SITUATION 2 (Seepage of Water through Soil) Suppose that water seeps through a soil with depth H and length L. The governing partial differential equation for seepage of water through soil is given by a2h 22h = 0 Ox2 + z2 where h is the water pressure head (in meters) at any point (x, z) on the soil. Suppose that seepage is to be investigated in a soil region of depth H = 10 meters and length L = 30 meters. The origin of the said domain (soil region) is located at the lower-left corner. Positive x-direction goes to the right, while positive Z-direction goes up. The boundary conditions are as follows: ah (x = 0, 2) = 0 ax ah (x = 30 m, z) = 0 ax ah z (x, z = 0) = 0 h(x,z = 10 m) = 125 sin (0.25x) [in meters] Determine the water pressure head at different points in the domain. Construct a domain mesh with step size of 0.5 meters on both X- and z- directions. Draw a contour map showing equipotential lines (lines with same water pressure head). You may use any numerical method to solve the resulting system of equations. You may use any software to draw the contour map (or you may also draw it manually in scaled form). SITUATION 2 (Seepage of Water through Soil) Suppose that water seeps through a soil with depth H and length L. The governing partial differential equation for seepage of water through soil is given by a2h 22h = 0 Ox2 + z2 where h is the water pressure head (in meters) at any point (x, z) on the soil. Suppose that seepage is to be investigated in a soil region of depth H = 10 meters and length L = 30 meters. The origin of the said domain (soil region) is located at the lower-left corner. Positive x-direction goes to the right, while positive Z-direction goes up. The boundary conditions are as follows: ah (x = 0, 2) = 0 ax ah (x = 30 m, z) = 0 ax ah z (x, z = 0) = 0 h(x,z = 10 m) = 125 sin (0.25x) [in meters] Determine the water pressure head at different points in the domain. Construct a domain mesh with step size of 0.5 meters on both X- and z- directions. Draw a contour map showing equipotential lines (lines with same water pressure head). You may use any numerical method to solve the resulting system of equations. You may use any software to draw the contour map (or you may also draw it manually in scaled form)