GATE Civil Engineering
+1 vote

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

  1. $\dfrac{\partial h}{\partial x}+ \dfrac{\partial h}{\partial z} = 0 \\$
  2. $\dfrac{\partial h}{\partial x}+ \dfrac{\partial h}{\partial x} \dfrac{\partial h}{\partial z}+ \dfrac{\partial h}{\partial z} = 0 \\$
  3. $\dfrac{\partial^2 h}{\partial x^2}+ \dfrac{\partial^2 h}{\partial z^2} = 0 \\$
  4. $\dfrac{\partial^2 h}{\partial x^2}+ \dfrac{\partial^2 h}{\partial x \partial z} + \dfrac{\partial^2 h}{\partial z^2} = 0$
in Partial Differential Equation (PDE): by (2.8k points)
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