Finite element method for incompressible miscible displacement in porous media

1993 ◽  
Vol 9 (3) ◽  
pp. 204-212 ◽  
Author(s):  
Qian Li ◽  
Huanzhen Chen
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Porous Media ◽  
Miscible Displacement ◽  
Element Method

scholarly journals A Broken P1-Nonconforming Finite Element Method for Incompressible Miscible Displacement Problem in Porous Media

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Fengxin Chen ◽  
Huanzhen Chen
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Porous Media ◽  
Piecewise Linear ◽  
Miscible Displacement ◽  
Triangular Elements ◽  
Concentration Equation ◽  
Incompressible Miscible Displacement Problem ◽  
Approximate Scheme ◽  
Element Method

An approximate scheme is defined for incompressible miscible displacement in porous media. This scheme is constructed by using immersed interface finite element method for the pressure equation which is based on the broken P1-nonconforming piecewise linear polynomials on interface triangular elements and utilizing finite element method for the concentration equation. Error estimates for pressure in broken H1 norm and for concentration in L2 norm are presented.

scholarly journals A Second Order Characteristic Method for Approximating Incompressible Miscible Displacement in Porous Media

2012 ◽  
Vol 2012 ◽  
pp. 1-21
Author(s):  
Tongjun Sun ◽  
Keying Ma
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Porous Media ◽  
Miscible Displacement ◽  
Second Order ◽  
Material Derivative ◽  
Characteristic Finite Element ◽  
Derivative Term ◽  
Concentration Equation ◽  
Element Method

An approximation scheme is defined for incompressible miscible displacement in porous media. This scheme is constructed by two methods. Under the regularity assumption for the pressure, cubic Hermite finite element method is used for the pressure equation, which ensures the approximation of the velocity smooth enough. A second order characteristic finite element method is presented to handle the material derivative term of the concentration equation. It is of second order accuracy in time increment, symmetric, and unconditionally stable. The optimalL2-norm error estimates are derived for the scalar concentration.

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