Handbook Of Porous Media Pdf Merge

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  1. Porous Media Pentair
  2. Handbook Of Porous Media Pdf Merge Pdf

Abstract In Part 1 the simultaneous flow of fluids of different properties is treated by substituting these fluids by one hypothetical fluid and applying singularities at those points where the properties of the actual fluids change. Their magnitude is chosen so that the specific discharges in the hypothetical fluid are everywhere identical to the specific discharges in the actual fluids. The flow in the hypothetical fluid can be determined by potential theory from the transformed boundary conditions and the influence of the singularities.

For the determination of the discharge a stream function is used which contains singularities in the form of vortices. For the determination of the fluid pressures a multiple-fluid potential is defined which contains singularities in the form of source and sink distributions. The stream and the potential functions each combine with auxiliary, many-valued functions to form complex potentials. These permit solutions in the form of one integral in complex variables, valid for any point in the entire field, irrespective of the fluid present.

The solution for the transition zone between fluids as well as the abrupt interface is elaborated. In Part 2 the two-dimensional example of an infinite, confined aquifer with an initial vertical interface between two fluids of different specific weight is elaborated, giving as a result the movement of the fluids in the entire field at the first moment and a first approximation for the rotation of the interface around the center as a function of time. These results are verified by a parallel plate model and an electric resistance model. In the latter model the vortices are replaced by sources for the tracing of streamlines and by source-sink combinations forming doublets for the potential lines.

Ancillary Article Information. Van Duijn, R. Schotting, The Interface Between Fresh and Salt Groundwater in Horizontal Aquifers: The Dupuit–Forchheimer Approximation Revisited, Transport in Porous Media, 2017, 117, 3, 481. 2 Ruud Weijermars, Arnaud van Harmelen, Lihua Zuo, Controlling flood displacement fronts using a parallel analytical streamline simulator, Journal of Petroleum Science and Engineering, 2016, 139, 23.

3 M. De Barros, A. Bellin, Impact of the spatial structure of the hydraulic conductivity field on vorticity in three-dimensional flows, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Science, 2016, 472, 2187, 20150730.

4 Marloes van Ginkel, Bas des Tombe, Theo Olsthoorn, Mark Bakker, Small-Scale ASR Between Flow Barriers in a Saline Aquifer, Groundwater, 2016, 54, 6, 840. 5 V.P. Matveenko, On vortex flows of a two-phase fluid in porous media, Computational Continuum Mechanics, 2014, 7, 3, 253. 6 M. Mahani, Generation of Voronoi Grid Based on Vorticity for Coarse-Scale Modeling of Flow in Heterogeneous Formations, Transport in Porous Media, 2010, 83, 3, 541. 7 E. MEIBURG, Miscible porous media displacements driven by non-vertical injection wells, Journal of Fluid Mechanics, 2008, 607.

Porous media pentair

8 Mohammad Ali Ashjari, Bahar Firoozabadi, Hassan Mahani, Using Vorticity as an Indicator for the Generation of Optimal Coarse Grid Distribution, Transport in Porous Media, 2008. 9 M.A. Firoozabadi, H. Khoozan, Vorticity-based coarse grid generation for upscaling two-phase displacements in porous media, Journal of Petroleum Science and Engineering, 2007, 59, 3-4, 271. 10 Jacobus de Vries, The Handbook of Groundwater Engineering, Second Edition, 2006, 1-1. 11 Mark Bakker, Gualbert H.P Oude Essink, Christian D Langevin, The rotating movement of three immiscible fluids—a benchmark problem, Journal of Hydrology, 2004, 287, 1-4, 270. 12 O.

Strack, Theory and applications of the Analytic Element Method, Reviews of Geophysics, 2003, 41, 2. 13 Gretar Tryggvason, Bernard Bunner, Asghar Esmaeeli, Nabeel Al-Rawahi, 2003, 39, 81. 14 H.-J.G. Kolditz, Variable-density flow and transport in porous media: approaches and challenges, Advances in Water Resources, 2002, 25, 8-12, 899.

15 Ekkehard Holzbecher, On the relevance of oscillatory convection regimes in porous media — review and numerical experiments, Computers & Fluids, 2001, 30, 2, 189. 16 Mark Bakker, Transient Dupuit Interface Flow with partially penetrating features, Water Resources Research, 1998, 34, 11, 2911. 17 J.R. Philips, C.J. Van Duijn, Slumping of brine mounds: bounds on behaviour, Journal of Hydrology, 1996, 179, 1-4, 159. 18 Otto D.

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Porous Media Pentair

Strack, A Dupuit-Forchheimer Model for three-dimensional flow with variable density, Water Resources Research, 1995, 31, 12, 3007. 19 Alexander E. Gurevich, Force potential for non-uniform-density fluids, Journal of Petroleum Science and Engineering, 1994, 10, 3, 189.

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Handbook Of Porous Media Pdf Merge Pdf

20 Rainer K. Senger, Paleohydrology of variable-density ground-water flow systems in mature sedimentary basins: example of the Palo Duro basin, Texas, USA, Journal of Hydrology, 1993, 151, 2-4, 109.