Print Email Facebook Twitter Forward and inverse modeling of near-well flow using discrete edge-based vector potentials Title Forward and inverse modeling of near-well flow using discrete edge-based vector potentials Author Zijl, W. TNO Bouw en Ondergrond Publication year 2007 Abstract 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. Subject GeosciencesDiscrete 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 To reference this document use: http://resolver.tudelft.nl/uuid:7cfc0f21-73e8-4cbb-8b57-34cb78a75bd1 TNO identifier 239878 ISSN 0169-3913 Source Transport in Porous Media, 67 (1), 115-133 Document type article Files To receive the publication files, please send an e-mail request to TNO Library.