Authors' reply to discussion of New solutions for well-test-analysis problems. Part 1: Analytical considerations''

This is a brief response by the original authors to a rebuttal of their original paper (SPE Formation Evaluation, Sept. 1991). The authors offer additional mathematical support to their earlier calculations of fracture flow and well pressure. The calculations are explained in defense of the original paper and graphs are provided to show the logarithmic derivative of dimensionless time and pressure to calculate conductivity and wall effects of fractures.