Forward and inverse modeling of near-well flow using discrete edge-based vector potentials
article
Homogeneous effective permeabilities in the near-well region are generally obtained using analytical solutions for transient flow. In contrast, this paper focuses on heterogeneous permeability obtained from steady flow solutions, although extensions to unsteady flow are introduced too. Exterior calculus and its discretized form have been used as a guide to derive the system of algebraic equations. Edge-based vector potentials describing 3-D steady and unsteady flow without mass balance error stabilize the solution. After a physics-oriented introduction, relatively simple analytic examples of forward and inverse discrete modeling demonstrate the applicability. © Springer Science+Business Media B.V. 2006.
Topics
Discrete exterior calculusInverse modelingMass balance exactnessNear-well regionStream functionVector potentialAlgebraInverse problemsMathematical modelsMechanical permeabilitySteady flowUnsteady flowVectorsDiscrete exterior calculusEdge-based vector potentialMass balanceStream functionTransient flowFlow of waterAlgebraFlow of waterInverse problemsMathematical modelsMechanical permeabilitySteady flowUnsteady flowVectorsforward modelingpermeabilitysteady flowunsteady flowvector
TNO Identifier
239878
ISSN
01693913
Source
Transport in Porous Media, 67(1), pp. 115-133.
Pages
115-133
Files
To receive the publication files, please send an e-mail request to TNO Repository.