4.7 Article

Hertz-Mindlin Theory of Contacting Grains and the Effective-Medium Approximation for the Permeability of Deforming Porous Media

Journal

GEOPHYSICAL RESEARCH LETTERS
Volume 46, Issue 14, Pages 8039-8045

Publisher

AMER GEOPHYSICAL UNION
DOI: 10.1029/2019GL083727

Keywords

deformation; porous media; effective-medium approximation; permeability

Funding

  1. Chevron Oil Company
  2. Petroleum Research Fund

Ask authors/readers for more resources

Estimating flow and transport properties of porous media that undergo deformation as a result of applying an external pressure or stress is important to a wide variety of processes, ranging from shale formations into which a fracking liquid is injected to CO2 sequestration in geological formations. We propose a novel model for estimating the effective permeability of such porous media. Given the pore-size distribution (PSD) of a porous medium before deformation, as well as the Young's modulus of its grains, the model uses Hertz-Mindlin theory of contact between grains to compute the new PSD that results from applying an external pressure P to the medium and utilizes the updated PSD in the effective-medium approximation to estimate the effective permeability at P. Comparison between the predictions and experimental data for several types of sandstones indicates excellent agreement between the two.

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.7
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

Article Water Resources

Fast simulation of two-phase flow in three-dimensional digital images of heterogeneous porous media using multiresolution curvelet transformation

Abdullah Aljasmi, Muhammad Sahimi

Summary: Advances in instrumentation have enabled high-resolution imaging of heterogeneous porous media, leading to the feasibility of direct numerical simulation of multiphase flow in two- and three-dimensional images. A bottleneck for image-based simulation is the lengthy computation time, which a new approach aims to overcome by utilizing curvelet transformations for denoising and faster computation. The proposed method demonstrates significant speedup in computational efficiency while maintaining accuracy in simulating multiphase flow in porous media.

ADVANCES IN WATER RESOURCES (2021)

Article Geosciences, Multidisciplinary

Estimating Dispersion Coefficient in Flow Through Heterogeneous Porous Media by a Deep Convolutional Neural Network

Serveh Kamrava, Jinwoo Im, Felipe P. J. de Barros, Muhammad Sahimi

Summary: The combination of deep convolutional neural network (DCNN) and random-walk particle-tracking (RWPT) simulation provides a powerful tool for rapidly and accurately estimating the longitudinal dispersion coefficient DL in flow through porous media, allowing for the study of flow-related phenomena and properties in geological formations.

GEOPHYSICAL RESEARCH LETTERS (2021)

Article Engineering, Petroleum

Rock Typing Based on Wetting-Phase Relative Permeability Data and Critical Pore Sizes

Brandon A. Yokeley, Behzad Ghanbarian, Muhammad Sahimi

Summary: In this study, a new rock typing method based on two-phase flow data was proposed, classifying rocks based on their similarities in the critical pore radius at the same effective water saturation. By converting S-w - k(rw) plots to S-e - r(c) curves and applying a curve clustering method, similar rocks were identified.

SPE JOURNAL (2021)

Article Engineering, Chemical

Flow and Transport Properties of Deforming Porous Media. I. Permeability

Samuel Richesson, Muhammad Sahimi

Summary: This study presents a novel model for estimating the flow and transport properties of porous media under external pressure, utilizing elastic deformation and particle contact theory. The model accurately predicts the effective permeability of different types of sandstones under varying pressure levels, demonstrating excellent agreement with experimental data.

TRANSPORT IN POROUS MEDIA (2021)

Article Engineering, Chemical

Flow and Transport Properties of Deforming Porous Media. II. Electrical Conductivity

Samuel Richesson, Muhammad Sahimi

Summary: This paper introduces a theoretical approach to compute the effective permeability and electrical conductivity of porous media under pressure deformation, and validates the method's effectiveness through experimental data comparison.

TRANSPORT IN POROUS MEDIA (2021)

Article Engineering, Chemical

A personal perspective on prediction of saline water evaporation from porous media

Salome M. S. Shokri-Kuehni, Muhammad Sahimi, Nima Shokri

Summary: This paper summarizes the open challenges regarding saline water evaporation from porous media, focusing on the formation of crystallized porous salt layers during drying and their impact on water losses. Suggestions for future research directions in predicting saline water evaporation from porous media are also provided.

DRYING TECHNOLOGY (2022)

Article Mechanics

Enhanced thermal fingering in a shear-thinning fluid flow through porous media: Dynamic pore network modeling

Senyou An, Muhammad Sahimi, Takshak Shende, Masoud Babaei, Vahid Niasar

Summary: In this paper, a pore network model is proposed to simulate thermal transport in flow through three-dimensional unstructured pore networks. The study investigates the effects of pore space heterogeneity, injection flow rate, and shear-thinning rheology on thermal-viscous fingering instability in porous media. The results highlight the importance of designing optimal flow conditions for application purposes.

