If a reservoir is layered and the layering precipitates an architecture in the form of letter ‘H’, then modeling pressure distribution or understanding the character of the influencing external boundaries can be achieved through a study of instantaneous source functions for a horizontal and vertical wells completed in the layers of the reservoir. This is the main objective of this compilation. In this paper, both crossflow and no-crossflow layers are considered, and the external boundaries are varied as sealed and constant-pressured. Only the vertically top layer has a vertical well in all the models considered.

The study shows that a two-layered reservoir of latter ‘H’ architecture has no inverted form in terms of external boundary variation, no matter the axis of symmetry considered for inversion. The reservoir architecture presents one (1) mandatory infinite-acting boundary each at the bottom and at the top of the composite, vertically-stacked reservoir. There are a maximum of two (2) opposite external boundaries in each layer that may be considered sealed or subject to external fluid drive (constant-pressure). In all, sixteen (16) different external fluid and sealed boundary combinations are possible assuming crossflow interface. Fifteen (15) different combinations of edged fluid drive are also possible assuming crossflow interface. No bottom or top external fluid drive is possible for this architecture. For crossflow interface, only one (1) architecture may be subject to double edged external fluid drive in both layers, while six (6) architectures may have double edged external fluid drive possibility for no-crossflow interface reservoir architecture. Therefore, every well enjoys an infinite-acting source strength of the kind I(z), whether the interface is sealed or permits crossflow.

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