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In this paper, we study porous media flows in heterogeneous stochastic media. We propose an efficient forward simulation technique that is tailored for variational Bayesian inversion. As a starting point, the proposed forward simulation…

Applications · Statistics 2018-02-12 Keren Yang , Nilabja Guha , Yalchin Efendiev , Bani K. Mallick

In this work, we propose a parameter estimation framework for fracture propagation problems. The fracture problem is described by a phase-field method. Parameter estimation is realized with a Bayesian framework. Here, the focus is on…

Numerical Analysis · Mathematics 2020-06-22 Amirreza Khodadadian , Nima Noii , Maryam Parvizi , Mostafa Abbaszadeh , Thomas Wick , Clemens Heitzinger

We introduce a stress/total-pressure formulation for poroelasticity that includes the coupling with steady nonlinear diffusion modified by stress. The nonlinear problem is written in mixed-primal form, coupling a perturbed twofold…

Numerical Analysis · Mathematics 2023-06-27 Bryan Gomez-Vargas , Kent-Andre Mardal , Ricardo Ruiz-Baier , Vegard Vinje

In the study of ocean wave impact on structures, one often uses Froude scaling since the dominant force is gravity. However the presence of trapped or entrained air in the water can significantly modify wave impacts. When air is entrained…

Classical Physics · Physics 2020-02-20 Frédéric Dias , Denys Dutykh , Jean-Michel Ghidaglia

The present work is aimed to find suitable exchange conditions for saturated fluid flow in a porous medium, when a fractal microstructure is embedded in the porous matrix. Two different deterministic models are introduced and rigorously…

Analysis of PDEs · Mathematics 2020-08-21 Fernando A Morales , Luis C Aristizábal

Knowledge of the underlying mechanisms of multiphase flow dynamics in porous media is crucial for optimizing subsurface engineering applications like geological carbon sequestration. However, studying the micro-mechanisms of multiphase…

Fluid Dynamics · Physics 2025-08-01 Quanwei Dai , Kang Duan , Chung-Yee Kwok

We performed a set of numerical simulations to characterize the interplay of fracture network topology, upscaling, and mesh refinement on flow and transport properties in fractured porous media. We generated a set of generic…

Computational Engineering, Finance, and Science · Computer Science 2023-02-23 Aleksandra A. Pachalieva , Matthew R. Sweeney , Hari Viswanathan , Emily Stein , Rosie Leone , Jeffrey D. Hyman

Turbulent flow over permeable interface is omnipresent featuring complex flow topology. In this work, a data driven, end to end machine learning model has been developed to model the turbulent flow in porous media. For the same, we have…

Fluid Dynamics · Physics 2023-11-28 Xu Chu , Sandeep Pandey

Convection-driven cooling in porous media influences thermo-poro-mechanical stresses, thereby causing deformation. These processes are strongly influenced by the presence of fractures, which dominate flow and heat transfer. At the same…

Numerical Analysis · Mathematics 2020-12-14 Ivar Stefansson , Eirik Keilegavlen , Sæunn Halldórsdóttir , Inga Berre

In this work, we present a numerical method that provides accurate real-time detection for the widths of the fractures in a fractured porous medium based on observational data on porous medium fluid mass and velocity. To achieve this task,…

Numerical Analysis · Mathematics 2025-02-25 Phuoc Toan Huynh , Feng Bao , Thi-Thao-Phuong Hoang

Fluid flow through intricate confining geometries often exhibits complex behaviors, certainly in porous materials, e.g. in groundwater flows or the operation of filtration devices and porous catalysts. However, it has remained extremely…

We present an approach to simulate the 3D isotropic elastic wave propagation using nonuniform finite difference discretization on staggered grids. Specifically, we consider simulation domains composed of layers of uniform grids with…

Numerical Analysis · Mathematics 2022-09-13 Longfei Gao , Omar Ghattas , David Keyes

We consider the propagation of nonlinear plane waves in porous media within the framework of the Biot-Coussy biphasic mixture theory. The tortuosity effect is included in the model, and both constituents are assumed incompressible…

Fluid Dynamics · Physics 2021-07-07 Harold Berjamin

A numerical model based on the finite-difference time-domain method is developed to simulate fluctuations which accompany the dephasing of atomic polarization and the decay of excited state's population. This model is based on the…

Optics · Physics 2009-08-31 Jonathan Andreasen , Hui Cao

This paper analyzes the accuracy of the standard Yee finite-difference time-domain (FDTD) scheme for simulating normal incidence of harmonic plane waves on planar interfaces between lossless, linear, homogeneous, isotropic media. Unlike…

Numerical Analysis · Mathematics 2026-04-15 Pavel A. Makarov , Vladimir I. Shcheglov

In the field of brittle fracture animation, generating realistic destruction animations using physics-based simulation methods is computationally expensive. While techniques based on Voronoi diagrams or pre-fractured patterns are effective…

Graphics · Computer Science 2025-02-21 Yuhang Huang , Takashi Kanai

This manuscript presents PoreDiT, a novel generative model designed for high-efficiency digital rock reconstruction at gigavoxel scales. Addressing the significant challenges in digital rock physics (DRP), particularly the trade-off between…

Artificial Intelligence · Computer Science 2026-04-14 Yizhuo Huang , Baoquan Sun , Haibo Huang

The objective of this study is to better understand the influence of fractures on the possibility of free convection in porous media. To this aim, we introduce a mathematical model for density driven flow in the presence of fractures, and…

Numerical Analysis · Mathematics 2024-09-06 Arash Andrea Roknian , Anna Scotti , Alessio Fumagalli

Space-time varying media enable unprecedented control over electromagnetic waves, yet most existing studies assume idealized, nondispersive materials and thus fail to capture the intrinsic frequency dispersion of realistic platforms. Here,…

Optics · Physics 2025-12-16 Klaas De Kinder , Christophe Caloz

Numerical simulation of multiphase compositional flow in fractured porous media, when all the species can transfer between the phases, is a real challenge. Despite the broad applications in hydrocarbon reservoir engineering and hydrology, a…

Computational Physics · Physics 2015-06-15 Joachim Moortgat , Abbas Firoozabadi
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