Rainfall induced groundwater mound in wedge-shaped promontories: The Strack–Chernyshov model revisited

摘要: Abstract An analytical solution to the Poisson equation governing Strack's discharge potential (squared thickness of a saturated zone in an unconfined aquifer) is obtained wedge-shaped domain with given head boundary conditions on wedge sides (specified water level open body around porous promontory). The vector components, maximum elevation table promontory vertical cross-sections, quantity groundwater seeping through segments sides, volume fresh mound are found. For acute angles, problem non-unique and specification behaviour at infinity needed. A “basic” distinguished, which minimizes height above horizontal bedrock. MODFLOW simulations carried out finite triangular island compare solutions constant-head, no-flow condition one side triangle. Far from tip infinite-size has be cautious truncation simulated flow domains imposing corresponding conditions. right obtuse there no positive for case constant accretion table. In particular confined rigid aquifer incompressible fluid, explicit Laplace hydraulic arbitrary time-space varying along rays, essentially 2-D transient Darcian flows within computed. They illustrate that surface waves boundaries can generate strong inside wedge. Evaporation sea-water intruded interface (rather than bed) straightforward generalizations Poissonian Strack potential.