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Pressure solution is an important process in sedimentary basins, and its behaviour depends mainly on the sediment rheology and temperature distribution. The compaction relation of pressure solution is typically assumed to be a viscous one…

Geophysics · Physics 2015-05-18 Xin-She Yang

In the mathematical modelling of sediment compaction and porous media flow, the rheological behaviour of sediments is typically modelled in terms of a nonlinear relationship between effective pressure $p_e$ and porosity $\phi$, that is…

Geophysics · Physics 2020-01-29 Xin-She Yang

Effects of heterogeneity of mineral distribution and reaction rate on the rock dissolution process are investigated using a pore-scale reactive transport model based on the lattice Boltzmann method. Coupled fluid flow, species transport,…

Fluid Dynamics · Physics 2015-11-16 Ting Min , Yimin Gao , Li Chen , Qinjun Kang , Wen-Quan Tao

In the mathematical modelling of compactional flow in porous media, the constitutive relation is typically modelled in terms of a nonlinear relationship between effective pressure and porosity, and compaction is essentially poroelastic.…

Geophysics · Physics 2010-03-30 Xin-She Yang

A mathematical model for poro-visco-plastic compaction and pressure solution in porous sediments has been formulated using the Voigt-type rheological constitutive relation as derived from experimental data. The governing equations reduce to…

Geophysics · Physics 2010-03-30 Xin-She Yang

Mineral dissolution in porous media coupled with single- or multi-phase flows is pervasive in natural and engineering systems including carbon capture and sequestration (CCS) and acid stimulation in reservoir engineering. Dissolution of…

Fluid Dynamics · Physics 2023-01-03 Rafid Musabbir Rahman , Carson Kocmick , Colin Shaw , Yaofa Li

When carbon dioxide (CO2) is injected into an aquifer or a depleted geological reservoir, its dissolution into solution results in acidification of the pore waters. As a consequence, the pore waters become more reactive, which leads to…

A pore-scale numerical model for reactive transport processes based on the Lattice Boltzmann method is used to study the dissolution-induced changes in hydrologic properties of a fractured medium and a porous medium. The solid phase of both…

Fluid Dynamics · Physics 2015-06-23 Li Chen , Qinjun Kang , Hari S. Viswanathan , Wenquan Tao

Mineral dissolution in porous media is classically partitioned into static regimes within the Pe-Da plane, but this framework fails to capture the dissolution behavior of structurally complex rocks. Using three-dimensional micro-continuum…

Fluid Dynamics · Physics 2026-05-19 Jinlei Wang , Yongfei Yang , Martin J. Blunt , Branko Bijeljic

We develop a methodological framework and mathematical formulation which yields estimates of the uncertainty associated with the amounts of CO2 generated by carbonate-clays reactions (CCR) in large-scale subsurface systems to assist…

We simulate the effects of diagenesis, cementation and compaction on the elastic properties of shales and sandstones with four different petro-elastical theories and a basin-evolution model, based on constant heating and sedimentation…

Porous sediments in geological systems are exposed to stress by the above-laying mass and consequent compaction, which may be significantly nonuniform across the massif. We derive scaling laws for the compaction of sediments of similar…

Fluid Dynamics · Physics 2015-03-17 Denis S. Goldobin

A three-dimensional model of polydisperse reactive sedimentation is developed by means of a multilayer shallow water approach. The model consists of a variety of solid particles of different sizes and densities, and substrates diluted in…

Numerical Analysis · Mathematics 2024-03-13 Julio Careaga , Víctor Osores

We propose a heterogeneous reaction-diffusion model for the hydration and setting of cement. The model is based on diffusional ion transport and on cement specific chemical dissolution/precipitation reactions under spatial heterogeneous…

Condensed Matter · Physics 2009-10-28 F. Tzschichholz , H. J. Herrmann , H. Zanni

Carbon mineralization in basaltic rocks may offer rapid, permanent \ce{CO2} storage, yet fundamental controls on reactive transport and precipitation patterns remain poorly understood. This study integrates flow-through experiments at…

Geophysics · Physics 2026-01-05 Mohammad Nooraiepour , Mohammad Masoudi , Helge Hellevang

We investigate the influence of multiscale aggregation and deposition on the colloidal dynamics in a saturated porous medium. At the pore scale, the aggregation of colloids is modeled by the Smoluchowski equation. Essentially, the colloidal…

Analysis of PDEs · Mathematics 2014-04-17 Oleh Krehel , Adrian Muntean , Peter Knabner

Discrete simulation methods are efficient tools to investigate the complex behaviors of complex fluids made of either dry granular materials or dilute suspensions. By contrast, materials made of soft and/or concentrated units (emulsions,…

Fluid Dynamics · Physics 2008-12-18 Pierre Rognon , Cyprien Gay

We present a detailed comparison of the rheological behaviour of sheared sediment beds in a pressure-driven, straight channel configuration based on data that was generated by means of fully coupled, grain-resolved direct numerical…

Fluid Dynamics · Physics 2021-07-21 B. Vowinckel , E. Biegert , E. Meiburg , P. Aussillous , É. Guazzelli

To study the coexistence of two liquid states of water within one simulation box, we implement an equilibrium sedimentation method--which involves applying a gravitational field to the system and measuring/calculating the resulting density…

Soft Condensed Matter · Physics 2009-11-07 M. Yamada , H. E. Stanley , F. Sciortino

Soft or weakly-consolidated sand refers to porous materials composed of particles (or grains) weakly held together to form a solid but that can be easily broken when subjected to stress. These materials do not behave as conventional…

Materials Science · Physics 2022-05-24 Paula A. Gago , Charalampos Konstantinou , Giovanna Biscontin , Peter King
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