Abstract
Depressurization technique is considered as one of the most promising techniques in dissociating gas hydrates. However, since dissociation of hydrates is an endothermic process. Dissociation alone through depressurization is not a feasible technique due to limited heat transfer. The reduced heat transfer results in rapid cooling, thereby causing reduced permeability due to ice formation and re-formation of hydrates. The objective of the current study is to investigate the viability of depressurization under worst case scenario of suppressed heat transfer. The worst case scenario is simulated by employing Newman boundary of no heat flux from the surroundings. The novelty of the present work lies in investigating the gas production behavior using depressurization in a worst case scenario. For this purpose, a 2D model is applied for a 150 m × 150 m system. A production well is placed at the center of the domain. The depressurization is performed by the withdrawal of fluids from the production well. In order to determine the suitable depressurization rate, the withdrawal of fluids is carried out within a range of 0.01–0.6 kg/s. The overall cumulative production at the well (mass of CH4) is determined. In this study, we demonstrate that three major causes, namely ice formation, secondary hydrates and reservoir achieving steady state are responsible for stopping of gas production. Insights into the dissociation behavior of the cases analysed are obtained from the contours of gas, water, hydrate, pressure, equilibrium pressure, temperature, relative gas permeability, and relative water permeability.
Similar content being viewed by others
Abbreviations
- b:
-
Slippage factor
- cR :
-
Specific heat capacity of rock [J/(kg K)]
- Ea:
-
Activation energy (J/mol)
- FA :
-
Area adjustment factor
- feq:
-
Equilibrium fugacity of gas phase
- fg:
-
Fugacity of gas phase
- g:
-
Gravitational acceleration (m/s2)
- G:
-
Gas phase denotation
- H:
-
Height of hydrate reservoir (m)
- Hdep :
-
Specific enthalpy of departure of gas (J/kg)
- Hm :
-
Specific enthalpy of methane in water (J/kg)
- Hisol :
-
Specific enthalpy corresponding to inhibitor dissolution in water (J/kg)
- Hmsol :
-
Specific enthalpy corresponding to methane dissolution in water (J/kg)
- hmG :
-
Specific enthalpy of methane in gas (J/kg)
- hw :
-
Specific enthalpy of water in water (J/kg)
- KA q :
-
Thermal conductivity of water [W/(m K)]
- KG :
-
Thermal conductivity of gas [W/(m K)]
- KH :
-
Thermal conductivity of hydrate [W/(m K)]
- KI :
-
Thermal conductivity of ice [W/(m K)]
- KR :
-
Thermal conductivity of rock [W/(m K)]
- Kid :
-
Absorption distribution coefficient (m3/kg)
- kd0 :
-
Intrinsic reaction rate of hydrate [mol/(m2 Pa s)]
- k:
-
Intrinsic permeability (m2)
- krA q :
-
Relative permeability of water
- krg :
-
Relative permeability of gas
- L:
-
Hydrate reservoir length (m)
- Mm :
-
Molecular weight of CH4 (g/mol)
- Mw :
-
Molecular weight of H2O (g/mol)
- N:
-
Hydration number (6)
- PA q :
-
Pressure exerted by water phase (Pa)
- Peq :
-
Equilibrium pressure of hydrate (Pa)
- PG :
-
Pressure exerted by gas phase (Pa)
- qd :
-
Heat injection rate (W)
- qI :
-
Water injection rate of water (m3/s)
- R:
-
Gas constant
- SW :
-
Saturation of water (fraction)
- SG :
-
Saturation of gas (fraction)
- SH :
-
Saturation of hydrate (fraction)
- SICE :
-
Saturation of ice (fraction)
- T:
-
Temperature of reservoir (°C)
- t:
-
Time (s)
- Udep :
-
Specific internal energy of departing gas mixture (J/kg)
- umG :
-
Specific internal energy of CH4 in gas phase (J/kg)
- uwG :
-
Specific internal energy of H2O in gas phase (J/kg)
- uH :
-
Specific internal energy of gas hydrate (J/kg)
- uI :
-
Specific internal energy of ice (J/kg)
- um :
-
