{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,16]],"date-time":"2026-01-16T02:15:32Z","timestamp":1768529732641,"version":"3.49.0"},"reference-count":46,"publisher":"MDPI AG","issue":"17","license":[{"start":{"date-parts":[[2022,9,1]],"date-time":"2022-09-01T00:00:00Z","timestamp":1661990400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["U1709203"],"award-info":[{"award-number":["U1709203"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["41976176"],"award-info":[{"award-number":["41976176"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["42176188"],"award-info":[{"award-number":["42176188"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["42176192"],"award-info":[{"award-number":["42176192"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Remote Sensing"],"abstract":"<jats:p>In recent years, multibeam sonar has become the most effective and sensitive tool for the detection and quantitation of underwater gas leakage and its rise through the water column. Motivated by recent research, this paper presents an efficient method for the detection and quantitation of gas leakage based on a 300-kHz multibeam sonar. In the proposed gas leakage detection method based on multibeam sonar water column images, not only the backscattering strength of the gas bubbles but also the size and aspect ratio of a gas plume are used to isolate interference objects. This paper also presents a volume-scattering strength optimization model to estimate the gas flux. The bubble size distribution, volume, and flux of gas leaks are determined by matching the theoretical and measured values of the volume-scattering strength of the gas bubbles. The efficiency and effectiveness of the proposed method have been verified by a case study at the artificial gas leakage site in the northern South China Sea. The results show that the leaking gas flux is approximately between 29.39 L\/min and 56.43 L\/min under a bubble radius ranging from 1 mm to 12 mm. The estimated results are in good agreement with the recorded data (32\u201367 L\/min) for gas leaks generated by an air compressor. The experimental results demonstrate that the proposed method can achieve effective and accurate detection and quantitation of gas leakages.<\/jats:p>","DOI":"10.3390\/rs14174301","type":"journal-article","created":{"date-parts":[[2022,9,1]],"date-time":"2022-09-01T03:55:38Z","timestamp":1662004538000},"page":"4301","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":15,"title":["An Efficient Method for Detection and Quantitation of Underwater Gas Leakage Based on a 300-kHz Multibeam Sonar"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0781-2506","authenticated-orcid":false,"given":"Wanyuan","family":"Zhang","sequence":"first","affiliation":[{"name":"College of Underwater Acoustic Engineering, Harbin Engineering University, Harbin 150001, China"},{"name":"Acoustic Science and Technology Laboratory, Harbin Engineering University, Harbin 150001, China"},{"name":"Key Laboratory of Marine Information Acquisition and Security (Harbin Engineering University), Ministry of Industry and Information Technology, Harbin 150001, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8403-9743","authenticated-orcid":false,"given":"Tian","family":"Zhou","sequence":"additional","affiliation":[{"name":"College of Underwater Acoustic Engineering, Harbin Engineering University, Harbin 150001, China"},{"name":"Acoustic Science and Technology Laboratory, Harbin Engineering University, Harbin 150001, China"},{"name":"Key Laboratory of Marine Information Acquisition and Security (Harbin Engineering University), Ministry of Industry and Information Technology, Harbin 150001, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2956-5940","authenticated-orcid":false,"given":"Jianghui","family":"Li","sequence":"additional","affiliation":[{"name":"The State Key Laboratory of Marine Environmental Science, College of Ocean and Earth Sciences, Xiamen University, Xiamen 361102, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0174-5122","authenticated-orcid":false,"given":"Chao","family":"Xu","sequence":"additional","affiliation":[{"name":"College of Underwater Acoustic Engineering, Harbin Engineering University, Harbin 150001, China"},{"name":"Acoustic Science and Technology Laboratory, Harbin Engineering University, Harbin 150001, China"},{"name":"Key Laboratory of Marine Information Acquisition and Security (Harbin Engineering University), Ministry of Industry and Information Technology, Harbin 150001, China"}]}],"member":"1968","published-online":{"date-parts":[[2022,9,1]]},"reference":[{"key":"ref_1","first-page":"485","article-title":"Quantification of undersea gas leaks from carbon capture and storage facilities, from pipelines and from methane seeps, by their acoustic emissions","volume":"468","author":"Leighton","year":"2012","journal-title":"Proc. R. Soc. Math. Phys. Eng. Sci."