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James W. Mercer

Publications and source records attributed to James W. Mercer.

5 recordsLinked to original sources

Finite-difference model to simulate the areal flow of saltwater and fresh water separated by an interface

Model documentation is presented for a two-dimensional (areal) model capable of simulating ground-water flow of salt water and fresh water separated by an interface. The partial differential equations are integrated over the thicknesses of fresh water and salt water resulting in two equations describing the flow characteristics in the areal domain. These equations are approximated using finite-difference techniques and the resulting algebraic equations are solved for the dependent variables, fresh water head and salt water head. An iterative solution method was found to be most appropriate. The program is designed to simulate time-dependent problems such as those associated with the development of coastal aquifers, and can treat water-table conditions or confined conditions with steady-state leakage of fresh water. The program will generally be most applicable to the analysis of regional aquifer problems in which the zone between salt water and fresh water can be considered a surface (sharp interface). Example problems and a listing of the computer code are included. (USGS).

Open-File Report↗

Finite-difference model of two-dimensional, single, and two-phase heat transport in a porous medium - Version I

Model documentation is presented for a two-dimensional (areal) heat-transport model capable of simulating both water- and vapor-dominated geothermal reservoirs that conform with the assumptions of the model. Finite-difference techniques are used to solve for the dependent variables pressure and enthalpy. The program is designed to simulate time-dependent problems such as those associated with geothermal reservoirs undergoing exploitation, and can treat the transition from compressed water to two-phase flow. In order to simulate more complicated field problems the present program is being extended, and therefore the model described in this report is referred to as VERSION I. A listing of the computer code is included. (Woodard-USGS)

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A theoretical analysis of fluid flow and energy transport in hydrothermal systems

A mathematical derivation for fluid flow and energy transport in hydrothermal systems is presented. Specifically, the mathematical model describes the three-dimensional flow of both single- and two-phase, single-component water and the transport of heat in porous media. The derivation begins with the point balance equations for mass, momentum, and energy. These equations are then averaged over a finite volume to obtain the macroscopic balance equations for a porous medium. The macroscopic equations are combined by appropriate constitutive relationships to form two similified partial differential equations posed in terms of fluid pressure and enthalpy. A two-dimensional formulation of the simplified equations is also derived by partial integration in the vertical dimension. (Woodard-USGS)

Open-File Report↗

A cross-section plotting program (CSPP) for gridded (map) data

A FORTRAN program that prepares the Calcomp plotter tape for drawing cross-sections from gridded map data is described and documented. The program accepts gridded data of the form Z(x,y), where Z is the value at the grid intersection, (x,y). Up to 10 sets of Z(x,y) data for a given grid may be drawn on the same section. The positions of the end points of the cross-section are arbitrary. A bilinear interpolation scheme is used to obtain the Z(x,y) values along the specified cross-section. The program was designed to provide a visual aid for interpreting input and output data for two-dimensional (areal) finite-difference models used in aquifer analysis and geothermal reservoir simulation. The program should, however, be useful for drawing cross-sections of any multiple Z(x,y) gridded data. The computer code is called CSPP standing for Cross-Section Plotting Program.

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