [mm]
    y_mm: This is the position of the bubble along the y coordinate, left and right according to the camera 2 view, with y increasing to the right (see Browse Graphic). (Source: U.S. Geological Survey)
    Range of values
    Minimum:6.7
    Maximum:21.97
    Units:millimeters
    z [mm]
    z_mm: This is the position of the bubble along the (vertical) z coordinate, with z increasing upward (see Browse Graphic). The z coordinate is the average z position as determined from cameras 1 and 2. (Source: U.S. Geological Survey)
    Range of values
    Minimum:45.46
    Maximum:133.27
    Units:millimeters
    Tilt Angle - Camera 1 [degrees]
    Tilt_Angle_Camera_1_degrees: This is the bubble's tilt as determined from camera 1 for each image. Tilt increases as the major axis of the bubble tips counterclockwise from horizontal. (Source: U.S. Geological Survey)
    Range of values
    Minimum:-17.77
    Maximum:17.09
    Units:degrees
    Tilt Angle - Camera 2 [degrees]
    Tilt_Angle_Camera_2_degrees: This is the bubble's tilt as determined from camera 2 for each image. Tilt increases as the major axis of the bubble tips counterclockwise from horizontal. (Source: U.S. Geological Survey)
    Range of values
    Minimum:-8.22
    Maximum:20.38
    Units:degrees
    uz_ins [cm/s]
    uz_ins_cm_per_s: This is the bubble's instantaneous vertical rise velocity, calculated as distance divided by time. The vertical distance traveled is the difference between the bubble's z coordinate at the time of the image and the z coordinate at the time of the previous image. The time is the time between images. Because this approach requires the bubble position for the previous image, no result is available for the bubble's first image, represented by the first row of data in the data file. Consequently, the instantaneous vertical rise velocity data cell is left blank for the first row of the data file. (Source: U.S. Geological Survey)
    Range of values
    Minimum:14.2
    Maximum:20.09
    Units:centimeter per second
    ut_ins [cm/s]
    ut_ins_cm_per_s: This is the bubble's instantaneous total rise velocity, calculated as distance divided by time. The total distance traveled between images is the difference between the bubble's x,y,z position at the time of the image and the bubble's x,y,z position at the time of the previous image. The time is the time between images. Because this approach requires the bubble position for the previous image, no result is available for the bubble's first image, represented by the first row of data in the data file. Consequently, the instantaneous total velocity data cell is left blank for the first row of the data file. Note that if the bubble rises perfectly vertically, the vertical rise velocity and total velocity are equal. If the bubble rises along a zigzag or helical path, the total velocity will exceed the vertical rise velocity. (Source: U.S. Geological Survey)
    Range of values
    Minimum:14.91
    Maximum:20.19
    Units:centimeter per second
    Entity_and_Attribute_Overview:
    These data are available in a Microsoft Excel XLSX as well as a CSV format. The first two rows in each XLSX file are header rows, where the second row is an abbreviated column label intended for software packages that are unable to cope with longer labels available in the first row of the XLSX file. The first part of the attribute definition (before the colon) indicates the abbreviated column label. The first row of each CSV file is a header line and is the same as the abbreviated column label on the second row of the XLSX file.
    Entity_and_Attribute_Detail_Citation: U.S. Geological Survey

Who produced the data set?

  1. Who are the originators of the data set? (may include formal authors, digital compilers, and editors)
    • Alexandra M. Padilla
    • William F. Waite
  2. Who also contributed to the data set?
  3. To whom should users address questions about the data?
    U.S. Geological Survey
    Attn: William F. Waite
    Research Geophysicist
    384 Woods Hole Road
    Woods Hole, Massachusetts
    USA

    508-548-8700 x2346 (voice)
    508-457-2310 (FAX)
    wwaite@usgs.gov

Why was the data set created?

This dataset links bubble volume, shape and rise velocity for gas bubbles with and without gas hydrate shells. These data provide a means for evaluating existing models that relate rise velocity to bubble volume. Information about bubble shape, along with examples of the bubble rise path (e.g., vertical, helical or zigzag), are provided in support of efforts to improve our understanding of how a gas hydrate shell slows a bubble’s rise rate relative to hydrate-free bubbles rising in clean water.

