Dispersion from Sources in Nonuniform Seepage Flow
The concentration distribution due to dispersion of contaminant from a line source or a point source in a nonuniform flow through a porous medium is found to be described by rather simple...

Solution of Diffusion Equation
The nonlinear diffusion equation governing the unsteady and unsaturated one-dimensional flow in porous media is solved numerically by using the linearized form of transformed, ordinary...

Wastewater Recharge and Dispersion in Porous Media
For steady flow between a recharging and a pumping well, in an infinite, confined aquifer of homogeneous, isotropic media, theoretical expressions are developed for the spatial and temporal...

Dispersion in Layered Porous Media
Analytical solutions have been obtained to two problems of dispersion in a layered porous medium. The solution for longitudinal dispersion in flow perpendicular to the layers is given...

Similitude for Drainage of Soils
The similarity condition was applied to nonsteady flow of liquids in partially saturated porous media. Inspectional analysis was applied to the differential equation describing two-phase...

Free Surface Flow in Porous Media
A nonlinear theory is given for steady, two-dimensional seepage from a series of triangular channels and from a single triangular channel into permeable soil underlain at a finite depth...

The validity of numerical solutions of nonsteady-state, one-dimensional, vertical drainage problems was evaluated by comparison with experimental data. Experimental data included simultaneous...

Two-Dimensional Dispersion
The dispersion of a pollutant solution in a flow through a porous medium was investigated. A theoretical solution was obtained for the general, two-dimensional, convective-dispersion equation...

Two Solutions of Free-Surface Flow in Porous Media
The movement of the decaying free-surface mound over an aquifer of infinite depth is investigated. Because the problem involves the solution of Laplace equation with a nonlinear boundary...

Laminar Flow Between Porous Disks
The equation of motion for steady, incompressible, axially symmetric flow between parallel porous disks have been solved. The flow is entirely the result of either suction or injection...

Similitude for Drainage of Soils

Resistance to Laminar Flow Through Porous Media
The equations for laminar flow through porous media for the linear and nonlinear regimes, are derived from a consideration of the hydrodynamic drag forces on individual particles. The...

Experiments on Lateral Dispersion in Porous Media
Experiments are carried out to determine the coefficient, D, of lateral dispersion in flow through porous media, with values of R between 0.3...

Properties of Porous Media Affecting Fluid Flow
Following the Burdine approach, based on a model developed by Wyllie and Spangler, a theory is presented that develops the functional relationships among saturation, pressure difference,...

Deep Well Waste Injection - Reaction with Aquifer Water
Deep-well injection is a promising method for permanently storing some liquid wastes. The influence of reactions between injected and interstitial waters on aquifer permeability is a problem...

Initial Motion Problem in Porous Media
The Lagrangian equations of fluid mechanics are used to solve the problem of rapid drawdown adjacent to a steep earth embankment. The equations are solved for the pressure and the shape...

Shock and Reflection in a Nonlinear Medium
One-dimensional shock wave propagation and reflection phenomena in a nonlinear medium are investigated. The medium is of decreasing compressibility, its stress-strain curve has a general...

Band Diffusion with Variable Parameters Along Flow
The diffusion equation with variable parameters along the flow can be solved when the diffused quantity is confined to a narrow band. Solutions are obtained for diffusion from a line source...

Turbulent Flow in Porous Media
An equation applicable for both laminar and turbulent flow in porous media has been developed and experimentally verified. This equation expresses the pressure drop per unit length as...

Dispersion and Adsorption in Porous Media Flow
A mathematical analysis is presented of the phenomenon of simultaneous dispersion and adsorption of a solute in porous media flow. Mathematical solutions are given that refer to the case...