A generalised groundwater flow equation using the concept of non-integer order derivatives
时间：2007-10-29 来源： 作者：
Abstract
:The
classical Darcy law is generalised by regarding the water flow as a function of
a non-integer order derivative of the piezometric head. This generalised
law and the law of conservation of mass are then used to derive a new equation
for groundwater flow. Numerical solutions of this equation for various
fractional orders of the derivatives are compared with experimental data and the
Barker generalised radial flow model for which a fractal dimension for the flow
is assumed.
