Difference between revisions of "Transport in Porous Media"

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(Created page with 'NOTOC__ == Introduction == Many natural and technical processes involve multiphase flow processes in porous media. Despite that fact fundamental concepts of twophase flow on macr...')
 
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NOTOC__
 
NOTOC__
 
== Introduction ==
 
== Introduction ==
Many natural and technical processes involve multiphase flow
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Understanding fluid transport in natural porous media is important for many
processes in porous media. Despite that fact fundamental
+
industrial and scientific applications.  Computer simulations require accurate
concepts of twophase flow on macroscopic scales still remain unclear. The
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three-dimensional microscopic structure data as input and efficient numerical
predictive power of the most commonly used extended multiphase Darcy
+
algorithms for fluid flow simulations.  Natural porous media such as carbonates
theory is at best limited to simple problems where neither hysteresis nor
+
and clay filled sandstones exhibit heterogeneities on many scales and cannot be
dynamic effects like trapping nor varying residual saturations have a
+
modeled by existing modeling techniques.
substantial impact on the solutions.
 
  
 
== Our Project ==
 
== Our Project ==
It is known that percolating and nonpercolating fluid parts show fundamental different
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A continuum model is developed for
behavior (e.g. Abrams (1975), Avraam et al. (1995), Taber (1969), Wyckoff (1936)). This insight is incorporated
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generating synthetic microcomputer-tomography data of multiscale porous media
into a macroscopic theory which treats percolating(=connected) and nonpercolating (=nonconnected) fluid parts as separate phases. Thereby a two phase system is described by four phases.
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at arbitrary resolution. Large scale parallelized lattice-Boltzmann simulations
 +
are performed to calculate transport and material parameters.
  
The resulting set of partial differential equations is strongly coupled, highly nonlinear and of mixed type. We study these equations analytically and numerically .
 
 
== Recent results ==
 
* Initial and boundary conditions have been formulated to model experiments with a homogeneous porous column in the gravity field. The resulting 9 PDE have been solved with an adaptive moving grid PDE solver.
 
* A limiting case of immobile nonpercolating fluid phases has been formulated. Hyperbolic and parabolic limits of this case have been treated (quasi) analytically.
 
  
 
== Current Coworkers ==
 
== Current Coworkers ==
 
* Prof. Dr. [[Rudolf Hilfer]], Project supervisor
 
* Prof. Dr. [[Rudolf Hilfer]], Project supervisor
* [[Florian Doster]], PhD Student
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* [[Thomas Zauner]], PhD Student
 
 
== Collaborations ==
 
* The project is part of [http://www.nupus.uni-stuttgart.de Nupus] (International Research Training Group 'Non-linearities and Upscaling in PoroUS media').
 
* Prof. Dr. [http://www.math.uu.nl/people/zegeling/ Paul Zegeling], Department of Mathematics, Faculty of Sciences, Utrecht University
 
* Prof. Dr. [http://www.geo.uu.nl/~wwwhydro/majid.html Majid Hassanizadeh], Department of Earth Sciences, Faculty of Geosciences, Utrecht University
 
 
 
== Publications ==
 
<bibentry> hilfer06c</bibentry>
 
<bibentry> hilfer06b</bibentry>
 
<bibentry> hilfer06a</bibentry>
 
<bibentry> hilfer00h</bibentry>
 
<bibentry> hilfer00g</bibentry>
 
<bibentry> hilfer98a</bibentry>
 

Revision as of 11:33, 6 May 2009

NOTOC__

Introduction

Understanding fluid transport in natural porous media is important for many industrial and scientific applications. Computer simulations require accurate three-dimensional microscopic structure data as input and efficient numerical algorithms for fluid flow simulations. Natural porous media such as carbonates and clay filled sandstones exhibit heterogeneities on many scales and cannot be modeled by existing modeling techniques.

Our Project

A continuum model is developed for generating synthetic microcomputer-tomography data of multiscale porous media at arbitrary resolution. Large scale parallelized lattice-Boltzmann simulations are performed to calculate transport and material parameters.


Current Coworkers