Abstract: Steady, 2D Darcian seepage in a homogeneous isotropic porous medium under an impervious structure is studied by the methods of complex analysis. The geometry of the structure is studied focusing on the travel time of a ...

Abstract: Two-dimensional flows near cavities were studied by superposition of the Philip solution for an isobaric cylindrical cavity in an infinite unsaturated soil and vertical infiltration. Depending on the radius of the cavity ...

Abstract: An optimal shape design problem for an empty drainage ditch is solved and it is shown that a semicircle intercepting saturated seepage from two constant potential rays is a contour of constant Darcian velocity and of maximal ...

Abstract: Computer algebraic routines are applied for determination of the phreatic surface from standard boundary-value problems for ordinary differential equations. The method does not require iterative steps as other methods do ...

Abstract: A complex‐variable method and series expansions are applied to optimal‐shape design problems for a channel bed. A dimensionless depth of a trapezoidal and rectangular channel is determined by minimizing the cost function ...

Abstract: Single sink depths providing maximum ground‐water table decrease during a fixed time interval within a selected area are found for the 2‐D and 3‐D cases. The curve of the maximal phreatic surface position (underflooding ...

Abstract: Steady, 2D Darcian seepage from a zero-depth reservoir into a homogeneous porous bank is studied analytically. Using the Green-Ampt assumption for hydraulic conductivity as a function of pressure and the Vedernikov model ...

Abstract: Steady, essentially two-dimensional, tension-saturated seepage from a flat-bottomed soil channel in an arid environment is studied analytically. Physically, the action of capillary spreading, evaporative drive to the ...

Abstract: A zero-pressure isobar is reconstructed in a potential Laplacian field generated by a sink–source pair that models steady-state Darcian seepage from a ponded soil surface to a cavity draining a homogeneous isotropic ...