Transient pressure and rate analysis for active and interference wells in composite systems

This paper presents mathematical solutions for well tests in heterogeneous and bounded formations. Several dozen cases are considered, and methods for developing Laplace solutions for these cases are proposed. Many of the sol utions are presented, including the following cases: a. an arbitrarily plac ed well in a three-composite concentric system, b. an arbitrarily placed we ll in a two-composite concentric system, c. solutions for two-well configur ations including interference in composite systems, and d. a specific secti on with solutions near composite linear discontinuities. Four types of acti ve wells are considered: a line-source constant-rate well, a finite-radius constant-rate well with storage and skin, a slut-test well with storage and skin, and a constant-pressure well. Active wells and interference wells ar e placed arbitrarily within the domains for most configurations presented i n this paper. In addition, boundary skins between regions are introduced as a means of simulating faults or boundaries between fluid banks. The paper ends with examples showing how the wellbore responses depend upon the inter action of various reservoir and well parameters.