Specific internal energy of CH4 in water phase (J/kg)
- MHSZ:
-
Methane hydrate stability zone
- BHSZ:
-
Bottom of hydrate stability zone
References
Arora A, Cameotra S (2014) Effects of biosurfactants on gas hydrates. J Pet Environ Biotechnol. https://doi.org/10.4172/2157-7463.1000170
Arora A, Singh S (2015) Natural gas hydrate as an upcoming resource of energy. J Pet Environ Biotechnol 06:1–6. https://doi.org/10.4172/2157-7463.1000199
Behseresht J, Bryant SL (2012) Sedimentological control on saturation distribution in Arctic gas-hydrate-bearing sands. Earth Planet Sci Lett 341–344:114–127. https://doi.org/10.1016/j.epsl.2012.06.019
Bhade P, Phirani J (2015) Gas production from layered methane hydrate reservoirs. Energy 82:686–696. https://doi.org/10.1016/j.energy.2015.01.077
Birkedal KA, Freeman CM, Moridis GJ, Graue A (2014) Numerical predictions of experimentally observed methane hydrate dissociation and reformation in sandstone. Energy Fuels 28:5573–5586. https://doi.org/10.1021/ef500255y
Bouriak S, Vanneste M, Saoutkine A (2000) Inferred gas hydrates and clay diapirs near the Storegga Slide on the southern edge of the Vøring Plateau, offshore Norway. Mar Geol 163:125–148. https://doi.org/10.1016/S0025-3227(99)00115-2
Burwicz EB, Rüpke LH, Wallmann K (2011) Estimation of the global amount of submarine gas hydrates formed via microbial methane formation based on numerical reaction-transport modeling and a novel parameterization of Holocene sedimentation. Geochim Cosmochim Acta 75:4562–4576. https://doi.org/10.1016/j.gca.2011.05.029
Chen L, Chi WC, Wu SK et al (2014) Two dimensional fluid flow models at two gas hydrate sites offshore southwestern Taiwan. J Asian Earth Sci 92:245–253. https://doi.org/10.1016/j.jseaes.2014.01.004
Chong ZR, Yin Z, Linga P (2017) Production behavior from hydrate bearing marine sediments using depressurization approach. Energy Procedia 105:4963–4969. https://doi.org/10.1016/j.egypro.2017.03.991
Circone S, Stern LA, Kirby SH et al (2000) Methane hydrate dissociation rates at 0.1 MPa and temperatures above 272 K. Ann NY Acad Sci 912:544–555. https://doi.org/10.1111/j.1749-6632.2000.tb06809.x
Collett T (1995) Gas hydrate resources of the United States In: Gautier D, Dolton G (eds) Natl. Assessment of US Oil & Gas Resources, (CD-ROM) USGS Ser. 30, p 78 + CD
Collett TS, Riedel M, Boswell R et al (2015) Indian National Gas Hydrate Program Expedition 01 report. Sci Investig Rep. https://doi.org/10.3133/sir20125054
Crutchley GJ, Geiger S, Pecher IA et al (2010a) The potential influence of shallow gas and gas hydrates on sea floor erosion of Rock Garden, an uplifted ridge offshore of New Zealand. Geo-Mar Lett 30:283–303. https://doi.org/10.1007/s00367-010-0186-y
Crutchley GJ, Pecher IA, Gorman AR et al (2010b) Seismic imaging of gas conduits beneath seafloor seep sites in a shallow marine gas hydrate province, Hikurangi Margin, New Zealand. Mar Geol 272:114–126. https://doi.org/10.1016/j.margeo.2009.03.007
Crutchley GJ, Klaeschen D, Planert L et al (2014) The impact of fluid advection on gas hydrate stability: investigations at sites of methane seepage offshore Costa Rica. Earth Planet Sci Lett 401:95–109. https://doi.org/10.1016/j.epsl.2014.05.045
Cui Y, Lu C, Wu M et al (2018) Review of exploration and production technology of natural gas hydrate. Adv Geo-Energy Res 2:53–62. https://doi.org/10.26804/ager.2018.01.05
Davie MK, Buffett BA (2001) A numerical model for the formation of gas hydrate below the seafloor. J Geophys Res Solid Earth 106:497–514. https://doi.org/10.1029/2000JB900363
Davie MK, Buffett BA (2003a) A steady state model for marine hydrate formation: constraints on methane supply from pore water sulfate profiles. J Geophys Res Solid Earth. https://doi.org/10.1029/2002JB002300
