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We extend a three-stage anaerobic digestion model by incorporating microbial mortality into the hydrolysis of particulate organic matter. The model describes hydrolysis, acidogenesis, and methanogenesis, each with distinct dilution and…

Dynamical Systems · Mathematics 2026-04-22 Radhouane Fekih-Salem

We present a compositional compressible two-phase, liquid and gas, flow model for numerical simulations of hydrogen migration in deep geological radioactive waste repository. This model includes capillary effects and the gas diffusivity.…

Analysis of PDEs · Mathematics 2010-06-16 Alain Bourgeat , Mladen Jurak , Farid Smai

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 present a hydro-geomechanical model for subsurface methane hydrate systems. Our model considers kinetic hydrate phase change and non-isothermal, multi-phase, multi-component flow in elastically deforming soils. The model accounts for the…

Numerical Analysis · Mathematics 2015-08-07 Shubhangi Gupta , Rainer Helmig , Barbara Wohlmuth

Monod's model describes the growth of microorganisms using a hyperbolic function of extracellular resource concentration. Under fluctuating or limited resource concentrations this model performs poorly against experimental data, motivating…

Populations and Evolution · Quantitative Biology 2022-12-29 Mohammad M. Amirian , Andrew J. Irwin , Zoe V. Finkel

We derive a compositional compressible two-phase, liquid and gas, flow model for numerical simulations of hydrogen migration in deep geological repository for radioactive waste. This model includes capillary effects and the gas high…

Mathematical Physics · Physics 2008-03-03 Alain Bourgeat , Mladen Jurak , Farid Smaï

Understanding the deep atmospheric composition of Jupiter provides critical constraints on its formation and the chemical evolution of the solar nebula. In this study, we combine one-dimensional thermochemical kinetic-transport modeling…

Earth and Planetary Astrophysics · Physics 2025-12-09 Jeehyun Yang , Ali Hyder , Renyu Hu , Jonathan I. Lunine

We consider the problem of hydrogen storage integration in microgrids to improve the electricity supply resilience. Nonlinear effects from electrochemical models of electrolyzers and fuel cells for hydrogen storage are considered, making…

Systems and Control · Electrical Eng. & Systems 2023-11-23 Shreshtha Dhankar , Cong Chen , Lang Tong

Combining the co-evolving chemistry, hydrodynamics and radiative transfer is an important step for star formation studies. It allows both a better link to observations and a self-consistent monitoring of the magnetic dissipation in the…

Astrophysics of Galaxies · Physics 2016-05-27 Natalia Dzyurkevich , Benoît Commerçon , Pierre Lesaffre , Dimitry Semenov

Genome-scale stoichiometric modeling of metabolism has become a standard systems biology tool for modeling cellular physiology and growth. Extensions of this approach are also emerging as a valuable avenue for predicting, understanding and…

The appropriate design, construction, and operation of carbon capture and storage (CCS) and enhanced oil recovery (EOR) processes require a deep understanding of the resulting phases behavior in hydrocarbons-CO_2 multi-component mixtures…

Optimization and Control · Mathematics 2023-06-29 Gustavo E. O. Celis , Reza Arefidamghani , Hamidreza Anbarlooei , Daniel O. A. Cruz

Pore-scale simulations accurately describe transport properties of fluids in the subsurface. These simulations enhance our understanding of applications such as assessing hydrogen storage efficiency and forecasting CO$_2$ sequestration…

This paper presents a mixed finite element framework for coupled hydro-mechanical-chemical processes in heterogeneous porous media. The framework combines two types of locally conservative discretization schemes: (1) an enriched Galerkin…

Computational Engineering, Finance, and Science · Computer Science 2023-08-30 T. Kadeethum , S. Lee , F. Ballarin , J. Choo , H. M. Nick

Reservoir simulations for subsurface processes play an important role in successful deployment of geoscience applications such as geothermal energy extraction and geo-storage of fluids. These simulators provide time-laps dynamics of the…

Geophysics · Physics 2023-09-01 Johno van IJsseldijk , Hadi Hajibeygi , Kees Wapenaar

Diffusive transport has implications for the long-term status of underground storage of hydrogen (H$_2$) fuel and carbon dioxide (CO$_2$), technologies which are being pursued to mitigate climate change and advance the energy transition.…

Geophysics · Physics 2024-08-01 Anna Herring , Ruotong Huang , Adrian Sheppard

This study introduces a hybrid fluid simulation approach that integrates generative diffusion models with physics-based simulations, aiming at reducing the computational costs of flow simulations while still honoring all the physical…

In a companion paper, we put forth a thermodynamic model for complex formation via a chemical reaction involving multiple macromolecular species, which may subsequently undergo liquid-liquid phase separation and a further transition into a…

Biological Physics · Physics 2024-07-26 Ruoyao Zhang , Sheng Mao , Mikko P. Haataja

CO2 injection into a saline aquifer crossed by a tectonic fault is studied with coupled fluid mechanics - geomechanics modeling. The simulation approach is based on coupling of the MUFITS reservoir simulator and the FLAC3D mechanical…

Underground hydrogen storage (UHS) in geological formations is a promising technology for large-scale hydrogen energy storage. Although lessons were learned from similar studies, including geological carbon sequestration and underground gas…

Geophysics · Physics 2023-07-19 Qingqi Zhao , Yuhang Wang , Cheng Chen

Accurate characterization of subsurface heterogeneity is important for the safe and effective implementation of geological carbon storage (GCS) projects. This paper explores how machine learning methods can enhance data assimilation for GCS…

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