Numerical Simulation of Dufour and Soret Effects on Heat and Mass Transfer in Double-diffusive Convection in Methane Hydrate Reservoirs

Document Type : Research Paper

Authors
1 School of Environmental Science and Engineering, Guangdong University of Technology, Guangzhou, 510006, China
2 School of Ecology, Environment and Resources, Guangdong University of Technology, Guangzhou, 510006, China
3 Research Centre of Ecology & Environment for Coastal Area and Deep Sea, Guangdong University of Technology, Guangzhou, 510006, China
Abstract
In this paper, the behavior of methane-containing fluids in methane hydrate reservoirs is numerically simulated by investigating the transient thermal solute convection with the Dufour and Soret effects. A three-dimensional mathematical model is constructed by coupling the diffusion terms for the effects of temperature and concentration gradients, taking into account both the extended Darcy model and the thermal non-equilibrium model. The effects of different buoyancy ratios (N), Dufour factors (Du) and Soret factors (Sr), as well as porosity gradients, on double-diffusive convection in porous media are explored. The numerical results show that as N increases, the centrosymmetric flow structure is gradually destroyed. When the Du number is larger, the Sh number is inversely proportional to the Sr number, which may be due to the fact that the Dufour effect is more significant compared with the Soret effect. The smaller the porosity gradient, the concentration gradient decreases. As the pore spacing decreases, the Nu number and Sh number decrease by 6.74% and 8.51%, respectively.
Keywords
Subjects

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[1] Qin, Y., Shang, L., Lv, Z., He, J., Yang, X., Zhang, Z., Methane hydrate formation in porous media: Overview and perspectives, Journal of Energy Chemistry, 74, 2022, 454–480.
[2] Ruffine, L., Tang, A.M., O’Neill, N., Toffin, L., Paris, J.-D., Yang, J., Georgiev, V., Fietzek, P., Giustiniani, M., Tinivella, U., Environmental challenges related to methane hydrate decomposition from climate change scenario and anthropic activities: State of the art, potential consequences and monitoring solutions, Earth-Science Reviews, 246, 2023, 104578.
[3] Chibura, P.E., Zhang, W., Luo, A., Wang, J., A review on gas hydrate production feasibility for permafrost and marine hydrates, Journal of Natural Gas Science and Engineering, 100, 2022, 104441.
[4] Liao, Y., Sun, X., Sun, B., Gao, Y., Wang, Z., Transient gas–liquid–solid flow model with heat and mass transfer for hydrate reservoir drilling, International Journal of Heat and Mass Transfer, 141, 2019, 476–486.
[5] Liao, Y., Wang, Z., Chao, M., Sun, X., Wang, J., Zhou, B., Sun, B., Coupled wellbore–reservoir heat and mass transfer model for horizontal drilling through hydrate reservoir and application in wellbore stability analysis, Journal of Natural Gas Science and Engineering, 95, 2021, 104216.
[6] Tian, M., Song, Y., Zheng, J., Gong, G., Yang, M., Effects of temperature gradient on methane hydrate formation and dissociation processes and sediment heat transfer characteristics, Energy, 261, 2022, 125220.
[7] Yang, M., Dong, S., Zhao, J., Zheng, J., Liu, Z., Song, Y., Ice behaviors and heat transfer characteristics during the isothermal production process of methane hydrate reservoirs by depressurization, Energy, 232, 2021, 121030.
[8] Yu, P.-Y., Sean, W.-Y., Yeh, R.-Y., Chiang Hsieh, L.-H., Hsu, R.-Q., Sato, T., Direct numerical simulation of methane hydrate dissociation in pore-scale flow by using CFD method, International Journal of Heat and Mass Transfer, 113, 2017, 176–183.
[9] Yang, J., Dai, X., Xu, Q., Liu, Z., Zan, C., Long, W., Shi, L., Pore-scale study of multicomponent multiphase heat and mass transfer mechanism during methane hydrate dissociation process, Chemical Engineering Journal, 423, 2021, 130206.
[10] Yang, J., Xu, Q., Liu, Z., Shi, L., Pore-scale study of the multiphase methane hydrate dissociation dynamics and mechanisms in the sediment, Chemical Engineering Journal, 430, 2022, 132786.
[11] Zhao, Z., Shou, Y.-D., Zhou, X.-P., Digital assessment of phase changes and heat transfer for hydrates in microstructures using X-ray CT imaging, Geoenergy Science and Engineering, 229, 2023, 212084.