Davie MK, Buffett BA (2003b) Sources of methane for marine gas hydrate: inferences from a comparison of observations and numerical models. Earth Planet Sci Lett 206:51–63. https://doi.org/10.1016/S0012-821X(02)01064-6
De La Fuente M, Vaunat J, Marín-Moreno H (2019) Thermo-hydro-mechanical coupled modeling of methane hydrate-bearing sediments: formulation and application. Energies. https://doi.org/10.3390/en12112178
Fang B, Ning F, Ou W et al (2019) The dynamic behavior of gas hydrate dissociation by heating in tight sandy reservoirs: a molecular dynamics simulation study. Fuel. https://doi.org/10.1016/j.fuel.2019.116106
Feng JC, Wang Y, Sen LX et al (2015) Production behaviors and heat transfer characteristics of methane hydrate dissociation by depressurization in conjunction with warm water stimulation with dual horizontal wells. Energy 79:315–324. https://doi.org/10.1016/j.energy.2014.11.018
Feng Y, Chen L, Suzuki A et al (2019) Enhancement of gas production from methane hydrate reservoirs by the combination of hydraulic fracturing and depressurization method. Energy Convers Manag 184:194–204. https://doi.org/10.1016/j.enconman.2019.01.050
Field ME (1990) Submarine landslides associated with shallow seafloor gas and gas hydrates off northern California. In: American Association of Petroleum Geologists Bulletin. United States
Frederick JM, Buffett BA (2011) Topography- and fracture-driven fluid focusing in layered ocean sediments. Geophys Res Lett. https://doi.org/10.1029/2010GL046027
Gao Yi, Yang M, Zheng JN, Chen B (2018) Production characteristics of two class water-excess methane hydrate deposits during depressurization. Fuel 232:99–107. https://doi.org/10.1016/j.fuel.2018.05.137
Goto S, Yamano M, Morita S et al (2017) Physical and thermal properties of mud-dominant sediment from the Joetsu Basin in the eastern margin of the Japan Sea. Mar Geophys Res 38:393–407. https://doi.org/10.1007/s11001-017-9302-y
Gupta A, Moridis GJ, Kneafsey TJ, Sloan ED (2009) Modeling pure methane hydrate dissociation using a numerical simulator from a novel combination of X-ray computed tomography and macroscopic data. Energy Fuels 23:5958–5965. https://doi.org/10.1021/ef9006565
Heeschen KU, Abendroth S, Priegnitz M et al (2016) Gas production from methane hydrate: a laboratory simulation of the multistage depressurization test in Mallik, Northwest Territories, Canada. Energy Fuels 30:6210–6219. https://doi.org/10.1021/acs.energyfuels.6b00297
Hillman JIT, Crutchley GJ, Kroeger KF (2020) Investigating the role of faults in fluid migration and gas hydrate formation along the southern Hikurangi Margin, New Zealand. Mar Geophys Res 41:1–19. https://doi.org/10.1007/s11001-020-09400-2
Jin J, Wang X, He M et al (2020) Downward shift of gas hydrate stability zone due to seafloor erosion in the eastern Dongsha Island, South China Sea. J Oceanol Limnol. https://doi.org/10.1007/s00343-020-0064-z
Khan SH, Misra AK, Majumder CB, Arora A (2020) Hydrate dissociation using microwaves, radio frequency, ultrasonic radiation, and plasma techniques. ChemBioEng Rev 7:130–146. https://doi.org/10.1002/cben.202000004
Konno Y, Masuda Y, Hariguchi Y et al (2010) Key factors for depressurization-induced gas production from oceanic methane hydrates. Energy Fuels 24:1736–1744. https://doi.org/10.1021/ef901115h
Konno Y, Masuda Y, Akamine K et al (2016) Sustainable gas production from methane hydrate reservoirs by the cyclic depressurization method. Energy Convers Manag 108:439–445. https://doi.org/10.1016/j.enconman.2015.11.030
Kowalsky MB, Moridis GJ (2007) Comparison of kinetic and equilibrium reaction models in simulating gas hydrate behavior in porous media. Energy Convers Manag 48:1850–1863. https://doi.org/10.1016/j.enconman.2007.01.017
