Abstract: A method of producing images of the limits of a geologic reservoir from measurements of fluid pressure in a well controlled to produce from the reservoir at a constant flow rate. The measurements are taken over a period of time, which includes initiation of well flow and recorded in a plot of well pressure v. time. The method includes detecting abrupt changes in slope of the pressure v. time function, where each abrupt change signifies the arrival of a primary shock wave at a discrete section of a boundary limit of the reservoir; and calculating the minimum radial distance to the discrete section from the well bore as a function of wave travel time. The changes in the slope of the pressure v. time function are used to calculate the curvature of the boundary at the minimum radial distance.