How was the data set created?

  1. From what previous works were the data drawn?
  2. How were the data generated, processed, and modified?
    Date: 07-Feb-2022 (process 1 of 6)
    Flow loop apparatus: between September 1, 2018 and February 7, 2022, the flow loop at the Woods Hole Coastal and Marine Science Center was modified to optimize the bubble rise velocity data collection. This process step outlines the apparatus configuration and environmental controls. The flow loop device (FLD) configuration is imaged in the file Flow_Loop_Apparatus.png. The closed loop can be pressurized to 1 MPa (~150 psi) using a syringe pump (not pictured). Temperature control is via the cooling water bath, which pumps chilled water through a tube wrapped around the FLD circulation pump and into a heat exchanger above the circulation pump (Flow_Loop_Apparatus.png, image A). FLD water temperatures can be held between room temperature and ~11 degrees Celsius.
    Bubbles are introduced into the FLD at the base of the observation chamber via a gas-filled syringe connected to a vertically oriented needle (Flow_Loop_Apparatus.png, image C). A computer-controlled solenoid valve can be used to allow only a single bubble's worth of gas into the chamber at one time. Bubbles introduced through the needle rise through a 0.91 meter (36") tall acrylic observation chamber (Flow_Loop_Apparatus.png, image A). The chamber's inner diameter (101.6 millimeter, 4") is designed to be large enough for centralized bubbles to rise without contacting the walls.
    Bubbles are imaged via a pair of computer-controlled cameras mounted so they face into the cylinder from perpendicular directions (Flow_Loop_Apparatus.png, image B and Browse Graphic). The cameras are set to image only the central portion of the cylinder, near the cylinder's top. This location allows the bubble to reach a terminal rise velocity prior to entering the camera's field of view. The camera collects data from ~90 millimeters of the bubble's rise, with a frame rate of 200 frames per second.
    To enhance the image contrast and allow bubble edges to be easily identified, the bubbles are backlit by LED panels, and that backlit light is diffused with a layer of diffuser film attached to the observation cylinder (Flow_Loop_Apparatus.png, image B). Example images collected with this system are given in the image file Flow_Loop_Bubble_Example_Images.png. Person who carried out this activity:
    U.S. Geological Survey
    Attn: William F. Waite
    Research Geophysicist
    384 Woods Hole Road
    Woods Hole, Massachusetts
    USA

    508-548-8700 x2346 (voice)
    508-457-2310 (FAX)
    wwaite@usgs.gov
    Date: 11-Mar-2022 (process 2 of 6)
    Image collection: between February 7, 2022 and March 11, 2022, data contained in this dataset were collected on bubbles observed in the flow loop at the Woods Hole Coastal and Marine Science Center. This process step outlines how the bubble images were collected and how the bubbles themselves were identified within a given image.
    Bubble images were collected with a pair of Edmund Optics IDS uEye cameras controlled by a Streampix 8 software package. To maximize the frame rate and the viewable bubble-rise interval, the field of view was set to a relatively narrow 440 pixels wide by 1024 pixels tall. With this field of view, each camera could record images taken at a rate of 200 frames per second.
    Images were stored as .avi video files for analysis with Matlab. These images were used to obtain frame-by-frame estimates of the position, size, shape and orientation of each bubble. A Matlab script was written to acquire these parameters with the following strategy: 1) Calculate the difference between frame of interest and the initial frame (the initial image was always recorded prior to the bubble arriving in the field of view). 2) Convert the difference image into a binary image using a threshold of 0.17. 3) Identify any objects in the frame using the regionprops MATLAB function. 4) If the area of a detected object is greater than 50 pixels, then properties such as the centroid, major/minor pixel axis, and tilt angle were extracted using the regionprops MATLAB function, as well as the time in seconds of the frame (used to calculate bubble velocity).
    Because the entire perimeter had to be captured with high contrast for this image processing sequence to be effective, images were excluded if the bubble extended outside the field of view of the camera. Additionally, bubble perimeter contrast was low due to low lighting at the upper and lower edges of the images, so bubbles within the ranges 0-100 pixels (top of the image) and 925-1024 pixels (bottom of the image) were discarded. Converting from pixel-based information to bubble position and size in 3-dimensional space is discussed in the next process step. Person who carried out this activity:
    U.S. Geological Survey
    Attn: William F. Waite
    Research Geophysicist
    384 Woods Hole Road
    Woods Hole, Massachusetts
    USA