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"267","DOI":"10.1002\/lom3.10024","article-title":"A new methodology for quantifying bubble flow rates in deep water using splitbeam echosounders: Examples from the Arctic offshore NW-Svalbard","volume":"13","author":"Veloso","year":"2015","journal-title":"Limnol. Oceanogr. Methods"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1002\/lom3.10138","article-title":"Processing of multibeam water column image data for automated bubble\/seep detection and repeated mapping","volume":"15","author":"Urban","year":"2017","journal-title":"Limnol. Oceanogr. Methods"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"e2020JC016360","DOI":"10.1029\/2020JC016360","article-title":"Broadband acoustic inversion for gas flux quantification\u2014Application to a methane plume at Scanner Pockmark, central North Sea","volume":"125","author":"Li","year":"2020","journal-title":"J. Geophys. Res. Oceans"},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"Zhao, J., Mai, D., Zhang, H., and Wang, S. (2020). Automatic Detection and Segmentation on Gas Plumes from Multibeam Water Column Images. Remote Sens., 12.","DOI":"10.3390\/rs12183085"},{"key":"ref_6","doi-asserted-by":"crossref","unstructured":"Xu, C., Wu, M., Zhou, T., Li, J., Du, W., Zhang, W., and White, P.R. (2020). Optical Flow-Based Detection of Gas Leaks from Pipelines Using Multibeam Water Column Images. Remote Sens., 12.","DOI":"10.3390\/rs12010119"},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Minelli, A., Tassetti, A.N., Hutton, B., Pezzuti Cozzolino, G.N., Jarvis, T., and Fabi, G. (2021). Semi-Automated Data Processing and Semi-Supervised Machine Learning for the Detection and Classification of Water-Column Fish Schools and Gas Seeps with a Multibeam Echosounder. Sensors, 21.","DOI":"10.3390\/s21092999"},{"key":"ref_8","doi-asserted-by":"crossref","unstructured":"Huang, J., Zhou, T., Du, W., Shen, J., and Zhang, W. (2018). Smart Ocean: A New Fast Deconvolved Beamforming Algorithm for Multibeam Sonar. Sensors, 18.","DOI":"10.3390\/s18114013"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1029\/2008GC002118","article-title":"Hydroacoustic methodology for detection, localization, and quantification of gas bubbles rising from the seafloor at gas seeps from the eastern Black Sea","volume":"9","author":"Nikolovska","year":"2008","journal-title":"Geochem. Geophys. Geosyst."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1121\/1.381252","article-title":"Thermal effects and damping mechanisms in the forcedradial oscillations of gas bubbles in liquids","volume":"61","author":"Prosperetti","year":"1977","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"1499","DOI":"10.1121\/1.398711","article-title":"Simple approximate formulas for backscattering of sound by spherical and elongated objects","volume":"86","author":"Stanton","year":"1989","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"407","DOI":"10.1016\/S0041-624X(97)00021-8","article-title":"New expressions of acoustic cross-sections of a single bubble in the monopole bubble theory","volume":"35","author":"Thuraisingham","year":"1997","journal-title":"Ultrasonics"},{"key":"ref_13","unstructured":"Medwin, H., and Clay, C.S. (1998). Fundamentals of Acoustical Oceanography, Academic Press."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"3184","DOI":"10.1121\/1.3628321","article-title":"Review of scattering and extinction cross-sections, damping factors, and resonance frequencies of a spherical gas bubble","volume":"130","author":"Ainslie","year":"2011","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"64","DOI":"10.1016\/j.ijggc.2015.02.008","article-title":"Passive acoustic quantification of gas fluxes during controlled gas release experiments","volume":"38","author":"Leighton","year":"2015","journal-title":"Int. J. Greenh. Gas Control"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"191","DOI":"10.1007\/s11001-014-9223-y","article-title":"Acoustic monitoring of gas emissions from the seafloor. Part I: Quantifying the volumetric flow of bubbles","volume":"35","author":"Leblond","year":"2014","journal-title":"Mar. Geophys. Res."