[12] Cao, X., Yang, K., Wang, H., Bian, J., Modelling of hydrate dissociation in multiphase flow considering particle behaviors, mass and heat transfer, Fuel, 306, 2021, 121655.
[13] Song, R., Liu, J., Yang, C., Sun, S., Study on the multiphase heat and mass transfer mechanism in the dissociation of methane hydrate in reconstructed real-shape porous sediments, Energy, 254, 2022, 124421.
[14] Zhang, C.-N., Fang, E.-H., Zheng, L.-Y., Zhu, L., Zhao, B.-X., Effect of inclination angle on double-diffusive convection in an inclined cavity, International Journal of Heat and Fluid Flow, 110, 2024, 109627.
[15] Dev, K., Suthar, O.P., Double-diffusive convection in a porous layer subjected to an inclined temperature gradient incorporating Soret effect, International Journal of Non-Linear Mechanics, 158, 2024, 104581.
[16] Feng, Y., Wang, C., Lattice Boltzmann study on magnetohydrodynamic double-diffusive convection in Fe3O4–H2O nanofluid-filled porous mediaLattice Boltzmann, Case Studies in Thermal Engineering, 58, 2024, 104405.
[17] Kouki, M., Pasha, A.A., Islam, N., Alzahrani, Y.S., Nayak, M.K., Analysis of thermal performance and irreversibility of double-diffusive buoyancy-driven nano-suspension subject to local thermal non-equilibrium model, Case Studies in Thermal Engineering, 63, 2024, 105294.
[18] Taloub, D., Bouras, A., Chamkha, A.J., Djezzar, M., Numerical simulation of the natural double-diffusive convection in an elliptical cylinder -Impact of the buoyancy force-, International Communications in Heat and Mass Transfer, 144, 2023, 106790.
[19] Bejan, A., Entropy generation minimization: The new thermodynamics of finite-size devices and finite-time processes, Journal of Applied Physics, 79, 1996, 1191–1218.
[20] Zhuang, Y.J., Zhu, Q.Y., Analysis of entropy generation in combined buoyancy-Marangoni convection of power-law nanofluids in 3D heterogeneous porous media, International Journal of Heat and Mass Transfer, 118, 2018, 686–707.
[21] Kefayati, GH.R., Simulation of double diffusive natural convection and entropy generation of power-law fluids in an inclined porous cavity with Soret and Dufour effects, Part I: Study of fluid flow, heat and mass transfer, International Journal of Heat and Mass Transfer, 94, 2016, 539–581.
[22] Nield, D.A., Bejan, A., Convection in Porous Media, Springer International Publishing, Cham, 2017.
[23] Astanina, M.S., Sheremet, M.A., Numerical study of natural convection of fluid with temperature-dependent viscosity inside a porous cube under non-uniform heating using local thermal non-equilibrium approach, International Journal of Thermofluids, 17, 2023, 100266.
[24] Pati, S., Borah, A., Boruah, M.P., Randive, P.R., Critical review on local thermal equilibrium and local thermal non-equilibrium approaches for the analysis of forced convective flow through porous media, International Communications in Heat and Mass Transfer, 132, 2022, 105889.
[25] Sharifi, M., Rasouli, N., A comprehensive review of double diffusive convection, Effects of flow geometries, external forces, and porous media, International Communications in Heat and Mass Transfer, 160, 2025, 108380.
[26] Srinivasacharya, D., Humnekar, N., The stability of double-diffusive convection in an inclined porous channel saturated with nanofluid and influenced by a magnetic field, Propulsion and Power Research, 14, 2025, 148–159.
[27] Wang, J., Yang, M., Zhang, Y., Onset of double-diffusive convection in horizontal cavity with Soret and Dufour effects, International Journal of Heat and Mass Transfer, 78, 2014, 1023–1031.
[28] Wang, J., Yang, M., He, Y.-L., Zhang, Y., Oscillatory double-diffusive convection in a horizontal cavity with Soret and Dufour effects, International Journal of Thermal Sciences, 106, 2016, 57–69.
[29] Li, N., Gao, P., Zhang, C., Soret and Dufour effects on double-diffusive convection in a salinity gradient solar pond, Solar Energy, 246, 2022, 66–73.
[30] Zhang, L., Wang, Z., Lu, W., Li, Y., Thermally-induced diffusion on methane mass transfer in high-pressure aqueous solutions, International Journal of Heat and Mass Transfer, 206, 2023, 123951.
