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Article
Study of the Effect of Thermal Dispersion on Internal Natural Convection in Porous Media Using Fourier Series
Natural convection in a porous enclosure in the presence of thermal dispersion is investigated. The Fourier–Galerkin (FG) spectral element method is adapted to solve the coupled equations of Darcy’s flow and h...
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Article
Analytical solution and Bayesian inference for interference pum** tests in fractal dual-porosity media
A new analytical solution is developed for interference hydraulic pum** tests in fractal fractured porous media using the dual-porosity concept. Heterogeneous fractured reservoirs are considered with hydrody...
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Article
Dimensionality reduction for efficient Bayesian estimation of groundwater flow in strongly heterogeneous aquifers
We focus on the Bayesian estimation of strongly heterogeneous transmissivity fields conditional on data sampled at a set of locations in an aquifer. Log-transmissivity, Y, is modeled as a stochastic Gaussian proc...
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Article
Extension of the Henry semi-analytical solution for saltwater intrusion in stratified domains
The Henry semi-analytical solution is developed for stratified aquifers with exponential and Gaussian permeability–depth relationships and small dispersion. The semi-analytical solution is sought by expanding ...
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Article
A new benchmark with high accurate solution for hot–cold fluids mixing
A new benchmark is proposed for the verification of buoyancy-driven flow codes. The benchmark deals with mixing hot and cold fluids from the opposite boundaries of an open channel. A high accurate solution is ...
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Article
A semi-analytical solution for saltwater intrusion with a very narrow transition zone
The Henry saltwater intrusion problem provides a semi-analytical solution that is largely used for benchmarking density-dependent groundwater flow models. The major drawback of this problem arises from the hig...
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Article
An XFEM model for cracked porous media: effects of fluid flow and heat transfer
In this work, a numerical model is developed to investigate the influence of fluid flow and heat transfer on the thermo-mechanical response of a cracked porous media. The fluid flow, governed by the Darcy’s la...
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Article
A Semi-Analytical Solution for the Reactive Henry Saltwater Intrusion Problem
Because of the existence of a semi-analytical solution, the Henry saltwater intrusion problem has been widely used for benchmarking non-reactive density-driven flow models. In this work, we extend the semi-ana...
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Article
Effects of tectonic structures, salt solution mining, and density-driven groundwater hydraulics on evaporite dissolution (Switzerland)
Subsurface dissolution (subrosion) of evaporites such as halite and gypsum can lead to extensive land subsidence. Recent land subsidences have been surveyed at six separate locations in northwestern Switzerlan...
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Article
An Efficient Implementation of the Method of Lines for Multicomponent Reactive Transport Equations
Modeling reactive transport with chemical equilibrium reactions requires solution of coupled partial differential and algebraic equations. In this work, two formulations are developed to combine the method of ...
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Article
Computational issues of hybrid and multipoint mixed methods for groundwater flow in anisotropic media
In this work, lowest-order Raviart–Thomas and Brezzi–Douglas–Marini mixed methods are considered for groundwater flow simulations. Typically, mixed methods lead to a saddle-point problem, which is expensive to...
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Article
On the Efficiency of the Direct Substitution Approach for Reactive Transport Problems in Porous Media
Nonlinear reactive transport problems can be solved using the Operator Splitting (OS) approach, where transport and reaction processes are separated or the Direct Substitution Approach (DSA) where chemical and...
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Article
A Moving Grid Eulerian Lagrangian Localized Adjoint Method for Solving One-Dimensional Nonlinear Advection-Diffusion-Reaction Equations
We develop a moving grid Eulerian-Lagrangian Localized Adjoint Method (ELLAM) to solve the one-dimensional nonlinear Advective-Dispersive-Reactive Equation (ADRE) that governs contaminant transfer with biologi...