Use of a heat conduction model to predict transient pressure behavior of complex reservoir geometries

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1970

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Abstract

The method of images constitutes an excellent technique to calculate pressure drawdown in petroleum reservoirs with geometrical irregularities like faults, etc. However in case of intersecting faults with the angle of intersection lying between 90° and 360° (except when the well is on the bisector of a 120° angle), the image well system does not apply. The pressure drawdown behaviour in such cases needs to be studied either in the actual oil field environment or on a petroleum reservoir analog. Flow equations describing heat flow in a homoge neous, isotropic heat conduction medium containing a cylindrical heat source and fluid flow in a homogeneous, isotropic petroleum reservoir are analogous phenomena. Thus a heat conduction analog can be used to simulate a petroleum reservoir. A heat conduction analog previously developed by Cecil was improved to provide better agreement with the theory. The ideality of the model was checked by conducting temperature buildup tests for various geometrical boundary systems for which the results are calculated from the method of images. Once the ideality of the heat conduction model was established, temperature buildup tests were run for various intersecting fault systems. The mathematical relation, M=360/60 Where M = Second linear slope/First linear slope, 0 = Angle between two intersecting faults proposed by Prof. P. J. Jones and limited to angles which formed integer divisors of 360°, has been proved to be applicable for all values of 9 between 0° and 360°.

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