    508-548-8700 x2353 (voice)
    508-457-2310 (FAX)
    wwaite@usgs.gov
    Date: 11-Mar-2022 (process 3 of 6)
    Image calibration: between February 7, 2022 and March 11, 2022, data contained in this dataset were collected on bubbles observed in the flow loop at the Woods Hole Coastal and Marine Science Center. This process step outlines how the images were calibrated for each run to attain bubble location, size and shape information.
    To establish a conversion between the position of a bubble in an image to the position of a bubble within the chamber, we attached a printed grid of points to outer surface of the cylinder such that the two cameras could simultaneously image the grid. One such grid was affixed to what the cameras viewed as the front of the cylinder, and another set of images was taken with the grid affixed to the cameras would see as the far side of the cylinder. The grid had points printed at equal spacings of 2.54 millimeters (0.1"). Because the grids themselves were directly attached to the observation cylinder a known distance below the top steel cap (see Browse Graphic), and the cameras were permanently mounted at a known distance from the cylinder (Flow_Loop_Apparatus.png, image B) the grid images provided a means of converting a camera's image pixel location to a pair of points on the near and far side of the cylinder. These two points define a ray, which can be parameterized by the two points on the cylinder, and a distance between them. When a bubble is imaged by both cameras, each camera provides a pixel correlated with the bubble's center, and hence, each camera provides a ray along which the center of the bubble must exist within the cylinder. The intersection of the two "bubble center" rays (one from each camera) defines the position of the center of the bubble in x, y and z coordinates (see Browse Graphic). Once the location of the center of the bubble is known, the size of the bubble can be calculated from the pixel locations defining the bubble edge.
    Once the cameras were calibrated using the grid approach, the grids were removed and a second piece of grid paper was affixed to the cylinder and matched to exactly overly the diffuser panels, which we never removed from the chamber. With the cameras on, the corners of each camera's field of view was drawn onto the grid in pen. Prior to each set of bubbles being collected at a given pressure, temperature and gas type, this field of view "calibration check" paper was replaced atop the diffuser panels, and the cylinder position was adjusted until the corners of each camera's field of view matched those indicated on the paper. Once a match was simultaneously attained for both cameras, the calibration check paper was removed, and the experiment could begin. In this way, the camera calibration could be held constant across each of the bubble conditions tested. Person who carried out this activity:
    U.S. Geological Survey
    Attn: William F. Waite
    Research Geophysicist
    384 Woods Hole Road
    Woods Hole, Massachusetts
    USA

