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Mathematical Modeling for Flow and Transport Through Porous Media (Paperback, Softcover reprint of the original 1st ed. 1991)
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Mathematical Modeling for Flow and Transport Through Porous Media (Paperback, Softcover reprint of the original 1st ed. 1991)
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The main aim of this paper is to present some new and general
results, ap plicable to the the equations of two phase flow, as
formulated in geothermal reservoir engineering. Two phase regions
are important in many geothermal reservoirs, especially at depths
of order several hundred metres, where ris ing, essentially
isothermal single phase liquid first begins to boil. The fluid then
continues to rise, with its temperature and pressure closely
following the saturation (boiling) curve appropriate to the fluid
composition. Perhaps the two most interesting theoretical aspects
of the (idealised) two phase flow equations in geothermal reservoir
engineering are that firstly, only one component (water) is
involved; and secondly, that the densities of the two phases are so
different. This has led to the approximation of ignoring capillary
pressure. The main aim of this paper is to analyse some of the
consequences of this assumption, especially in relation to
saturation changes within a uniform porous medium. A general
analytic treatment of three dimensional flow is considered. Pre
viously, three dimensional modelling in geothermal reservoirs have
relied on numerical simulators. In contrast, most of the past
analytic work has been restricted to one dimensional examples."
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