DIMENSIONLESS PRESSURE AND PRESSURE DRIVATIVE RESPONSES OF A VERTICAL WELL COMPLETED IN A RESERVIOR WITH IMPERMEABLE BOUNCARY INCLINED AT RIGHT ANGLE
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Abstract
Dimensionless pressure and its derivatives contribute immensely to understanding the reservoir boundaries, efficient well design, production scheduling, and completion for optimum recovery from the reservoir. It is imperative to sufficiently anticipate the
presence of a reservoir border and its approach pattern towards the wellbore since such a boundary poses a constant pressure threat to the production of oil or gas. Dimensionless pressures and their derivatives for a vertical well finished inside two inclined sealing border supports are presented in this study. The inclination angle is 90 degrees or the right angle. As a result, by superimposing the dimensionless pressures of every image well onto a single object well, a generalized dimensionless pressure and derivatives expressions are obtained. Therefore, the principal inputs into the dimensionless pressures and dimensionless pressure derivatives obtained are the distances of each well from the object well and the sign of each image, taken through a counterclockwise path from the object well. Both the object's wellbore skin and its storage are taken into account. Plotting the solutions results in type curves. The results demonstrate how the angle of inclination of the sealing boundary affects dimensionless derivatives and dimensionless pressure. At late dimensionless times, the dimensionless pressures show a distinct gradient. Late dimensionless times result in a collapse of the derivatives to zero. The proximity of the well to the boundaries and the angle of inclination are critical factors determining the rate of this collapse. Notably, wells situated further from the sealing boundary exhibit prolonged periods of stable production compared to those closer to the boundary. These insights have direct implications for designing wells and managing reservoirs with inclined boundaries, potentially enhancing production longevity and efficiency.
presence of a reservoir border and its approach pattern towards the wellbore since such a boundary poses a constant pressure threat to the production of oil or gas. Dimensionless pressures and their derivatives for a vertical well finished inside two inclined sealing border supports are presented in this study. The inclination angle is 90 degrees or the right angle. As a result, by superimposing the dimensionless pressures of every image well onto a single object well, a generalized dimensionless pressure and derivatives expressions are obtained. Therefore, the principal inputs into the dimensionless pressures and dimensionless pressure derivatives obtained are the distances of each well from the object well and the sign of each image, taken through a counterclockwise path from the object well. Both the object's wellbore skin and its storage are taken into account. Plotting the solutions results in type curves. The results demonstrate how the angle of inclination of the sealing boundary affects dimensionless derivatives and dimensionless pressure. At late dimensionless times, the dimensionless pressures show a distinct gradient. Late dimensionless times result in a collapse of the derivatives to zero. The proximity of the well to the boundaries and the angle of inclination are critical factors determining the rate of this collapse. Notably, wells situated further from the sealing boundary exhibit prolonged periods of stable production compared to those closer to the boundary. These insights have direct implications for designing wells and managing reservoirs with inclined boundaries, potentially enhancing production longevity and efficiency.
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