Numerical Solution of transient linear and nonlinear single phase pressure in oil reservoirs with the Green element method

In this study، the numerical solution of linear and nonlinear equations، the flow of oil Ykbdy homogeneous and heterogeneous environments with the Green element method has been investigated. Green element method based on emerging theory of singular integral components of the border، but due to the feature sphere Gssthsazy solving finite element method، a matrix that is scattered and limited it is easier to solve. Resolved in this way to obtain the Green''s function without Borders and the desired differential equation into integral equations and then started making discrete integral equations، equations formed Srhmsazy German and eventually apply these equations with boundary conditions accepts the end. Using this method، after solving examples of linear and nonlinear flow، the results compared with analytical solutions were available.