caa a22 4500 463163311 CHVBK 20180406164754.0 cr unu---uuuuu 170326e20070301xx s 000 0 eng 10.1007/s11242-006-0027-7 doi (NATIONALLICENCE)springer-10.1007/s11242-006-0027-7 Zijl Wouter TNO Built Environment and Geosciences, PO Box 80015, NL-3508, Utrecht, TA, The Netherlands aut Forward and inverse modeling of near-well flow using discrete edge-based vector potentials [Elektronische Daten] [Wouter Zijl] 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 Discrete exterior calculus nationallicence Inverse modeling nationallicence Mass balance exactness nationallicence Near-well region nationallicence Stream function nationallicence Vector potential nationallicence Transport in Porous Media Kluwer Academic Publishers 67/1(2007-03-01), 115-133 0169-3913 67:1<115 2007 67 11242 https://doi.org/10.1007/s11242-006-0027-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11242-006-0027-7 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Zijl Wouter TNO Built Environment and Geosciences, PO Box 80015, NL-3508, Utrecht, TA, The Netherlands aut NATIONALLICENCE 773 0- Transport in Porous Media Kluwer Academic Publishers 67/1(2007-03-01), 115-133 0169-3913 67:1<115 2007 67 11242 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer