Journal ArticleDOI
Mathematical Model of Shallow Water Flow over Porous Media
Ali Osman Akan,Ben Chie Yen +1 more
Reads0
Chats0
TLDR
In this paper, a conjunctive mathematical model for a surface-subsurface flow system is developed, where the unsteady surface flow is explored by a set of one-dimensional dynamic wave equations for shallow water, which are solved by using a four-point implicit finite-difference scheme.Abstract:
A conjunctive mathematical model for a surface-subsurface flow system is developed. The unsteady surface flow is explored by a set of one-dimensional dynamic wave equations for shallow water, which are solved by using a four-point implicit finite-difference scheme. The transient subsurface flow is two-dimensional, with potential gradients in the vertical direction as well as the surface flow direction. The porous medium may be saturated or unsaturated or both, and it can be nonhomogeneous and anisotropic. The subsurface flow equation is solved by employing a successive line over-relaxation implicit finite-difference scheme. The surface and subsurface flow components are coupled at the ground surface considering the mass conservation and pressure relationships. The model is verified by using existing experimental data and analytical solutions for special cases.read more
Citations
More filters
Journal ArticleDOI
A fully coupled physically-based spatially-distributed model for evaluating surface/subsurface flow
Sorab Panday,P.S. Huyakorn +1 more
TL;DR: In this paper, a physically-based, spatially-distributed model for simulation of surface/subsurface flow and the interactions between these domains is presented for practical application to a wide variety of hydrologic evaluations.
Book
Advanced Unsaturated Soil Mechanics and Engineering
TL;DR: In this paper, a state-dependent elasto-plastic critical state-based constitutive model of unsaturated soils is proposed for slope stability in unsaturated soil, and a case study in slope engineering is presented.
Journal ArticleDOI
Modeling of conjunctive two-dimensional surface-three-dimensional subsurface flows
Masaru Morita,Ben Chie Yen +1 more
TL;DR: In this paper, a conjunctive two-dimensional surface and three-dimensional subsurface flow model is presented, which uses the noninertia approximation of the Saint-Venant equations for 2D unsteady surface flow and a modified version of the Richards equation for 3D unsaturated and saturated flows.
Journal ArticleDOI
Applicability of St. Venant Equations for Two‐Dimensional Overland Flows over Rough Infiltrating Surfaces
TL;DR: In this article, the St. Venant equations are applied to surfaces with highly irregular micro-topography, which yields abrupt changes in slopes at adjacent nodes, and a comparison of numerical solutions of the flow models with observed results over experimental hillslopes is satisfactory.
Journal ArticleDOI
First-order exchange coefficient coupling for simulating surface water-groundwater interactions: parameter sensitivity and consistency with a physics-based approach.
TL;DR: In this paper, the authors examined the parameter sensitivity of simulated hydrologic response for the first-order exchange coefficients at a well-characterized field site using the fully coupled Integrated Hydrology Model (InHM).
Related Papers (5)
Hydrologic‐Response simulations for the R‐5 catchment with a comprehensive physics‐based model
Joel E. VanderKwaak,Keith Loague +1 more
Role of subsurface flow in generating surface runoff: 1. Base flow contributions to channel flow
A closed-form equation for predicting the hydraulic conductivity of unsaturated soils
van Genuchten,M. Th. +1 more