Arjun
asked
in Partial Differential Equation (PDE)
Feb 14, 2019
retagged
Mar 12, 2021
by Lakshman Bhaiya

1 vote

Consider a two-dimensional flow through isotropic soil along $x$ direction and $z$ direction. If $h$ is the hydraulic head, the Laplace’s equation of continuity is expressed as

- $\dfrac{\partial h}{\partial x}+ \dfrac{\partial h}{\partial z} = 0 \\$
- $\dfrac{\partial h}{\partial x}+ \dfrac{\partial h}{\partial x} \dfrac{\partial h}{\partial z}+ \dfrac{\partial h}{\partial z} = 0 \\$
- $\dfrac{\partial^2 h}{\partial x^2}+ \dfrac{\partial^2 h}{\partial z^2} = 0 \\$
- $\dfrac{\partial^2 h}{\partial x^2}+ \dfrac{\partial^2 h}{\partial x \partial z} + \dfrac{\partial^2 h}{\partial z^2} = 0$