Performance of a Horizontal Well in an Anisotropic Oil Reservoir Subject to Simultaneous Double Edge Water Drive Mechanisms at Late Time Flow Regime

Pressure distribution in horizontal wells mostly involves solving the diffusivity equation. Mathematical models take into account factors like permeability anisotropy, reservoir geometry and wellbore characteristics. The models use concepts like source and Green's functions to approximate pressure behavior particularly during various flow regimes like early radial, early linear, late pseudo radial and late linear. Mostly models consider the effects of boundaries like edge and bottom water drives and well completion strategies on pressure distribution. In this study reservoir characterization and description of the reservoir system form ways of actualizing prolonged clean oil production which is fundamental in all aspects of reservoir and petroleum engineering based on dimensionless pressure and dimensionless pressure derivative distribution in horizontal wells in oil reservoirs with water drive mechanisms. MATLAB programming was deployed in solving complex models and generating pressure and pressure derivative distribution plots. Since discrete data was used, cubic spline interpolation technique was used in generating smooth curves log – log plots. The results of the study show, at dimensionless breakthrough time (t<sub>DBr</sub>), the dimensionless pressure derivative collapses to zero when dimensionless pressure exhibits a constant trend. In addition, t<sub>DBr </sub>varies as h<SUB>D</SUB>y<sub>eD</sub>/L<SUB>D </SUB>and the dimensionless pressure varies directly as x2<sub>eD</sub> and inversely as y<sub>eD</sub>, P<SUB>D</SUB> varies as x2<sub>eD</sub> / y<sub>eD</sub>. Further from this study, x<SUB>D</SUB> = x<sub>wD</sub>, y<sub>eD</sub> = 2y<SUB>D</SUB> = 2y<sub>wD</sub> and z<sub>eD</sub> = h<SUB>D</SUB> = 2z<sub>wD</sub> and prolonged L<SUB>D</SUB> mar clean oil production. The information presented in this paper will assist the reservoir and petroleum engineers in designing correctly the horizontal well in the oil reservoir in order to enhance prolonged clean oil production.