Application of finite element discretization with weak formulation for simulation of acid fracturing in tight carbonate reservoirs

Alhubail, M.M. and Misra, A. and Maulianda, B. and Barati, R. (2020) Application of finite element discretization with weak formulation for simulation of acid fracturing in tight carbonate reservoirs. Journal of Petroleum Science and Engineering, 190. ISSN 09204105

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Abstract

Designing an acid fracturing model requires the coupling of two models numerically. The first one is the fracture propagation model, which is developed by the finite element method (FEM). The second model is the acid transport model, which is usually developed by the finite difference method (FDM). For complex geometries such as induced hydraulic fractures in tight formations, FEM is a more suitable technique to be used rather than FDM because of the advanced meshing capabilities that can be utilized in FEM. Hence, FEM has been used to develop an acid transport model. The developed model eases the coupling process of the two models, and it also improves the accuracy of the coupling process since both models are developed by one numerical technique. The velocity profile of the acid transport inside the induced fracture is achieved by numerically solving the Navier-Stokes equations. To get the acid distribution inside the induced fracture, the acid convection-diffusion equation is solved considering the diffusion term in all three fracture directions. The energy balance is also solved to get the acid reaction effect considering the temperature gradient in all three fracture directions. The developed model was validated against analytical solutions and existing numerical models. The developed model gives accurate results with relative error of 0.3. The model improves the predictions of the acid-etched width. The effect of Peclet number was also studied by experimenting with different Peclet number values. Finally, fracture conductivity correlations have been utilized to get the after-closure acid fracture conductivity. © 2020 Elsevier B.V.

Item Type: Article
Additional Information: cited By 3
Uncontrolled Keywords: Finite difference method; Fracture; Navier Stokes equations; Peclet number, Acid transport; Application of finite elements; Convection-diffusion equations; Finitedifference methods (FDM); Fracture acidizing; Fracture conductivities; Tight carbonate reservoir; Wormholes effect, Finite element method, carbonate; computer simulation; finite difference method; finite element method; fracture propagation; hydraulic fracturing; hydrocarbon reservoir; Navier-Stokes equations; numerical model; velocity profile
Depositing User: Mr Ahmad Suhairi UTP
Date Deposited: 10 Nov 2023 03:27
Last Modified: 10 Nov 2023 03:27
URI: https://khub.utp.edu.my/scholars/id/eprint/12983

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