A fracture mapping and extended finite element scheme for coupled deformation and fluid flow in fractured porous media

2013 ◽  
Vol 37 (17) ◽  
pp. 2916-2936 ◽  
Author(s):  
Anthony R. Lamb ◽  
Gerard J. Gorman ◽  
Derek Elsworth
Keyword(s):  
Finite Element ◽  
Porous Media ◽  
Fluid Flow ◽  
Fractured Porous Media ◽  
Extended Finite Element ◽  
Finite Element Scheme ◽  
Element Scheme ◽  
Fracture Mapping

scholarly journals An Extended Finite Element Model for Fluid Flow in Fractured Porous Media

2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
Fei Liu ◽  
Li-qiang Zhao ◽  
Ping-li Liu ◽  
Zhi-feng Luo ◽  
Nian-yin Li ◽  
...  
Keyword(s):  
Finite Element ◽  
Porous Medium ◽  
Porous Media ◽  
Fluid Flow ◽  
Fluid Pressure ◽  
Element Model ◽  
Fractured Porous Media ◽  
Extended Finite Element ◽  
Fluid Exchange ◽  
Volume Fracturing

This paper proposes a numerical model for the fluid flow in fractured porous media with the extended finite element method. The governing equations account for the fluid flow in the porous medium and the discrete natural fractures, as well as the fluid exchange between the fracture and the porous medium surrounding the fracture. The pore fluid pressure is continuous, while its derivatives are discontinuous on both sides of these high conductivity fractures. The pressure field is enriched by the absolute signed distance and appropriate asymptotic functions to capture the discontinuities in derivatives. The most important advantage of this method is that the domain can be partitioned as nonmatching grid without considering the presence of fractures. Arbitrarily multiple, kinking, branching, and intersecting fractures can be treated with the new approach. In particular, for propagating fractures, such as hydraulic fracturing or network volume fracturing in fissured reservoirs, this method can process the complex fluid leak-off behavior without remeshing. Numerical examples are presented to demonstrate the capability of the proposed method in saturated fractured porous media.

scholarly journals Finite element modeling of fluid flow in fractured porous media using unified approach

2020 ◽  
Vol 43 (1) ◽  
pp. 13-22
Author(s):  
Hai-Bang Ly ◽  
Hoang-Long Nguyen ◽  
Minh-Ngoc Do
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Porous Media ◽  
Fluid Flow ◽  
Numerical Solutions ◽  
Fractured Porous Media ◽  
Flow In Porous Media ◽  
Soil Science ◽  
The Finite Element Method ◽  
Element Method

Understanding fluid flow in fractured porous media is of great importance in the fields of civil engineering in general or in soil science particular. This study is devoted to the development and validation of a numerical tool based on the use of the finite element method. To this aim, the problem of fluid flow in fractured porous media is considered as a problem of coupling free fluid and fluid flow in porous media or coupling of the Stokes and Darcy equations. The strong formulation of the problem is constructed, highlighting the condition at the free surface between the Stokes and Darcy regions, following by the variational formulation and numerical integration using the finite element method. Besides, the analytical solutions of the problem are constructed and compared with the numerical solutions given by the finite element approach. Both local properties and macroscopic responses of the two solutions are in excellent agreement, on condition that the porous media are sufficiently discretized by a certain level of finesse. The developed finite element tool of this study could pave the way to investigate many interesting flow problems in the field of soil science.

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