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Geo-materials such as vuggy carbonates are known to exhibit multiple spatial scales. A common manifestation of spatial scales is the presence of (at least) two different scales of pores, which is commonly referred to as double porosity. To…

Fluid Dynamics · Physics 2018-03-07 K. B. Nakshatrala , S. H. S. Joodat , R. Ballarini

We introduce a Darcy-scale model to describe compressible multi-component flow in a fully saturated porous medium. In order to capture cross-diffusive effects between the different species correctly, we make use of the Maxwell--Stefan…

Analysis of PDEs · Mathematics 2020-12-02 Lukas Ostrowski , Christian Rohde

This paper reviews theories, experimental data, and modeling methods for pre-Darcy flow in low-permeability porous media, where Darcy velocity shows nonlinear dependence on pressure gradients at sufficiently low pressures, a deviation from…

Geophysics · Physics 2024-01-11 Yuntian Teng , Zihao Li , Cheng Chen

Pore-network modeling is a widely used predictive tool for pore-scale studies in various applications that deal with multiphase flow in porous media. Despite recent improvements to enable pore-network modeling on simplified pore geometry…

Computational Physics · Physics 2020-04-06 Amir H. Kohanpur , Albert J. Valocchi

The correct choice of interface conditions and effective parameters for coupled macroscale free-flow and porous-medium models is crucial for a complete mathematical description of the problem under consideration and for accurate numerical…

Numerical Analysis · Mathematics 2019-06-27 Iryna Rybak , Christoph Schwarzmeier , Elissa Eggenweiler , Ulrich Rüde

Fractured porous media or double porosity media are common in nature. At the same time, accurate modeling remains a significant challenge due to bi-modal pore size distribution, anisotropy, multi-field coupling, and various flow patterns.…

Geophysics · Physics 2024-06-13 Qi Zhang , Xia Yan , Jianli Shao

Flow and transport in fractured geological media are strongly controlled by aperture heterogeneity and uncertainty in subsurface characterisation, yet most upscaling approaches rely on deterministic representations of fracture permeability.…

Computational Physics · Physics 2026-04-20 Sarah Perez , Florian Doster , Hannah Menke , Ahmed ElSheikh , Andreas Busch

We present in detail a set of algorithms to carry out fluid displacements in a dynamic pore-network model of immiscible two-phase flow in porous media. The algorithms are general and applicable to regular and irregular pore networks in two…

Fluid Dynamics · Physics 2019-07-31 Santanu Sinha , Magnus Aa. Gjennestad , Morten Vassvik , Alex Hansen

This study refutes the premise that the distribution of flow speeds in complex porous media can be described by a simple function such as a normal or exponential variation. In many complex porous media, including those relevant for…

Fluid Dynamics · Physics 2018-08-21 Branko Bijeljic , Ali Q. Raeini , Qingyang Lin , Martin J. Blunt

In this paper we present the two-level homogenization of the flow in a deformable double-porous structure described at two characteristic scales. The higher level porosity associated with the mesoscopic structure is constituted by channels…

Computational Physics · Physics 2020-06-30 Eduard Rohan , Jana Turjanicová , Vladimír Lukeš

A multiporosity extension of classical double and triple porosity fractured rock flow models for slightly compressible fluids is presented. The multiporosity model is an adaptation of the multirate solute transport model of Haggerty and…

Geophysics · Physics 2016-07-20 Kristopher L. Kuhlman , Bwalya Malama , Jason E. Heath

X-ray micro-computed tomography (X-ray micro-CT) is widely employed to investigate flow phenomena in porous media, providing a powerful alternative to core-scale experiments for estimating traditional petrophysical properties such as…

The viscous flow of two immiscible fluids in a porous medium on the Darcy scale is governed by a system of nonlinear parabolic equations. If infinite mobility of one phase can be assumed (e.g. in soil layers in contact with the atmosphere)…

Numerical Analysis · Mathematics 2021-06-29 David Seus , Florin A. Radu , Christian Rohde

Porous media are ubiquitous in energy storage and conversion, catalysis, biomechanics, hydrogeology, as well as many other fields. These materials possess high surface-to-volume ratios and their complex channels can restrict and guide the…

The modeling of flow and heat transfer in porous media systems have always been a challenge and, the extended Darcy transport models for flow and equilibrium and non-equilibrium energy models for heat transfer are being used for macro-level…

Fluid Dynamics · Physics 2022-05-10 Surendra Singh Rathore , Balkrishna Mehta , Pradeep Kumar , Mohammad Asfer

A new and fast Matlab algorithm for predicting absolute permeability is presented. The developed tool relies on measuring the connectivity of pores in a given three-dimensional (3D) micro-CT rock image. An index of pore connectivity is…

Geophysics · Physics 2019-05-28 H. Sun , H. Al-Marzouqi , S. Vega

This study presents a phase field model for brittle fracture in fluid-infiltrating vuggy porous media. While the state-of-the-art in hydraulic phase field fracture considers Darcian fracture flow with enhanced permeability along the crack,…

Fluid Dynamics · Physics 2020-08-28 Hyoung Suk Suh , WaiChing Sun

The interconnectivity of the porous space is an important characteristic in the study of porous media and their transport properties. Hence we propose a way to quantify it and relate it with the intrinsic permeability of rocks. We propose a…

In recent years, convolutional neural networks (CNNs) have experienced an increasing interest in their ability to perform a fast approximation of effective hydrodynamic parameters in porous media research and applications. This paper…

Machine Learning · Computer Science 2022-04-14 Stephan Gärttner , Faruk O. Alpak , Andreas Meier , Nadja Ray , Florian Frank

A Darcy-Cahn-Hilliard model coupled with damage is developed to describe multiphase-flow and fluid-driven fracturing in porous media. The model is motivated by recent experimental observations in Hele-Shaw cells of the fluid-driven…

Fluid Dynamics · Physics 2023-06-30 Alexandre Guével , Yue Meng , Christian Peco , Ruben Juanes , John E. Dolbow