Lee J, Ryu B-J, Yun T et al (2011) Review on the gas hydrate development and production as a new energy resource. KSCE J Civ Eng 15:689–696. https://doi.org/10.1007/s12205-011-0009-3
Li G, Moridis GJ, Zhang K, Li X (2011) The use of huff and puff method in a single horizontal well in gas production from marine gas hydrate deposits in the Shenhu Area of South China Sea. J Pet Sci Eng 77:49–68. https://doi.org/10.1016/j.petrol.2011.02.009
Li XS, Yang B, Li G et al (2012a) Experimental study on gas production from methane hydrate in porous media by huff and puff method in pilot-scale hydrate simulator. Fuel 94:486–494. https://doi.org/10.1016/j.fuel.2011.11.011
Li X-S, Yang B, Li G, Li B (2012b) Numerical simulation of gas production from natural gas hydrate using a single horizontal well by depressurization in Qilian Mountain Permafrost. Ind Eng Chem Res 51:4424–4432. https://doi.org/10.1021/ie201940t
Li G, Li X-S, Yang B et al (2013) The use of dual horizontal wells in gas production from hydrate accumulations. Appl Energy 112:1303–1310. https://doi.org/10.1016/j.apenergy.2013.03.057
Li B, Xu T, Zhang G et al (2018) An experimental study on gas production from fracture-filled hydrate by CO2 and CO2/N2 replacement. Energy Convers Manag 165:738–747. https://doi.org/10.1016/j.enconman.2018.03.095
Liang Y, Liu S, Zhao W et al (2018) Effects of vertical center well and side well on hydrate exploitation by depressurization and combination method with wellbore heating. J Nat Gas Sci Eng 55:154–164. https://doi.org/10.1016/j.jngse.2018.04.030
Lu N, Hou J, Liu Y et al (2018) Stage analysis and production evaluation for class III gas hydrate deposit by depressurization. Energy 165:501–511. https://doi.org/10.1016/j.energy.2018.09.184
Majorowicz J, Osadetz K (2001) Gas hydrate distribution and volume in Canada. Am Assoc Pet Geol Bull. https://doi.org/10.1306/8626CA9B-173B-11D7-8645000102C1865D
Malinverno A (2010) Marine gas hydrates in thin sand layers that soak up microbial methane. Earth Planet Sci Lett 292:399–408. https://doi.org/10.1016/j.epsl.2010.02.008
Malinverno A, Goldberg DS (2015) Testing short-range migration of microbial methane as a hydrate formation mechanism: results from Andaman Sea and Kumano Basin drill sites and global implications. Earth Planet Sci Lett 422:105–114. https://doi.org/10.1016/j.epsl.2015.04.019
Marín-Moreno H (2014) Numerical modelling of overpressure generation in deep basins and response of Arctic gas hydrate to ocean warming. University of Southampton
Moridis G, Sloan E (2007) Gas production potential of disperse low-saturation hydrate accumulations in oceanic sediments. Energy Convers Manag 48:1834–1849. https://doi.org/10.1016/j.enconman.2007.01.023
Moridis G, Reagan M (2007) Strategies for Gas Production From Oceanic Class 3 Hydrate Accumulations. offshore Technol Conf. https://doi.org/10.4043/18865-MS
Moridis GJ, Kowalsky MB, Karsten P (2005) HYDRATERESSIM User’s Manual: a numerical simulator for modeling the behavior of hydrates in geologic media
Moridis GJ, Kowalsky MB, Karsten P (2012) TOUGH+HYDRATE v1.2 User’s Manual: a code for the simulation of system behavior in hydrate-bearing geologic media. Berkeley, California
Moridis GJ, Reagan MT, Queiruga AF (2019) Gas Hydrate Production Testing: Design Process and Modeling Results. Offshore Technol Conf 15. https://doi.org/10.4043/29432-MS
Nixon M, Hayley J (2011) Submarine slope failure due to gas hydrate dissociation: a preliminary quantification. Can Geotech J 44:314–325. https://doi.org/10.1139/t06-121
Nole M, Daigle H, Cook AE, Malinverno A (2016) Short-range, overpressure-driven methane migration in coarse-grained gas hydrate reservoirs. Geophys Res Lett 43:9500–9508. https://doi.org/10.1002/2016GL070096
