InterPore2025

Session

MS07

19 May 2025, 11:25

280. Modeling processes in the Arctic from pore- to Darcy scale

Malgorzata Peszynska (Oregon State University)

19/05/2025, 11:25

(MS07) Mathematical and numerical methods for multi-scale multi-physics, nonlinear coupled processes

Oral Presentation

The Arctic is a complex and vast environment studied by many interdisciplinary teams. In the talk we present our recent results on modeling coupled thermal, hydrological, and mechanical processes in porous soils as well as in the snow portions of the cryosphere. While many models exist for these processes in other contexts, the special features of the Arctic including the subfreezing...

346. Rigorous Upscaling of the Navier-Stokes Equations in Heterogeneous Porous Media

Dr Kyle Pietrzyk (Lawrence Livermore National Laboratory)

19/05/2025, 11:40

(MS07) Mathematical and numerical methods for multi-scale multi-physics, nonlinear coupled processes

Oral Presentation

Fluid flow through heterogeneous porous media is ubiquitous in a variety of subsurface engineering applications, including hydrology, geothermal energy production, hydrogen storage, and carbon dioxide sequestration. To efficiently study macroscopic fluid flow---as well as other macroscopic phenomena---in these systems, rigorous upscaling techniques can be employed to derive coarse-grained...

137. A Dynamic Network Model for Thermally-Driven Reactive Transport Near Chemical Equilibrium via Spectral Decomposition

Binan Gu (Worcester Polytechnic Institute)

19/05/2025, 11:55

(MS07) Mathematical and numerical methods for multi-scale multi-physics, nonlinear coupled processes

Oral Presentation

Predicting the fluid, thermal, and solutal transport in an evolving complex network of pores requires a fundamental description of the transport processes and their coupling to the underlying reaction chemistry. In a single pore, the complex dynamics under various competing timescales and solution-coupled boundary conditions give rise to nonmonotone behaviors in net fluid, thermal, and species...

390. Numerical Modeling of CO2 Solution Injection into Korean Basalt for Rapid Geological Carbon Storage through Mineralization

Prof. Baehyun Min (Ewha Womans University)

19/05/2025, 12:10

(MS07) Mathematical and numerical methods for multi-scale multi-physics, nonlinear coupled processes

Oral Presentation

CO2 storage in basaltic formations has emerged as a promising method for carbon sequestration due to its rapid mineralization rates, as demonstrated by several projects (e.g., CarbFix in Iceland, Wallula in the USA, and 44.01 in Oman). This study numerically investigates the efficacy of CO2 solution injection into basalt formations in the Republic of Korea. We implement geochemical reactions...

363. Topologically-reduced models of flows in porous media with inclusions

Beatrice Riviere

19/05/2025, 13:50

(MS07) Mathematical and numerical methods for multi-scale multi-physics, nonlinear coupled processes

Oral Presentation

Mixed-dimensional coupled problems are characterized by coupled partial differential equations defined over domains of different dimensions. Examples include porous media with embedded inclusions. These problems arise in several applications ranging from geosciences to biomedicine. These models are computationally efficient thanks to the dimension reduction of the physical problem valid in...

79. A relaxation method for nonlinear convection-diffusion processes with discontinuous terms

Eduardo Abreu (University of Campinas, Sao Paulo, Brazil)

19/05/2025, 14:05

(MS07) Mathematical and numerical methods for multi-scale multi-physics, nonlinear coupled processes

Oral Presentation

We propose a mathematical relaxation method for nonlinear partial differential equations of convection-diffusion type discontinuous terms and computational applications [1,2]. We reformulate the underlying convection-diffusion problem as a system of hyperbolic equations coupled with relaxation terms. In contrast to existing literature on relaxation modeling (see, e.g., [3,4] and the references...

199. Coupled Hyperbolic Approach to Solve Buoyant Two-Phase Flow and Transport in Heterogeneous Porous Media

Armin Riess (ETH Zürich)

19/05/2025, 14:20

(MS07) Mathematical and numerical methods for multi-scale multi-physics, nonlinear coupled processes

Oral Presentation

Recently, a new approach for simulating buoyant two-phase flow and transport in porous media, which is based on a coupled hyperbolic system, was proposed. This new scheme incorporates Darcy’s law by adding a source term to the isothermal Euler equations plus an extra equation for phase transport. The system allows for explicit computations and is solved in its hyperbolic form with a...

