Simulation of the interplay between resident and infiltrating water in partially saturated porous media

The interplay between resident water already in the subsurface environment (``old water") and infiltrating water (``new water") is examined. A smoothed particle hydrodynamics technique is used to simulate the interplay between old water and new water in a porous medium, over a cycle of drainage of old water and infiltration of new water. The effect of varying the average pore size is investigated via the Bond number, and several parameters (maximal mixing amount, minimal average size of old water pockets, mixing value for which the number of old water pockets decreases, and amount of old water remaining in the system for long times) are found to be independent of the average pore size, while the rate of change is always higher for larger pores. In particular, a certain amount of old water remains in the system within stable water pockets even after new water infiltration reaches steady state, and comprises about 2\% of the total water at steady state.

[1]  A. Jenkins,et al.  The contribution of old and new water to a storm hydrograph determined by tracer addition to a whole catchment , 2000 .

[2]  Patrick J. Fox,et al.  Simulation of pore-scale dispersion in periodic porous media using smoothed particle hydrodynamics , 2002 .

[3]  M. V. Genuchten,et al.  Mass transfer studies in sorbing porous media. I. Analytical solutions , 1976 .

[4]  F. Martin,et al.  Fluid diversion and sweep improvement with chemical gels in oil recovery processes , 1991 .

[5]  P. Meakin,et al.  Pore scale modeling of immiscible and miscible fluid flows using smoothed particle hydrodynamics , 2006 .

[6]  U Tüzün,et al.  Discrete–element method simulations: from micro to macro scales , 2004, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[7]  Patrick J. Fox,et al.  A pore‐scale numerical model for flow through porous media , 1999 .

[8]  J. Monaghan Smoothed particle hydrodynamics , 2005 .

[9]  J. Šimůnek,et al.  Fluid Flow and Solute Migration Within the Capillary Fringe , 2002, Ground water.

[10]  B. Berkowitz,et al.  Anomalous Transport in “Classical” Soil and Sand Columns , 2004, Soil Science Society of America Journal.

[11]  Brian Berkowitz,et al.  Percolation Theory and Network Modeling Applications in Soil Physics , 1998 .

[12]  H. Flühler,et al.  Solute mixing during imbibition and drainage in a macroscopically heterogeneous medium , 2007 .

[13]  Daniel H. Rothman,et al.  MACROSCOPIC MANIFESTATIONS OF MICROSCOPIC FLOWS THROUGH POROUS MEDIA: Phenomenology from Simulation , 1996 .

[14]  P. Meakin,et al.  A smoothed particle hydrodynamics model for miscible flow in three-dimensional fractures and the two-dimensional Rayleigh-Taylor instability , 2005 .

[15]  A. Pearce,et al.  Storm runoff generation in humid headwater catchments 1 , 1986 .

[16]  R. J. Mitchell,et al.  Physical modelling of a dissolved contaminant in an unsaturated sand , 1991 .

[17]  D. Or,et al.  Invasion percolation of single component, multiphase fluids with lattice Boltzmann models , 2003 .

[18]  Timothy D. Scheibe,et al.  A smoothed particle hydrodynamics model for reactive transport and mineral precipitation in porous and fractured porous media , 2007 .

[19]  J. Banavar,et al.  Computer Simulation of Liquids , 1988 .

[20]  Paul Meakin,et al.  Modeling of surface tension and contact angles with smoothed particle hydrodynamics. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[21]  A. Colagrossi,et al.  Numerical simulation of interfacial flows by smoothed particle hydrodynamics , 2003 .

[22]  Kenichi Soga,et al.  Centrifuge Modeling of Nonaqueous Phase Liquid Movement and Entrapment in Unsaturated Layered Soils , 2003 .

[23]  Alexandre M. Tartakovsky,et al.  Pore-scale simulations of drainage of heterogeneous and anisotropic porous media , 2007 .

[24]  J. Monaghan,et al.  Smoothed particle hydrodynamics: Theory and application to non-spherical stars , 1977 .

[25]  Patrick J. Fox,et al.  Smoothed Particle Hydrodynamics Model for Diffusion through Porous Media , 2001 .

[26]  Andrew J. Pearce,et al.  Storm Runoff generation in humid headwater catchments 2. A case study of hillslope and low-order stream response , 1986 .

[27]  S. Silliman,et al.  Impact of the Capillary Fringe on Local Flow, Chemical Migration, and Microbiology , 2004 .

[28]  Towards Pore-Scale Analysis of Preferential Flow and Chemical Transport , 1993 .

[29]  Alexandre M. Tartakovsky,et al.  Simulation of Unsaturated Flow in Complex Fractures Using Smoothed Particle Hydrodynamics , 2005 .

[30]  J. Morris,et al.  Modeling Low Reynolds Number Incompressible Flows Using SPH , 1997 .

[31]  P. Jardine,et al.  Modeling the Transport of Inorganic Ions Through Undisturbed Soil Columns from Two Contrasting Watersheds , 1988 .

[32]  R. Seright,et al.  Fluid diversion and sweep improvement with chemical gels in oil recovery processes. Final report , 1992 .

[33]  Peter K. Kitanidis,et al.  The concept of the Dilution Index , 1994 .