Chapter 3. Saturated Water Flow - LAWR

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SSC107 – Fall 2000 <strong>Chapter</strong> 3 Page 3-6 be logical to have J w be positive. - Put minus sign in front, so that: J w = - K So that flux is positive, if water is moving towards increasing X, or H is decreasing as X is increasing . ∆H ∆X Directional Convention for position (X)and flux density (J w ) + - + Convention for locating variables is dependent on column orientation - horizontal vertical X 1 left (x 1 ) bottom (z 1 ) X 2 right (x 2 ) top (z 2 ) H 1 left bottom H 2 right top NOTE: In this class when using Darcy's Law and other similar transport equations, use this convention ✪ When using this convention correctly, what is the sign of J w if water flow is
SSC107 – Fall 2000 <strong>Chapter</strong> 3 Page 3-7 downward, upward, left or right ? J w = + flow to right or up J w = - flow to left or down The proper sign of J w is your self-check of the problem. Remember if H 2 > H 1 , water flows from position 2 towards position 1. The value of GRAVITATIONAL HEAD (z) depends on where you select the reference level. Above the reference level it is positive, below it is negative. EXAMPLES: A. Steady state saturated flow in horizontal soil columns water L b 1 Soil column 2 Reference level (z=0) X 1 = x 1 = 0 X 2 = x 2 = L h 1 = b h 2 = 0 H 1 = b H 2 = 0
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Chapter 3. Saturated Water Flow - LAWR

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