    508-548-8700 x2353 (voice)
    508-457-2310 (FAX)
    wwaite@usgs.gov
    Date: 11-Mar-2022 (process 4 of 6)
    Parameter calculation: between February 7, 2022 and March 11, 2022, data contained in this dataset were collected on bubbles observed in the flow loop at the Woods Hole Coastal and Marine Science Center. This process step outlines how the calibrated bubble images were used to calculate the reported bubble geometries, rise rates and rise paths.
    For each bubble image calibrated and processed in Matlab, several parameters were obtained: 1) The timestamp at which the image was taken. 2) The position of the bubble centroid in millimeters for the x, y and z coordinates (see Browse Graphic). 3) The lengths (in millimeters) of the major and minor axes of the bubble. 4) The tilt angle, meaning the angle away from horizontal at which the major axis measurement was made (in degrees).
    From these values, the following data were calculated for each bubble image:
    1) The bubble volume, recorded as an equivalent diameter, de, in millimeters. The equivalent diameter is the diameter of a sphere with the same volume as the original (generally ellipsoidal) bubble. The equivalent diameter was calculated from the major and minor axes values as the cubed root of the minor axis length, b, times the square of the major axis length, a: de = (ba^2)^(1/3). 2) The aspect ratio, calculated as the ratio of the major to minor axis lengths: a/b. A sphere would have an aspect ratio of 1, and the ellipsoidal bubbles would have aspect ratios exceeding 1. 3) The instantaneous bubble rise velocity, calculated as the total distance traveled by the bubble from one frame to the next, divided by the time between frames. 4) The instantaneous vertical bubble rise velocity, calculated as the vertical distance traveled by the bubble from one frame to the next, divided by the time between frames. Unless the bubble rose only vertically, the total velocity would exceed the vertical velocity.
    Once all of the images for a particular bubble rise were processed, the average vertical rise velocity was taken as the slope of the straight line fit to the vertical position of the bubble as a function of time.
    Two numerical data file styles are provided in this dataset, and their column descriptions are provided in the attributes sections below. To summarize: the summary spreadsheet, AllBubbles_RiseVelocity_Size_Shape, contains the rise velocity, size and shape information for all bubbles reported in this work. The remaining four spreadsheets contains point-by-point information for four individual bubbles that exemplify endmember rise paths: (1) Small_Clean_Sphere has data for a small, hydrate-free bubble with a nearly vertical rise path, (2) Large_Clean_Ellipsoid has data for a large, hydrate-free bubble with a helical rise path, (3) Spherical_Xenon_Hydrate has data for a nearly spherical, xenon hydrate-coated bubble with a zigzag rise path (see Browse Graphic overlay for this bubble's rise path), and (4) Distorted_Xenon_Hydrate has data for a non-spherical, xenon hydrate-coated bubble that moves laterally while rising rather than oscillating around a single vertical line. The image file Flow_Loop_Bubble_Example_Images.png has the four bubble shapes. Person who carried out this activity:
    U.S. Geological Survey
    Attn: William F. Waite
    Research Geophysicist
    384 Woods Hole Road
    Woods Hole, Massachusetts
    USA

    508-548-8700 x2353 (voice)
    508-457-2310 (FAX)
    wwaite@usgs.gov
    Date: 11-Mar-2022 (process 5 of 6)
    Rise velocity measurements: between February 7, 2022 and March 11, 2022, data contained in this dataset were collected on bubbles observed in the flow loop at the Woods Hole Coastal and Marine Science Center. This process step outlines which gasses and test conditions were used, and how the bubbles were released.
    To measure rise rates for a specific gas, pressure and temperature, the chosen gas was drawn into a syringe pump. The laboratory air (room air) was simply air drawn in from the laboratory, with no further chemical analysis. Methane and xenon were purchased from the manufacturer with the manufacturer’s purity ratings given below in this process step. The syringe pump pressure was then balanced with the flow loop water pressure, which was controlled by a separate syringe pump. Two strategies were used to obtain individual bubbles:
    1) The burst strategy for obtaining a single gas bubble was to elevate the gas pressure approximately 1 psi (pound per square inch) above the water pressure. The solenoid valve in the gas line was triggered to open for between 25 and 45 milliseconds. While this would often result in a single bubble, this process could also generate multiple bubbles, in which case no images were taken. Only individual bubbles, rising independently, were recorded for this dataset.
    2) The continuous strategy for obtaining an independent bubble was to hold the solenoid valve open. The syringe pump was then set to continuous flow mode rather than continuous pressure mode. The flow rate was then reduced until the bubbles appeared at intervals of 20 seconds or more. At this interval, their rise rates were indistinguishable from single bubble rise rates obtained using the burst strategy.
    For both strategies, the exact parameters required to obtain single bubbles varied from gas to gas and pressure to pressure, and had to be tuned for each experiment.
    Prior to each test, the flow loop water was replaced with fresh tap water, and the flow loop was circulated to establish the desired water temperature. Because the flow loop water is initially fresh tap water, the xenon concentration is essentially zero to start with. Hydrate formation on a bubble is facilitated by elevated concentrations of the hydrate-forming gas in the surrounding water, so for the xenon experiments at hydrate-forming conditions (Flow loop water set to: pressure = 1 MPa, temperature = 13.1 Celsius), the initial bubble injections will be hydrate free until the flow loop water concentration is raised enough for hydrate to form. Consequently, for those flow loop conditions, the list of tests run below includes both hydrate-free and hydrate-coated xenon bubbles. Establishing what this critical xenon concentration in the flow loop water is for triggering hydrate formation will be included in a separate data release looking at gas dissolution rates from bubbles with and without gas hydrate shells.
    For the hydrate-free bubbles, the following flow loop water conditions were tested: Laboratory air (atmospheric pressure): Pressure: .101 Megapascals, Temperature: 26.1 Celsius Methane (99.99% purity) (atmospheric pressure): Pressure: .101 Megapascals, Temperature: 24.3 Celsius Methane (99.99% purity) (elevated pressure): Pressure: 1 Megapascals, Temperature: 26.0 Celsius Xenon (99.999% purity) (atmospheric pressure): Pressure: .101 Megapascals, Temperature: 23.1 Celsius Xenon (99.999% purity) (elevated pressure): Pressure: 1 Megapascals, Temperature: 23.3 Celsius Xenon (99.999% purity) (elevated pressure): Pressure: 1 Megapascals, Temperature: 13.1 Celsius For the hydrate-coated bubbles, the following flow loop water conditions were tested: Xenon (99.999% purity) (elevated pressure): Pressure: 1 Megapascals, Temperature: 13.1 Celsius Person who carried out this activity:
    U.S. Geological Survey
    Attn: William F. Waite
    Research Geophysicist
    384 Woods Hole Road
    Woods Hole, Massachusetts
    USA