511. Intracellular "in silico microscopes" - fully 3D spatio-temporal virus replication model simulations

Gabriel Wittum (G-CSC, Goethe-Universität Frankfurt)

19/05/2025, 14:50

(MS07) Mathematical and numerical methods for multi-scale multi-physics, nonlinear coupled processes

Oral Presentation

Despite being small and simple structured in comparison to their victims, virus particles have the potential to harm severly and even kill highly developed species such as humans. To face upcoming virus pandemics, detailed quantitative biophysical understanding of intracellular virus replication mechanisms is crucial. Unveiling the relationship of form and function will allow to determine...

52. Pore-Scale Modeling and Relative Permeability Upscaling in Stress-Sensitive Fractured Porous Media

Marcio Murad (Laboratorio Nacional de Computacao Cientifica)

20/05/2025, 11:35

(MS07) Mathematical and numerical methods for multi-scale multi-physics, nonlinear coupled processes

Oral Presentation

We investigate multiphase flow in rough-walled fractures within stress-sensitive rocks, addressing the complexities introduced by rock deformation and fracture geometry. At the pore scale, we employ a Lattice-Boltzmann formulation to simulate flow under various conditions, parametrized by fracture aperture, joint roughness coefficient (JRC), contact angle, and viscosity ratio. The simulations...

589. Non-intrusive global-local method for the poroelasticity model with localized pressure effects

Dr Hemanta Kunwar (The University of Texas at El Paso)

20/05/2025, 11:50

(MS07) Mathematical and numerical methods for multi-scale multi-physics, nonlinear coupled processes

Oral Presentation

In many poroelasticity applications, which involve the coupling of mechanics and fluid pressure in porous media, the effects of pressure are often restricted to a limited local region within the entire domain. Thus, solving the poroelasticity system across the entire domain can be computationally inefficient and possibly unnecessary. Alternatively, one can consider solving the full...

456. Advancing constitutive models for expansive clays: integration of suitable effective stress and water retention frameworks

Alessandro Parziale (LMS-EPFL)

20/05/2025, 12:05

(MS07) Mathematical and numerical methods for multi-scale multi-physics, nonlinear coupled processes

Oral Presentation

Expansive clays, such as bentonite, are involved in the design of engineered barriers for municipal and nuclear waste disposal. These materials are characterized by very low permeability, high swelling capacity, and self-healing properties, which ensure effective waste isolation and long-term stability under many different environmental conditions. Given the critical nature of their...

449. Phase-Field Fracture Propagation in Thermo-Hydraulic-Mechanical Systems

Sanghyun Lee (Florida State University)

20/05/2025, 12:20

(MS07) Mathematical and numerical methods for multi-scale multi-physics, nonlinear coupled processes

Oral Presentation

This presentation introduces a diffraction-based thermo-hydraulic-mechanical (THM) model for fracture propagation using a phase-field fracture (PFF) approach. The THM-PFF model integrates four primary solution variables—displacements, phase-field, pressure, and temperature—each governed by distinct principles: conservation of momentum (mechanics), a variational inequality (constrained...

410. A Multiscale Approach to Simulate Multiphase Non-Isothermal Flow in Deformable Porous Materials

Xiaojin Zheng (Department of Civil and Environmental Engineering, Princeton University, Princeton, NJ 08544, USA)

20/05/2025, 12:35

(MS07) Mathematical and numerical methods for multi-scale multi-physics, nonlinear coupled processes

Oral Presentation

Feedbacks between multiphase fluid flow and solid deformation are crucial for advancing many geotechnical applications. These feedbacks remain incompletely understood and challenging to represent, particularly in complex porous media with pores of varying sizes. Traditional hydraulic-mechanical coupled models often struggle to accurately represent hybrid systems that include both solid-free...

483. A proposal to model non-uniform mixing of polymers in flows of shear-thinning polymers in porous media during enhanced oil recovery by polymer flooding

Prabir Daripa (Texas A&M University)

20/05/2025, 12:50

(MS07) Mathematical and numerical methods for multi-scale multi-physics, nonlinear coupled processes

Oral Presentation

In modeling flows of shear-thinning polymers in porous media, it is usually assumed that the polymer is uniformly mixed in the aqueous phase in space and time. However, this is rarely the case after an initial period of flow through the porous media. Even though there does not exist any theory of how the non-uniformity in mixing develops in time and space, we propose a modeling approach to...