6.7 ONE-DIMENSIONAL FLOW THROUGH POROUS MEDIA
Analysis for one-dimensional flow through porous media is similar to the heat flow analysis (e.g., ground water flow, seepage). A 2-node element as shown in Figure 6.21 is the simplest possible element can be used to analyse one-dimensional seepage problems. Formulation is given in the following steps.
Step 1: Select element type
Sign convention: Fluid flow entering a control volume is positive. Outgoing fluid flow is negative. Let vx, q and h be the flow velocity, the volumetric flow rate and the hydraulic head, respectively. Then, qi, i = 1, 2 and hi, i = 1, 2 shown in Figure 6.21 are the nodal fluid flow rates and the nodal hydraulic heads, respectively.
Step 2: Select approximation function
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