A Systems Description of Flow Through Porous Media - download pdf or read online

By Jan Dirk Jansen

ISBN-10: 3319002597

ISBN-13: 9783319002590

this article kinds a part of fabric taught in the course of a path in complicated reservoir simulation at Delft college of know-how over the last 10 years. The contents have additionally been offered at numerous brief classes for commercial and educational researchers drawn to history wisdom had to practice examine within the sector of closed-loop reservoir administration, sometimes called clever fields, on the topic of e.g. model-based construction optimization, facts assimilation (or historical past matching), version relief, or upscaling thoughts. each one of those issues has connections to system-theoretical concepts.
The introductory a part of the direction, i.e. the structures description of circulation via porous media, types the subject of this short monograph. the most target is to offer the vintage reservoir simulation equations in a notation that allows using techniques from the systems-and-control literature. even supposing the idea is restricted to the particularly basic state of affairs of horizontal two-phase (oil-water) move, it covers numerous average features of porous-media flow.
The first bankruptcy provides a short overview of the elemental equations to symbolize single-phase and two-phase circulation. It discusses the governing partial-differential equations, their actual interpretation, spatial discretization with finite transformations, and the remedy of wells. It includes famous concept and is basically intended to shape a foundation for the following bankruptcy the place the equations should be reformulated by way of systems-and-control notation.
The moment bankruptcy develops representations in state-space notation of the porous-media stream equations. The systematic use of matrix partitioning to explain the differing kinds of inputs ends up in an outline when it comes to nonlinear ordinary-differential and algebraic equations with (state-dependent) approach, enter, output and direct-throughput matrices. different subject matters contain generalized state-space representations, linearization, removing of prescribed pressures, the tracing of movement strains, carry tables, computational elements, and the derivation of an strength stability for porous-media flow.
The 3rd bankruptcy first treats the analytical answer of linear structures of normal differential equations for single-phase move. subsequent it strikes directly to the numerical answer of the two-phase circulation equations, masking numerous elements like implicit, particular 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 uncomplicated numerical examples to demonstrate those and different features similar to mobility results, well-constraint switching, time-stepping information, and system-energy accounting.
The contents of this short might be of worth to scholars and researchers attracted to the applying of systems-and-control suggestions to grease and fuel reservoir simulation and different purposes of subsurface circulate simulation corresponding to CO2 garage, geothermal strength, or groundwater remediation.

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