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Saltwater intrusion modeling in heterogeneous confined aquifers using two-relaxation-time lattice Boltzmann method |
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| Authors: | Borja Servan-Camas Frank T-C Tsai |
| Institution: | 1. International Center for Numerical Methods in Engineering, Universidad Politecnica de Cataluña, Gran Capitan s/n, 08034 Barcelona, Spain;2. Department of Civil and Environmental Engineering, Louisiana State University, 3148G Patrick F. Taylor Hall, Baton Rouge, LA 70803-6405, United States |
| Abstract: | This study develops a lattice Boltzmann method (LBM) with a two-relaxation-time collision operator (LTRT) to solve saltwater intrusion problems. A directional-speed-of-sound (DSS) technique is introduced to take into account the hydraulic conductivity heterogeneity and discontinuity, as well as the velocity-dependent dispersion coefficient. The forcing terms in the LTRT model are customized in order to recover the density-dependent groundwater flow and mass transport equations. Using the LTRT with the squared DSS achieves at least second-order accuracy. The LTRT results are verified with Henry’s analytical solution as well as compared with several numerical examples and modified Henry problems that consider heterogeneous hydraulic conductivity and velocity-dependent dispersion. The numerical results show good agreement with the Henry analytical solution and with the numerical solutions obtained by other numerical methods. |
| Keywords: | Lattice Boltzmann method Two-relaxation times Saltwater intrusion Henry problem Density-dependent Advection&ndash dispersion equation Heterogeneity |
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