SYSTEM AND METHOD TO TEST WELLS AT CONTINUOUSLY-VARYING PRODUCTION RATES

A method includes: accessing databases storing pressure data of a reservoir at a downhole location, temporal production data of the reservoir, petrophysical parameters, and fluid properties; creating grids comprising sections during which respective segments of temporal production data are measured, wherein each of the respective segments of temporal production data is continuous within a corresponding section of the grids, and wherein the temporal production data comprise at least one discontinuity between two neighboring sections of the grid; based on the temporal production data, petrophysical parameters, and fluid properties, computing a superposition-time function over the sections, wherein the superposition-time function is free from the at least one discontinuity; constructing a plot of the pressure data versus the computed superposition-time function; and based on the plot of the pressure data, deriving characteristics of the reservoir such that the reservoir is monitored despite the at least one discontinuity in the temporal production data.