Download e-book for kindle: A Systems Description of Flow Through Porous Media by Jan Dirk Jansen
By Jan Dirk Jansen
The introductory a part of the path, i.e. the structures description of circulate via porous media, types the subject of this short monograph. the most aim is to offer the vintage reservoir simulation equations in a notation that allows using innovations from the systems-and-control literature. even supposing the idea is restricted to the really uncomplicated scenario of horizontal two-phase (oil-water) stream, it covers numerous usual facets of porous-media flow.
The first bankruptcy offers a short overview of the fundamental equations to symbolize single-phase and two-phase movement. It discusses the governing partial-differential equations, their actual interpretation, spatial discretization with finite variations, and the remedy of wells. It includes recognized concept and is essentially intended to shape a foundation for the following bankruptcy the place the equations can be reformulated by way of systems-and-control notation.
The moment bankruptcy develops representations in state-space notation of the porous-media circulation equations. The systematic use of matrix partitioning to explain the different sorts of inputs results in an outline by way of nonlinear ordinary-differential and algebraic equations with (state-dependent) procedure, enter, output and direct-throughput matrices. different issues contain generalized state-space representations, linearization, removal of prescribed pressures, the tracing of circulate strains, raise tables, computational facets, and the derivation of an power stability for porous-media flow.
The 3rd bankruptcy first treats the analytical answer of linear platforms of standard differential equations for single-phase movement. subsequent it strikes directly to the numerical resolution of the two-phase move equations, protecting a variety of facets like implicit, specific or combined (IMPES) time discretizations and linked balance matters, Newton-Raphson new release, streamline simulation, computerized time-stepping, and different computational facets. The bankruptcy concludes with basic numerical examples to demonstrate those and different elements comparable to mobility results, well-constraint switching, time-stepping information, and system-energy accounting.
The contents of this short can be of worth to scholars and researchers drawn to the appliance of systems-and-control innovations to grease and fuel reservoir simulation and different purposes of subsurface circulation simulation akin to CO2 garage, geothermal strength, or groundwater remediation.
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A Systems Description of Flow Through Porous Media (SpringerBriefs in Earth Sciences) by Jan Dirk Jansen