Analysis of Porous Media Flow Equations II

Course content

First order ODE; derivation of Dupuit-Thiem equation with and without skin effect; second order ODE; Boltzmann transformation; separation of variables; derivation of line source solution; series solutions of differential equations; logarithmic (Jacob`s) approximation; Laplace transform; line source solution using LT; linearity and superposition principle; convolution; wellbore storage; bounded reservoir solution with eigenfunction expansion and LT; hydraulically fractured well with LT; deconvolution.