Nole M, Daigle H, Cook AE et al (2017) Linking basin-scale and pore-scale gas hydrate distribution patterns in diffusion-dominated marine hydrate systems. Geochem Geophys Geosyst 18:653–675. https://doi.org/10.1002/2016GC006662
Nole M, Daigle H, Cook AE et al (2018) Burial-driven methane recycling in marine gas hydrate systems. Earth Planet Sci Lett 499:197–204. https://doi.org/10.1016/j.epsl.2018.07.036
Oliveira S, Vilhena O, da Costa E (2010) Time–frequency spectral signature of Pelotas Basin deep water gas hydrates system. Mar Geophys Res 31:89–97. https://doi.org/10.1007/s11001-010-9085-x
Phirani J, Mohanty KK, Hirasaki GJ (2009) Warm water flooding of unconfined gas hydrate reservoirs. Energy Fuels 23:4507–4514. https://doi.org/10.1021/ef900291j
Riley D, Marin-Moreno H, Minshull TA (2019) The effect of heterogeneities in hydrate saturation on gas production from natural systems. J Pet Sci Eng 183:106452. https://doi.org/10.1016/j.petrol.2019.106452
Riley D, Schaafsma M, Marin-Moreno H, Minshull TA (2020) A social, environmental and economic evaluation protocol for potential gas hydrate exploitation projects. Appl Energy 263:114651. https://doi.org/10.1016/j.apenergy.2020.114651
Ruan X, Song Y, Zhao J et al (2012) Numerical simulation of methane production from hydrates induced by different depressurizing approaches. Energies 5:438–458. https://doi.org/10.3390/en5020438
Seol Y, Myshakin E (2011) Experimental and numerical observations of hydrate reformation during depressurization in a core-scale reactor. Energy Fuels 25:1099–1110. https://doi.org/10.1021/ef1014567
Shelander D, Dai J, Bunge G (2010) Predicting saturation of gas hydrates using pre-stack seismic data, Gulf of Mexico. Mar Geophys Res 31:39–57. https://doi.org/10.1007/s11001-010-9087-8
Singh S, Balomajumder C, Arora A (2015) Natural gas hydrate (clathrates) as an untapped resource of natural gas. J Pet Environ Biotechnol 06:4–6. https://doi.org/10.4172/2157-7463.1000234
Sloan ED, Koh CA (2007) Clathrate hydrates of natural gases, 3rd edn. CRC Press, Boca Raton
Song Y, Cheng C, Zhao J et al (2015) Evaluation of gas production from methane hydrates using depressurization, thermal stimulation and combined methods. Appl Energy 145:265–277. https://doi.org/10.1016/j.apenergy.2015.02.040
Su Z, Moridis GJ, Zhang K, Wu N (2012) A huff-and-puff production of gas hydrate deposits in Shenhu area of South China Sea through a vertical well. J Pet Sci Eng 86–87:54–61. https://doi.org/10.1016/j.petrol.2012.03.020
Sun R, Fan Z, Yang M et al (2019) Experimental investigation into the dissociation of methane hydrate near ice-freezing point induced by depressurization and the concomitant metastable phases. J Nat Gas Sci Eng 65:125–134. https://doi.org/10.1016/j.jngse.2019.03.001
Tang LG, Sen LX, Feng ZP et al (2007) Control mechanisms for gas hydrate production by depressurization in different scale hydrate reservoirs. Energy Fuels 21:227–233. https://doi.org/10.1021/ef0601869
Teng Y, Zhang D (2020) Comprehensive study and comparison of equilibrium and kinetic models in simulation of hydrate reaction in porous media. J Comput Phys 404:13298. https://doi.org/10.1016/j.jcp.2019.109094
Terzariol M, Goldsztein G, Santamarina JC (2017) Maximum recoverable gas from hydrate bearing sediments by depressurization. Energy 141:1622–1628. https://doi.org/10.1016/j.energy.2017.11.076
VanderBeek BP, Rempel AW (2018) On the importance of advective versus diffusive transport in controlling the distribution of methane hydrate in heterogeneous marine sediments. J Geophys Res Solid Earth 123:5394–5411. https://doi.org/10.1029/2017JB015298
Waite WF, Ruppel CD, Boze L-G, Lorenson TD, Buczkowski BJ, McMullen KY, Kvenvolden KA (2020) Preliminary global database of known and inferred gas hydrate locations [Data set]. U.S. Geological Survey. https://doi.org/10.5066/P9LLFVJM
