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In this study, a horizontal well in anisotropic petroleum oil and gas reservoir with a sealed bottom and constant-pressure boundary is being investigated. The ow of petroleum oil and gas is governed by equation of continuity Darcy's law and equations of state. The combination of the above three equations gives a diusivity equation. Early radial ow, early linear ow, pseudo radial ow and late linear ow were solved by integration. The number of parameters is reduced and the results were processed by the methodof cubic spline interpolation using MATLAB. This research shows that at late linear ow period, the dimensionless time is inversely proportional to both dimensionless reservoir width and dimensionless height, but there is a constant pressure which indicates that the production of petroleum oil and gas is very low at late linear ow. Therefore the producing well is shut down for a build up. The research's conclusions are relevant to maximizing well productivity as well as to petroleum engineering.
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