[31] Akaki, T., Kimoto, S., Numerical modelling of internal erosion during hydrate dissociation based on multiphase mixture theory, International Journal for Numerical and Analytical Methods in Geomechanics, 44, 2020, 327–350.
[32] Zhuang, Y., Liu, Z., Xu, W., Effects of gradient porous metal foam on the melting performance and energy storage of composite phase change materials subjected to an internal heater: A numerical study and PIV experimental validation, International Journal of Heat and Mass Transfer, 183, 2022, 122081.
[33] Jamil, F., Ali, H.M., Khiadani, M., Concise summary of existing correlations with thermophysical properties of seawater with applications: A recent review, Applied Thermal Engineering, 227, 2023, 120404.
[34] Guerra, A., McElligott, A., Du, C.Y., Maric, M., Rey, A.D., Servio, P., Dynamic viscosity of methane and carbon dioxide hydrate systems from pure water at high-pressure driving forces, Chemical Engineering Science, 252, 2022, 117282.
[35] Romeo, R., Giuliano Albo, P.A., Lago, S., Density and derived properties of standard seawater up to high pressure in stable and metastable states, Deep Sea Research Part I: Oceanographic Research Papers, 177, 2021, 103624.
[36] Guo, H., Chen, Y., Lu, W., Li, L., Wang, M., In situ Raman spectroscopic study of diffusion coefficients of methane in liquid water under high pressure and wide temperatures, Fluid Phase Equilibria, 360, 2013, 274–278.
[37] Yan, C., Dong, L., Ren, X., Cheng, Y., Stability of submarine slopes during replacement of methane in natural gas hydrates with carbon dioxide, Journal of Cleaner Production, 383, 2023, 135440.
[38] Xu, H., Luo, Z., Lou, Q., Zhang, S., Wang, J., Lattice Boltzmann simulations of the double-diffusive natural convection and oscillation characteristics in an enclosure with Soret and Dufour effects, International Journal of Thermal Sciences, 136, 2019, 159–171.
[39] Zhuang, Y.J., Yu, H.Z., Zhu, Q.Y., A thermal non-equilibrium model for 3D double diffusive convection of power-law fluids with chemical reaction in the porous medium, International Journal of Heat and Mass Transfer, 115, 2017, 670–694.
[40] Hasnaoui, S., Amahmid, A., Raji, A., El Mansouri, A., Dahani, Y., Hasnaoui, M., Beji, H., Combined effects of thermo-diffusion, diffusion-thermo and internal heat generation on the stabilization/destabilization of the flow in a cavity differentially heated and salted, Numerical Heat Transfer, Part A: Applications, 85, 2024, 92–113.
[41] Said, K., Ouadha, A., Sabeur, A., Turbulent double-diffusive convection and implementation of entropy production rate due to the mean and the fluctuating flow field, International Communications in Heat and Mass Transfer, 139, 2022, 106462.
[42] Samantaray, S.S., Misra, A., Shaw, S., Nayak, M.K., Nazari, S., Boukhris, I., Chamkha, A.J., Recent advances on entropy analysis of composite nanofluids-A critical review, Results in Engineering, 22, 2024, 101980.
[43] Lam, P.A.K., Arul Prakash, K., A numerical study on natural convection and entropy generation in a porous enclosure with heat sources, International Journal of Heat and Mass Transfer, 69, 2014, 390–407.
[44] Ghachem, K., Kolsi, L., Mâatki, C., Hussein, A.K., Borjini, M.N., Numerical simulation of three-dimensional double diffusive free convection flow and irreversibility studies in a solar distiller, International Communications in Heat and Mass Transfer, 39, 2012, 869–876.
[45] Bera, P., Pippal, S., Sharma, A.K., A thermal non-equilibrium approach on double-diffusive natural convection in a square porous-medium cavity, International Journal of Heat and Mass Transfer, 78, 2014, 1080–1094.
[46] Khadiri, A., Amahmid, A., Hasnaoui, M., Rtibi, A., Soret Effect on Double-Diffusive Convection in a Square Porous Cavity Heated and Salted from Below, Numerical Heat Transfer, Part A: Applications, 57, 2010, 848–868.
[47] Mansour, A., Amahmid, A., Hasnaoui, M., Bourich, M., Multiplicity of Solutions Induced by Thermosolutal Convection in a Square Porous Cavity Heated from Below and Submitted to Horizontal Concentration Gradient in the Presence of Soret Effect, Numerical Heat Transfer, Part A: Applications, 49, 2006, 69–94.