The exchange of groundand surface water plays a crucial role in a variety of practically relevant processes ranging from flood protection measures to preservation of ecosystem health in natural and human-impacted water resources systems. Commonly accepted models are based on the shallow water equations for overland flow and the Richards equation for saturated–unsaturated subsurface flow with su...

Water movement in an unsaturated porous medium (soil) can be expressed by Richards equation with the mass conservation law and Darcy-Buckingham's law. This three different forms as pressure head-based, moisture content based mixed from. In this study, we solve one dimensional Equation form numerically using finite difference method various time-stepping schemes: Forward Euler, Backward Crank-Ni...

Citation Cueto-Felgueroso, L., and R. Juanes. " A phase field model of unsaturated flow. Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. [1] We present a phase fie...

Application of nonlinearity continuation method to numerical solution steady-state groundwater flow in variably saturated conditions is presented. In order solve the system nonlinear equations obtained by finite volume discretization Richards equation, a series problems with increasing are solved using Newton method. This approach compared pseudo-transient on several test cases, including real ...

[1] Soil water dynamics and drainage are key abiotic factors controlling losses of atmospherically deposited N in Southern California. In this paper soil N leaching and trace gaseous emissions simulated by the DAYCENT biogeochemical model using its original semi‐dynamic water flow module were compared to that coupled with a finite element transient water flow module (HYDRUS), for two mixed coni...

This paper introduces the development and implementation of a multiphysical model to simulate the coupled hydro-thermo-mechanical processes in freezing unsaturated porous materials. The model couples the Fourier’s law for heat transfer, the generalized Richards’ equation for fluid transfer in unsaturated media, and the mechanical constitutive relationship. Coupling parameters were defined to tr...

This note is a sequel to the paper On rings on rings by Anatole Beck [ l ] . The problem we consider (originally proposed by Paul Rosenbloom) is that of characterizing the parameter p for the annulus Q = {1< | s| <p} in terms of the ring R of bounded analytic functions nn this annulus. Beck's solution involves properties of univalent functions, and although the subset of univalent functions in ...

remains to be done in order that perfect certainty may be attained, nevertheless the outcome must be regarded as promising in pointing toward an adequate and convenient method of separating gallium from other metals. Three fractional samples of the chloride discussed in the previous section were analyzed, using the usual methods employed in Harvard University in order to make a preliminary dete...

The steady infiltration rate of soil profiles is commonly determined for irrigation and conservation planning, but the divergence methods reduces reliability measurements. In this study, measured with a double ring infiltrometer (isr-dri) in different layers profile was compared between vertical saturated flow estimated by Richards equation (isr-hy). measurements isr-dri at top A, E, Bt horizon...