Abstract
In the third chapter we consider hydraulic shock (short-term processes) in incompressible media. Hydraulic shock is a sharp rise of pressure in some fluid-filled system such as pipes, fractures and pores. This process is used in oil well fracturing. There are some engineering models (formulae) to calculate the pressure in the pipe system during a hydraulic shock. But these models do not work for more complex systems, such as an oil well. Existing mathematical models of hydraulic shock in porous media are nothing more than the same engineering models of pipe systems. For the basic model at the microscopic level we systematically derive all possible homogenized models. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.