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"2504","DOI":"10.1121\/10.0004246","article-title":"Acoustic backscattering observations from non-spherical gas bubbles with ka between 0.03 and 4.4","volume":"149","author":"Padilla","year":"2021","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_18","unstructured":"Berg\u00e8s, B.J.P. (2015). Acoustic Detection of Seabed Gas Leaks, with Application to Carbon Capture and Storage (CCS), and lEak Prevention Forthe Oil and Gas Industry. [Ph.D. Dissertation, University of Southampton]."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"1893","DOI":"10.1121\/1.1651116","article-title":"Animations for visualizing and teaching acoustic impulse scattering from spheres","volume":"115","author":"Feuillade","year":"2004","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"145","DOI":"10.3135\/jmasj.43.145","article-title":"Measurement of Fish School Backscattering Strength Directivity Using Omnidirectional Scanning Sonar","volume":"43","author":"Ryuzo","year":"2016","journal-title":"J. Mar. Acoust. Soc. Jpn."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"1268","DOI":"10.1007\/s00343-019-8113-1","article-title":"High-frequency acoustic backscattering characteristics for acoustic detection of the red tide species Akashiwo sanguinea and Alexandrium affine","volume":"37","author":"Kim","year":"2019","journal-title":"J. Oceanol. Limnol."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"148","DOI":"10.1016\/j.apacoust.2016.04.017","article-title":"High resolution 3-D shapes of fish schools: A new method to use the water column backscatter from hydrographic MultiBeam Echo Sounders","volume":"111","author":"Innangi","year":"2016","journal-title":"Appl. Acoust."},{"key":"ref_23","first-page":"54","article-title":"Mapping Gas Seeps with the Deepwater Multibeam Echosounder on Okecmos Explorer","volume":"25","author":"Weber","year":"2012","journal-title":"Oceanography"},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1016\/j.ecss.2014.04.002","article-title":"A review of oceanographic applications of water column data from multibeam echosounders","volume":"145","author":"Colbo","year":"2014","journal-title":"Estuar. Coast. Shelf Sci."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"24","DOI":"10.1016\/j.csr.2014.07.004","article-title":"Fluid emissions at the Aquitaine Shelf (Bay of Biscay, France): A biogenic origin or the expression of hydrocarbon leakage?","volume":"88","author":"Berger","year":"2014","journal-title":"Cont. Shelf Res."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"718","DOI":"10.1016\/j.marpetgeo.2015.07.026","article-title":"Ongoing methane discharge at well site 22\/4b (North Sea) and discovery of a spiral vortex bubble plume motion","volume":"68","author":"Linke","year":"2015","journal-title":"Mar. Pet. Geol."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"1346","DOI":"10.1109\/JOE.2021.3056910","article-title":"A CFAR Detection Approach for Identifying Gas Bubble Seeps with Multibeam Echo Sounders","volume":"46","author":"Weber","year":"2021","journal-title":"IEEE J. Ocean. Eng."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"2163","DOI":"10.1121\/1.3180130","article-title":"Near resonant bubble acoustic cross-section corrections, including examples from oceanography, volcanology, and biomedical ultrasound","volume":"126","author":"Ainslie","year":"2009","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"426","DOI":"10.1121\/1.1906621","article-title":"Sound Scattering from a Fluid Sphere","volume":"22","author":"Anderson","year":"1950","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.epsl.2006.02.011","article-title":"1300-m-high rising bubbles from mud volcanoes at 2080 m in the Black Sea: Hydroacoustic characteristics and temporal variability","volume":"244","author":"Greinert","year":"2006","journal-title":"Earth Planet. Sci. Lett."},{"key":"ref_31","first-page":"375","article-title":"The Mechanics of Large Bubbles Rising through Extended Liquids and through Liquids in Tubes","volume":"200","author":"Taylor","year":"1950","journal-title":"Proc. R. Soc. Lond."