Non-Darcy Skin Effect with a New Boundary Condition

Use of numerical methods has been a popular tool for engineers especially with the advent of faster computers. This study uses the finite element method to solve the non-Darcy flow problem with a new boundary condition involving step functions. The problem of non-Darcy skin reconsidered in terms of a distinct skin value during production and decreasing to a smaller value during well shut-in. The boundary condition is formulated and solution is performed using commercial finite element and finite difference solvers/simulators. We show that the current prevalent model of using non-Darcy coefficient to model this changing skin behavior is adequate for engineering purposes.