Some Nonlinear Problems in Classical Darcy Seepage Flow

This chapter will mainly introduce some typical nonlinear problems encountered in the study of Darcy seepage flow. The main content includes: The Laplace transform method widely used in solving partial differential equations of seepage flow, some special functions and their properties frequently used in the process of solving seepage flow equations, the application of Laplace transform in linear seepage flow systems, nonlinear quadratic pressure gradient term problem for classical Darcy seepage flow and its analytical solution method, the nonlinear problem of classical Darcy seepage flow of gas and its solution method, and how to apply the flow models to solve inverse problems in practical engineering (typical curve analysis of oil and gas production dynamic data).