A semi-analytic porosity evolution scheme for simulating wormhole propagation with the Darcy-Brinkman-Forchheimer model

DOI10.1016/j.cam.2018.08.055zbMath1404.65175OpenAlexW2892357023MaRDI QIDQ1757384

Shuyu Sun, Jisheng Kou, Yuan-Qing Wu

Publication date: 4 January 2019

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10754/628763

zbMATH Keywords

error estimatewormholeDarcy-Brinkman-Forchheimer modeltime scheme

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (5)

A three-field Banach spaces-based mixed formulation for the unsteady Brinkman-Forchheimer equations ⋮ Spatial decay estimates for the Fochheimer equations interfacing with a Darcy equations ⋮ A unified analysis of fully mixed virtual element method for wormhole propagation arising in the petroleum engineering ⋮ A vorticity-based mixed formulation for the unsteady Brinkman-Forchheimer equations ⋮ Fully mass-conservative IMPES schemes for incompressible two-phase flow in porous media

Uses Software

• UMFPACK

Cites Work

• Modeling the acidizing of a carbonate formation
• Numerical discretization of a Darcy-Forchheimer model
• Block-centered finite difference method for simulating compressible wormhole propagation
• Discontinuous Galerkin methods for coupled flow and reactive transport problems
• Characteristic block-centered finite difference method for simulating incompressible wormhole propagation
• Mixed finite element-based fully conservative methods for simulating wormhole propagation
• Analysis of expanded mixed finite element methods for the generalized forchheimer flows of slightly compressible fluids
• Mathematical analysis of a discrete fracture model coupling Darcy flow in the matrix with Darcy–Forchheimer flow in the fracture
• Computational simulation of chemical dissolution-front instability in fluid-saturated porous media under non-isothermal conditions
• Mixed and Hybrid Finite Element Methods
• Mixed Finite Elements for Elliptic Problems with Tensor Coefficients as Cell-Centered Finite Differences
• On the ability of a Darcy-scale model to capture wormhole formation during the dissolution of a porous medium
• Finite-element error estimates for the MAC scheme
• Algorithm 832
• A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles

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