PHYSICS OF FLUIDS (2022)

Article Engineering, Chemical

Universal Frequency-Dependent Permeability of Heterogeneous Porous Media: Effective-Medium Approximation and Critical-Path Analysis

Muhammad Sahimi

Summary: Experiments, simulations, and models have shown that the dynamic permeability of porous media can be described by a universal function of the rescaled frequency, regardless of the morphology. Two approaches, the dynamic effective-medium approximation and critical-path analysis, both support the universality of the rescaled dynamic permeability in heterogeneous porous media. This has important implications for the electrical conductivity, formation factor, and diffusion coefficients of porous media.

TRANSPORT IN POROUS MEDIA (2022)

Article Chemistry, Physical

Friction versus flow enhancement in nanotube structures with heterojunctions

Nasrin Torabi, Fatemeh Ebrahimi, G. R. Maktabdaran, Muhammad Sahimi

Summary: This article investigates the impact of nano-junctions on the rate of water transport in a nanostructured system. It reveals that the wall-water friction coefficient increases dramatically with roughness, but water flow in relatively complex nanochannels is still significantly enhanced.

JOURNAL OF MOLECULAR LIQUIDS (2022)

Review Engineering, Chemical

The Potential of Quantum Computing for Geoscience

Muhammad Sahimi, Pejman Tahmasebi

Summary: This article discusses the development of quantum computer algorithms and their potential applications in geoscience. Despite the challenges that still need to be overcome, there are already intermediate-scale quantum computers available for various problems.

TRANSPORT IN POROUS MEDIA (2022)

Article Environmental Sciences

Upscaling Hydrodynamic Dispersion in Non-Newtonian Fluid Flow Through Porous Media

Senyou An, Muhammad Sahimi, Vahid Niasar

Summary: Hydrodynamic dispersion in flow through porous media is an essential phenomenon in many geosystems. However, limited studies have focused on dispersion in flow of non-Newtonian fluids. This study used pore-scale simulations to investigate the effects of rheology and flow dynamics on hydrodynamic dispersion. Surprisingly, the simulations revealed a non-monotonic relationship between injection rate and dispersivity, highlighting the need for improved theories of transport in porous materials for non-Newtonian fluids.

WATER RESOURCES RESEARCH (2022)

Article Engineering, Chemical

Effect of Wettability on Two-Phase Flow Through Granular Porous Media: Fluid Rupture and Mechanics of the Media

Mehryar Amir Hosseini, Serveh Kamrava, Muhammad Sahimi, Pejman Tahmasebi

Summary: The wettability of porous media significantly impacts the spatial distribution of fluid phases. Computer simulations show that contact angle affects particle dynamics, fluid velocity, and rupture in the pore space. Additionally, increasing contact angle reduces inter-particle interactions and increases drag force, leading to larger particle displacement.

CHEMICAL ENGINEERING SCIENCE (2023)

Article Physics, Fluids & Plasmas

Data-driven discovery of the governing equations for transport in heterogeneous media by symbolic regression and stochastic optimization

Jinwoo Im, Felipe P. J. de Barros, Sami Masri, Muhammad Sahimi, Robert M. Ziff

Summary: With advancements in instrumentation and computational power, we now have access to large amounts of data for complex phenomena in macroscopically heterogeneous media. The traditional method of averaging equations over heterogeneity is no longer valid, leading to an open question of discovering governing equations for flow and transport processes. In this study, a data-driven approach using stochastic optimization and symbolic regression is proposed to discover these equations, which can be based on experimental data or microscopic simulation. As an example, the equation for anomalous diffusion on the critical percolation cluster is discovered and found to agree with previous proposals.

PHYSICAL REVIEW E (2023)

Retraction Physics, Fluids & Plasmas

撤稿声明: Phase transitions, percolation, fracture of materials, and deep learning (Retraction of Vol 102, art no 011001, 2020)

Serveh Kamrava, Pejman Tahmasebi, Muhammad Sahimi, Sepehr Arbabi

PHYSICAL REVIEW E (2021)

Article Physics, Fluids & Plasmas

Elastic moduli of body-centered cubic lattice near rigidity percolation threshold: Finite-size effects and evidence for first-order phase transition

Sepehr Arbabi, Muhammad Sahimi

Summary: Extensive simulations of rigidity percolation in large body-centered cubic (bcc) lattices show that topological properties and elastic moduli may undergo a first-order phase transition at a critical point p(ce). This transition is characterized by a stairwise behavior of elastic moduli and the formation of compact, non-fractal clusters as the lattice size increases, indicating a departure from second-order phase transitions typically associated with scale-invariant clusters.

PHYSICAL REVIEW E (2021)

No Data Available