    508-548-8700 x2353 (voice)
    508-457-2310 (FAX)
    wwaite@usgs.gov
    Date: 31-Jul-2022 (process 6 of 6)
    Data archiving: Microsoft Excel version 16.63.1 (22071301) was used to consolidate all data in a series of spreadsheets. Results were then exported to a comma-separated values (csv) file format. Person who carried out this activity:
    U.S. Geological Survey
    Attn: William F. Waite
    Research Geophysicist
    384 Woods Hole Road
    Woods Hole, Massachusetts
    USA

    508-548-8700 x2346 (voice)
    508-457-2310 (FAX)
    wwaite@usgs.gov
  3. What similar or related data should the user be aware of?

How reliable are the data; what problems remain in the data set?

  1. How well have the observations been checked?
  2. How accurate are the geographic locations?
    These are laboratory measurements on bubbles rising in an acrylic cylinder. The horizontal position accuracy here refers to the accuracy with which the horizontal position of the bubble can be calculated for each recorded image. Given the calibration procedure described in the process steps and the camera resolution, the horizontal position accuracy is taken to be plus or minus 0.5 millimeters
  3. How accurate are the heights or depths?
    These are laboratory measurements on bubbles rising in an acrylic cylinder. The vertical position accuracy here refers to the accuracy with which the vertical position of the bubble can be calculated for each recorded image. Given the calibration procedure described in the process steps and the camera resolution, the vertical position accuracy is taken to be plus or minus 0.5 millimeters
  4. Where are the gaps in the data? What is missing?
    This dataset provides five distinct data spreadsheets with no blank elements, along with two explanatory image files, and is considered complete. The summary spreadsheet, AllBubbles_RiseVelocity_Size_Shape, contains the rise velocity, size and shape information for all bubbles reported in this work. The remaining four spread sheets contains point-by-point information for four individual bubbles that exemplify endmember rise paths: (1) Small_Clean_Sphere has data for a small, hydrate-free bubble with a nearly vertical rise path, (2) Large_Clean_Ellipsoid has data for a large, hydrate-free bubble with a helical rise path, (3) Spherical_Xenon_Hydrate has data for a nearly spherical, xenon hydrate-coated bubble with a zigzag rise path (see Browse Graphic overlay for this bubble's rise path), and (4) Distorted_Xenon_Hydrate has data for a non-spherical, xenon hydrate-coated bubble that moves laterally while rising rather than oscillating around a single vertical line. The image file Flow_Loop_Bubble_Example_Images.png has the four bubble shapes. The Browse Graphic provides a schematic of the bubble imaging system.
  5. How consistent are the relationships among the observations, including topology?
    To measure the dependence of bubble rise velocity on bubble chemistry, size, shape and surface properties, we configured the flow loop apparatus at the Woods Hole Coastal and Marine Science Center to run a series of experiments organized with the following four-part strategy:
    1. Measure bubble rise velocity: image the bubble's rise to obtain the bubble's position as a function of time. Velocity is then given by the change in position per unit time.
    2. Measure rise velocity dependence on bubble volume and shape: use two high-speed cameras oriented perpendicularly to each other (see browse graphic) to capture the 3-dimensional bubble volume and shape.
    3. Measure rise velocity dependence on gas type: use three gases (air, methane and xenon) to characterize the dependence of rise velocity on gas chemistry and density.
    4. Determine rise velocity dependence on bubble surface properties: measure xenon bubble rise rates at pressures and temperatures for which the bubbles either will or will not have a rigid gas hydrate shell.

