Abstract:
Flow behavior thmugll a porous med,um depend, on fluid propetties as well as the
chara~teri,ti~, (}fthe medium, In a homogeneou., and i~otropic porous m(:dium. now
around a wellb",e i, gener~lly radial llI' lincar. In -lOme~a.,e,. flow "round a wellbore
may ulso become elliptical in,te"d of rudial or linear, Many authors di.,cu,,,ed the
elliptical flow behavior a«uming a vertical fracture at the center of the reservoir,
Elliptical flow may also be observed around a circular weJlbore at the center of an
anisotropi~ re,ervo;r even if thcre is no vert;eal fracture. Elliptical flow situation around
a circular wellb",e al,o occurs dllring the producl;on pha'E of cyclic .<te~mstimulmlOn
(CSS) when a ,hear lOne of enh~nced permcl1bdLtyl,\ crealed around the wellbol'e
during the injection pha,e of thb process, No dlScussion is found in petroleum literatlll'e
on elliptical Ilow hehavior with circular wcllbore at the center. This study modified the
analytical Sollilions available in litera1llre to Investigate sleady flow "round a circular
wellbore in an elliptical d()m~in.
The new model i., u.'ed 10~nnlyzc the effect of eccentricity of the elliptical domain on
ilow Me, It w~s found thm radial flow model WIll produce as much as nine percent
errol' in flow calculatioil if it is used ill ellJptical,'yslem, Using "Continuous Succe,,,ion
of Steady St~te.\" (CSSS) method. the model 1,\al,o applied to e~timme tilc depth of
inveslJgation for a 'y,tem with elliptical flow domain, Tile depth of investig"tilm in
nldi~l "nO elliplical sy'tem, ~re alw compared in thi, study. The elliptical model wa,
linLlldIn accordance with the radial model Jt eccentricity equal to zero. The Jretl of
dminage WJ~Jl<o founo to be independent of the flow mte. pressure level and ,hape of
tilCeIlipt1cnidomain.