},{"key":"ref_32","first-page":"116","article-title":"Shapes and velocities of bubbles rising in infinite liquids","volume":"51","author":"Grace","year":"1973","journal-title":"Trans. Inst. Chem. Eng."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"571","DOI":"10.1016\/S0098-1354(01)00636-6","article-title":"Shape and terminal velocity of single bubble motion: A novel approach","volume":"25","author":"Bozzano","year":"2001","journal-title":"Comput. Chem. Eng."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"692","DOI":"10.1016\/j.net.2016.12.006","article-title":"A Simple Parameterization for the Rising Velocity of Bubbles in a Liquid Pool","volume":"49","author":"Park","year":"2017","journal-title":"Nucl. Eng. Technol."},{"key":"ref_35","unstructured":"Urick, R.J. (1983). Principles of Underwater Sound, Peninsula Publishing. [3rd ed.]."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"294","DOI":"10.1016\/j.oceaneng.2019.03.046","article-title":"A noise impact assessment model for passive acoustic measurements of seabed gas fluxes","volume":"183","author":"Li","year":"2019","journal-title":"Ocean Eng."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"1357","DOI":"10.1121\/1.1907913","article-title":"Equation for the Speed of Sound in Sea Water","volume":"32","author":"Wilson","year":"1960","journal-title":"J. Acoust. Soc. Am."},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"110723","DOI":"10.1109\/ACCESS.2021.3097185","article-title":"Overall Filtering Algorithm for Multiscale Noise Removal From Point Cloud Data","volume":"9","author":"Ren","year":"2021","journal-title":"IEEE Access"},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"276","DOI":"10.1109\/TAP.1986.1143830","article-title":"Multiple emitter location and signal parameter estimation","volume":"57","author":"Schmidt","year":"1986","journal-title":"IEEE Trans. Antennas Propag."},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"1408","DOI":"10.1109\/PROC.1969.7278","article-title":"High-resolution frequency-wavenumber spectrum analysis","volume":"57","author":"Capon","year":"1969","journal-title":"Proc. IEEE."},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"2","DOI":"10.1117\/12.949696","article-title":"Progress in eigenvector beamforming","volume":"564","author":"Speiser","year":"1986","journal-title":"Real-Time Signal Process. VIII"},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"103316","DOI":"10.1016\/j.ijggc.2021.103316","article-title":"Passive acoustic localisation of undersea gas seeps using beamforming","volume":"108","author":"Li","year":"2021","journal-title":"Int. J. Greenh. Gas Control"},{"key":"ref_43","unstructured":"Baggeroer, B. (1999, January 24\u201327). Passive sonar limits upon nulling multiple moving ships with large aperture arrays. Proceedings of the Conference Record of the Thirty-Third Asilomar Conference on Signals, Systems, and Computers, Pacific Grove, CA, USA."},{"key":"ref_44","first-page":"3","article-title":"Applications of multibeam water column imaging for hydrographic survey","volume":"120","year":"2006","journal-title":"Hydrogr. J."},{"key":"ref_45","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1016\/S0990-7440(01)01121-4","article-title":"Correction on school geometry and density: Approach based on acoustic image simulation","volume":"14","author":"Diner","year":"2001","journal-title":"Aquat. Living Resour."},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"813","DOI":"10.1093\/icesjms\/fsw186","article-title":"Estimating the volumes of fish schools from observations with multi-beam sonars","volume":"74","author":"Vatnehol","year":"2017","journal-title":"ICES J. Mar. Sci."}],"container-title":["Remote Sensing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2072-4292\/14\/17\/4301\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T00:21:26Z","timestamp":1760142086000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2072-4292\/14\/17\/4301"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,9,1]]},"references-count":46,"journal-issue":{"issue":"17","published-online":{"date-parts":[[2022,9]]}},"alternative-id":["rs14174301"],"URL":"https:\/\/doi.org\/10.3390\/rs14174301","relation":{},"ISSN":["2072-4292"],"issn-type":[{"value":"2072-4292","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,9,1]]}}}