2000
DOI: 10.2118/62812-pa
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Approximate Model for Productivity of Nonconventional Wells in Heterogeneous Reservoirs

Abstract: Summary A semianalytical method is presented for the approximate modeling of the productivity of nonconventional wells in heterogeneous reservoirs. The approach is based on Green's functions and represents an extension of a previous model applicable for homogeneous systems. The new method, referred to as the s-k* approach, models permeability heterogeneity in terms of an effective skin s that varies along the well trajectory and a constant background permeability k*. The skin is computed thro… Show more

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Cited by 44 publications
(36 citation statements)
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“…In addition, we present a modified means for approximating the effects of heterogeneity. This new approach provides improved numerical stability over that of our previous approach (Wolfsteiner et al, 2000a(Wolfsteiner et al, , 2000b) and allows the s-k* representation to be used for the highly heterogeneous fluvial reservoir descriptions considered here. Though the models currently used for pressure losses due to wellbore friction, acceleration, inflow, and downhole chokes are relatively simple, the general framework allows for the use of any model or correlation.…”
Section: Introductionmentioning
confidence: 95%
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“…In addition, we present a modified means for approximating the effects of heterogeneity. This new approach provides improved numerical stability over that of our previous approach (Wolfsteiner et al, 2000a(Wolfsteiner et al, , 2000b) and allows the s-k* representation to be used for the highly heterogeneous fluvial reservoir descriptions considered here. Though the models currently used for pressure losses due to wellbore friction, acceleration, inflow, and downhole chokes are relatively simple, the general framework allows for the use of any model or correlation.…”
Section: Introductionmentioning
confidence: 95%
“…The semi-analytical (Green's function) representation that underlies our overall approach has been described previously (Economides et al, 1996;Maizeret, 1996;Ozkan et al, 1999;Tang et al, 2000;Wolfsteiner et al, 2000aWolfsteiner et al, , 2000b, Our description here will therefore be relatively brief and will emphasize new aspects of the formulation as well as some details required for our description of the residual and Jacobian construction below. Full details can be found in Valvatne (2000).…”
Section: Modeling Of Reservoir Inflowmentioning
confidence: 99%
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