@article{joshaghani2023IJNME, title = {Bound-preserving discontinuous Galerkin methods for compressible two-phase flows in porous media}, author = {M.~S.~Joshaghani and B.~Riviere}, journal = {International Journal for Numerical Methods in Engineering}, volume = {}, pages = {}, year = {}, }
@article{joshaghani2022CMAME, title = {Maximum-principle-satisfying discontinuous Galerkin methods for incompressible two-phase immiscible flow}, author = {M.~S.~Joshaghani and B.~Riviere and M.~Sekachev}, journal = {Computer Methods in Applied Mechanics and Engineering}, volume = {391}, pages = {114550}, year = {2022}, }
@article{joshaghani2022JCP, title = {A vertex scheme for two-phase flow in heterogeneous media}, author = {M.~S.~Joshaghani and V.~Girault and B.~Riviere} journal = {Journal of Computational Physics}, volume = {449}, pages = {110778}, year = {2022}, }
@article{joshaghani2022CiCP, title = {A Modeling Framework for Coupling Plasticity with Species Diffusion}, author = {M.~S.~Joshaghani and K.~B.~Nakshatrala}, journal = {Communications in Computational Physics}, year = {2022}, volume = {32}, number = {1}, pages = {83--125}, }
@article{joshaghani2019composable, title={Composable block solvers for the four-field double porosity/permeability model}, author={M.~S.~Joshaghani and J.~Chang and K.~B.~Nakshatrala and M.~G.~Knepley}, journal={Journal of Computational Physics}, volume={386}, pages={428--466}, year={2019}, publisher={Elsevier} }
@article{nakshatrala2019interface, title={On interface conditions for flows in coupled free-porous media}, author={K.~B.~Nakshatrala and M.~S.~Joshaghani}, journal={Transport in Porous Media}, volume={130}, number={2}, pages={577--609}, year={2019}, publisher={Springer}
@article{joshaghani2019stabilized, title={A stabilized mixed discontinuous Galerkin formulation for double porosity/permeability model}, author={M.~S.~Joshaghani and S.~H.~S.~Joodat and K.~B.~Nakshatrala}, journal={Computer Methods in Applied Mechanics and Engineering}, volume={352}, pages={508--560}, year={2019}, publisher={Elsevier} }
@article{raheem2017experimental, title={Non-destructive experimental testing and modeling of electrical impedance behavior of untreated and treated ultra-soft clayey soils}, author={A.~M.~Raheem and C.~Vipulanandan and M.~S.~Joshaghani}, journal={Journal of Rock Mechanics and Geotechnical Engineering}, volume={9}, number={3}, pages={543--550}, year={2017}, publisher={Elsevier} }
article{mousavi2016kinematic, title={A kinematic measurement for ductile and brittle failure of materials using digital image correlation [J]}, author={M.~M.~R.~Mousavi and M.~D.~Champiri and M.~S.~Joshaghani and S.~Sajjadi}, journal={AIMS Materials Science}, volume={3}, number={4}, pages={1759--1772}, year={2016} }
@article{raheem2016modeling, title={MODELING OF SHEAR STRENGTH-WATER CONTENT RELATIONSHIP OF ULTRA-SOFT CLAYEY SOIL.}, author={A.~M.~Raheem and M.~S.~Joshaghani}, journal={International Journal of Advanced Research}, volume={4}, number={4}, pages={537--545}, year={2016} }
@article{joshaghani2016analytical, title={Analytical modeling of large-scale testing of axial pipe-soil interaction in ultra-soft soil}, author={M.~S.~Joshaghani and A.~M.~Raheem and M.~M.~R.~Mousavi}, journal={American Journal of Civil Engineering and Architecture}, volume={4}, number={3}, pages={98--105}, year={2016} }
@incollection{vipulanandan2013deepwater, title={Deepwater axial and lateral sliding pipe-soil interaction model study}, author={C.~Vipulanandan and J.~A.~Yanhouide and M.~S.~Joshaghani}, booktitle={Pipelines 2013: Pipelines and Trenchless Construction and Renewals—A Global Perspective}, pages={1583--1592}, year={2013} }
The are many challenges in subsurface modeling. First, many important subsurface processes occur at the interfaces, either the interface of two different porous media (e.g., layered media) or the interface of free-porous media (e.g., hyporheic zones, arterial mass transport). Second, these processes (flow, transport, and mechanical deformation) are complex, coupled, and multi-physics by nature. Third, natural geomaterials such as fissured rocks often exhibit a pore-size distribution with two dominant pore scales. Fourth, the practical problems are invariably large-scale by nature. Thus, successful modeling of such processes in complex porous media requires: (i) an accurate prescription of flow dynamics within each region and at the interface, (ii) development of robust and accurate computational methods, and (iii) implementation and understanding of these models in a parallel and scalable high-performance computing (HPC) environment.
This dissertation develops modeling strategies to advance the current state-of-the-art in subsurface modeling to address the challenges mentioned above. The specific aims are three-fold: First, we develop a comprehensive mathematical framework that provides a self-consistent set of conditions for flow dynamics at an interface. It will be shown that many of the popular interface conditions form special cases of the proposed framework. The approach hinges on extending the principle of virtual power to account for the power expended at the interface and then appealing to the calculus of variations.
Second, we present a discontinuous Galerkin formulation for the double porosity/permeability (DPP) model. We present a numerical procedure to discretize the interface conditions accurately. We develop numerical strategies to simulate and study the flow of fluids in porous media with complex pore-networks by using the DPP model. We also devise solver and parallel computing strategies to solve large-scale practical problems.
Third, we address the coupling of mechanical deformation of the porous solid with transport processes. We assume the porous solid to be an elastoplastic material, and transport of chemical species to be Fickian and develop a mathematical model and a robust computational framework. These modeling tools can be applied to a variety of problems such as moisture diffusion in cementitious materials and consolidation of soils under severe loading-unloading regimes.
@misc{SarrafPhD, title = {Multi-scale and interface mechanics for porous media: mathematical models and computational frameworks}, author = {M.~S.~Joshaghani}, year = {2019}, institution = {University of Houston}, }