TY - JOUR
AU1 - Kacimov, A.
AU2 - Youngs, E.
AB - An analytical solution of Laplace’s equation is obtained for the flow of water in the tension-saturated zone of a “Green and Ampt” soil, subject to uniform vertical infiltration from above, around an axisymmetric cavity of critical shape that just excludes water. The solution is obtained by converting a line-source potential in a plane seepage flow into a line source in an axisymmetric flow (the Polubarinova-Kochina solution) using Pologii’s integral transform combined with a unit-gradient potential for downward seepage flow. The analysis shows that both the cavity surface and the capillary fringe boundary are paraboloids between which is sandwiched a tension-saturated region. The critical cavity obtained for the Green and Ampt soil and Philip’s paraboloidal cavity obtained for a “Gardner” soil allow the estimates of the soil parameters used in the two soil models to be related.
TI - Axisymmetric critical cavities for water exclusion in “Green and Ampt” soils: use of Pologii’s integral transform
JF - Journal of Engineering Mathematics
DO - 10.1007/s10665-008-9264-9
DA - 2009-01-31
UR - https://www.deepdyve.com/lp/springer-journals/axisymmetric-critical-cavities-for-water-exclusion-in-green-and-ampt-4Y3DmNODqB
SP - 105
EP - 112
VL - 64
IS - 2
DP - DeepDyve
ER -