Wan Y, Wu N, Hu G et al (2018) Reservoir stability in the process of natural gas hydrate production by depressurization in the shenhu area of the south China sea. Nat Gas Ind B 5:631–643. https://doi.org/10.1016/j.ngib.2018.11.012
Wang J, Wu S, Geng J, Jaiswal P (2018) Acoustic wave attenuation in the gas hydrate-bearing sediments of Well GC955H, Gulf of Mexico. Mar Geophys Res 39:509–522. https://doi.org/10.1007/s11001-017-9336-1
Wilder JW, Moridis GJ, Wilson SJ, Kurihara M, White MD, Masuda Y, Anderson BJ, Collett TS, Hunter RB, Narita H, Pooladi-Darvish M, Rose K, Boswell R (2008) An international effort to compare gas hydrate reservoir simulators. In: Englezos P, Ripmeeser J (eds) Proceedings of the 6th International Conference on Gas Hydrates, Vancouver, Canada, p 12. Paper 5727
Xu CG, Cai J, Yu YS et al (2018) Research on micro-mechanism and efficiency of CH4 exploitation via CH4-CO2 replacement from natural gas hydrates. Fuel 216:255–265. https://doi.org/10.1016/j.fuel.2017.12.022
Yan C, Li Y, Cheng Y et al (2018) Sand production evaluation during gas production from natural gas hydrates. J Nat Gas Sci Eng 57:77–88. https://doi.org/10.1016/j.jngse.2018.07.006
Yang X, Sun CY, Su KH et al (2012) A three-dimensional study on the formation and dissociation of methane hydrate in porous sediment by depressurization. Energy Convers Manag 56:1–7. https://doi.org/10.1016/j.enconman.2011.11.006
Yang R, Su M, Qiao S et al (2015) Migration of methane associated with gas hydrates of the Shenhu Area, northern slope of South China Sea. Mar Geophys Res 36:253–261. https://doi.org/10.1007/s11001-015-9249-9
Yi BY, Lee GH, Kang NK et al (2018) Deterministic estimation of gas-hydrate resource volume in a small area of the Ulleung Basin, East Sea (Japan Sea) from rock physics modeling and pre-stack inversion. Mar Pet Geol 92:597–608. https://doi.org/10.1016/j.marpetgeo.2017.11.023
Yin Z, Chong ZR, Tan HK, Linga P (2016) Review of gas hydrate dissociation kinetic models for energy recovery. J Nat Gas Sci Eng 35:1362–1387. https://doi.org/10.1016/j.jngse.2016.04.050
You K, Flemings PB (2018) Methane hydrate formation in thick sandstones by free gas flow. J Geophys Res Solid Earth 123:4582–4600. https://doi.org/10.1029/2018JB015683
You K, DiCarlo D, Flemings PB (2015) Quantifying hydrate solidification front advancing using method of characteristics. J Geophys Res Solid Earth 120:6681–6697. https://doi.org/10.1002/2015JB011985
Yu T, Guan G, Abudula A et al (2019) Gas recovery enhancement from methane hydrate reservoir in the Nankai Trough using vertical wells. Energy 166:834–844. https://doi.org/10.1016/j.energy.2018.10.155
Yu T, Guan G, Abudula A, Wang D (2020) 3D investigation of the effects of multiple-well systems on methane hydrate production in a low-permeability reservoir. J Nat Gas Sci Eng 76:103213. https://doi.org/10.1016/j.jngse.2020.103213
Yuan Y, Xu T, Xin X, Xia Y (2017) Multiphase flow behavior of layered methane hydrate reservoir induced by gas production. Geofluids. https://doi.org/10.1155/2017/7851031
Zhou M, Soga K, Xu E et al (2014) Numerical study on Eastern Nankai Trough gas hydrate production test. Proc Annu Offshore Technol Conf 2:996–1014. https://doi.org/10.4043/25169-ms
Funding
The funding for this research work was provided by Gas hydrate research and technology centre (Grant No. ONG-1160-CHD).
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Khan, S.H., Kumari, A., Dixit, G. et al. A numerical investigation into gas production under worst case scenario of limited heat transfer. Mar Geophys Res 42, 24 (2021). https://doi.org/10.1007/s11001-021-09445-x
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11001-021-09445-x