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Solute transport prediction in heterogeneous porous media using random walks and machine learning
Solute transport processes in heterogeneous porous media have been traditionally studied through the parameterization of macroscale properties using...
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Characterization of Porous Media and Materials
One of the earliest and most fruitful applications of percolation theory has been to the problems involving porous materials and media. This is not...
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Simulation of Propagation of Dynamic Perturbations in Porous Media by the Grid-Characteristic Method with Explicit Description of Heterogeneities
AbstractWave perturbations propagating through heterogeneous media with porous inclusions are numerically simulated, and an explicit description of...
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Modeling single-phase fluid flow in porous media through non-local fractal continuum equation
Modeling fluid flow in highly heterogeneous porous media is an open research topic due to the degree of complexities and uncertainties attributable...
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Evaluation of Absolute Permeability in Heterogeneous and Anisotropic Porous Media Using the Lattice Boltzmann Simulations
AbstractThis paper presents a systematical study of the effect of porosity, pore-level heterogeneity and anisotropy on the absolute permeability of...
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The effects of heterogeneity on solute transport in porous media: anomalous dispersion
Mixing of solute in sub-surface flows, for example in the leakage of contaminants into groundwater, is quantified by a dispersion coefficient that...
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Multiphase Fluid Flow in Porous Media
Two- and three-phase flows in porous media and materials constitute a set of important phenomena that occur in a wide variety contexts, from enhanced...
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Characterization of synthetic porous media images by using fractal and multifractal analysis
Fractal and multifractal analysis of porous images allow the description of porous media through a scale-invariant understanding. There have been...
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Mixing and Dispersion in Flow Through Porous Media
In Chap. 7, we described and discussed flow and transport processes in porous media that involve only one fluid and one fluid phase. In the present...
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Optimal Lumped Control of Moisture Transfer in Porous Media
The authors propose an algorithm for finding the optimal source capacity for the two-dimensional quasi-linear Richards equation in a rectangular...
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High-Performance Methods of Modeling the Adsorption with Feedback in Heterogeneous Multicomponent Nanoporous Media
The authors developed new high-performance analytical methods for modeling diffused gas concentration fields in intra- and interparticle spaces in...
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High-Performance Methods of Modeling the Nano-Adsorption and Diffusion with Feedback in Heterogeneous Cylindrical Multicomponent Nanoporous Media
New high-performance analytical methods are developed for modeling the concentration fields of diffused gases in intra- and interparticle spaces in...
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Numerical analysis for two-phase flow with non-equilibrium capillary pressure in anisotropic porous media
In this paper, we are concerned with the convergence analysis of a combined finite volume-non-conforming finite element scheme, to approximate the...
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Definitely not a circle: on the variability of the zone of influence in porous media flows
When fluid motion is induced through a porous medium, the distance travelled depends on the energy exerted and overall resistance to flow. Ostensibly...
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Optimal Switching Time Control Constrained by Immiscible Two-Phase Porous Media Flow Based on the Discontinuous Galerkin Method
This paper presents a gradient-based approach for solving a switching time control problem under the two-phase porous media flow within petroleum...
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High-Order Bound-Preserving Local Discontinuous Galerkin Methods for Incompressible and Immiscible Two-Phase Flows in Porous Media
In this paper, we develop high-order bound-preserving (BP) local discontinuous Galerkin methods for incompressible and immiscible two-phase flows in...
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Second-Order Decoupled Linear Energy-Law Preserving gPAV Numerical Schemes for Two-Phase Flows in Superposed Free Flow and Porous Media
We propose second-order numerical methods based on the generalized positive auxiliary variable (gPAV) framework for solving the...
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Flow and Transport Properties of Porous Materials
As Chaps. 4 – 6 should have made it clear, one of the most...
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Sharp Pressure Estimates for the Navier–Stokes System in Thin Porous Media
A relevant problem for applications is to model the behavior of Newtonian fluids through thin porous media, which is a domain with small thickness
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Iterative Methods with Nonconforming Time Grids for Nonlinear Flow Problems in Porous Media
Partially saturated flow in a porous medium is typically modeled by the Richards equation, which is nonlinear, parabolic and possibly degenerated....
