Reservoirs of various shapes are encountered in practice. Evidence of wedges and truncated wedges has been found in Texas, Louisiana and elsewhere. In most situations, predicting the pressure distribution and transient behavior becomes very difficult due to a lack of necessary mathematical solutions. However, analytical solutions are often used for such purposes, even though it may have been necessary to compromise the geometry of the actual reservoir to obtain a solution. In the literature, analytical solutions for wedges are available. Application of these solutions very often forces the use of an approximate value of the wedge angle instead of the actual value. As a result, a considerable amount of error may be introduced into the predicted pressure responses. Moreover, no solutions for truncated wedges have been reported in the literature.

In this study, an integral-transform technique (ITT) has been used to develop new analytical solutions that overcome the limitations of the existing solutions in the literature.

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