Methods currently used to analyze pressure-transient data from layered reservoirs are investigated, and similarities and differences highlighted with emphasis on the mathemats behind the various methods. All of the basic mathematical models for single-phase flow of slightly compressible fluids in layered reservoirs are considered, allowing layers to have only horizontal flow, only vertical flow, or flow in both directions in the basic model, and allowing both uniform and mixed boundary conditions.

Generation of type curves for standard analyses and generation of synthetic data for use in history-matching procedures are considered the most important applications of the results of the paper. The results are, however, also used to show that some aspects of the characteristic behavior reported in the literature for layered reservoirs are caused by the mathematical modelling and not by reservoir layering.

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