How can someone get a copy of the data set?

Are there legal restrictions on access or use of the data?
Access_Constraints None.
Use_Constraints Public domain data from the U.S. Government are freely redistributable with proper metadata and source attribution. Please recognize the U.S. Geological Survey as the originator of the dataset.
  1. Who distributes the data set? (Distributor 1 of 1)
    U.S. Geological Survey - ScienceBase
    Denver Federal Center, Building 810, Mail Stop 302
    Denver, CO

    1-888-275-8747 (voice)
    sciencebase@usgs.gov
  2. What's the catalog number I need to order this data set? This dataset contains fourteen files: AllBubbles_RiseVelocity_Size_Shape.xlsx (data in an Excel spreadsheet), AllBubbles_RiseVelocity_Size_Shape.csv (same data in a comma-separated text file), Small_Clean_Sphere.xlsx (data in an Excel spreadsheet), Small_Clean_Sphere.csv (same data in a comma-separated text file), Large_Clean_Ellipsoid.xlsx (data in an Excel spreadsheet), Large_Clean_Ellipsoid.csv (same data in a comma-separated text file), Spherical_Xenon_Hydrate.xlsx (data in an Excel spreadsheet), Spherical_Xenon_Hydrate.csv (same data in a comma-separated text file), Distorted_Xenon_Hydrate.xlsx (data in an Excel spreadsheet), Distorted_Xenon_Hydrate.csv (same data in a comma-separated text file), Flow_Loop_Coordinates_BrowseGraphic.png (browse graphic), Flow_Loop_Apparatus.png (schematic of the flow loop device), Flow_Loop_Bubble_Example_Images.png (images of the four example bubbles), and FGDC CSDGM metadata in XML format.
  3. What legal disclaimers am I supposed to read?
    Unless otherwise stated, all data, metadata and related materials are considered to satisfy the quality standards relative to the purpose for which the data were collected. Although these data and associated metadata have been reviewed for accuracy and completeness and approved for release by the U.S. Geological Survey (USGS), no warranty expressed or implied is made regarding the display or utility of the data for other purposes, nor on all computer systems, nor shall the act of distribution constitute any such warranty.
  4. How can I download or order the data?
  5. What hardware or software do I need in order to use the data set?
    These data are available in XLSX and CSV formats, with the browse graphic, apparatus and sample bubble images in PNG format. The user must have software capable of reading the data formats.

Who wrote the metadata?

Dates:
Last modified: 02-Mar-2026
Metadata author:
U.S. Geological Survey
Attn: William F. Waite
Research Geophysicist
384 Woods Hole Rd.
Woods Hole, MA

508-548-8700 x2346 (voice)
508-457-2310 (FAX)
whsc_data_contact@usgs.gov
Contact_Instructions:
The metadata contact email address is a generic address in the event the person is no longer with USGS.
Metadata standard:
FGDC Content Standards for Digital Geospatial Metadata (FGDC-STD-001-1998)

This page is <https://cmgds.marine.usgs.gov/catalog/whcmsc/SB_data_release/DR_P9IG5BHE/Flow_Loop_Rise_Velocity_Metadata.faq.html>
Generated by mp version 2.9.51 on Mon Mar 2 14:55:46 2026