Abstract
We build a mathematical model describing the evolution of the pulse signal in the well in the presence of a longitudinal or transverse fracture in the bottomhole section. It is assumed that the signal is sent from the wellhead with a wavelength greater than the diameter of the well and the length of the open section of the well. According to the dynamics of the “echo” of the pulse signal returning to the wellhead, it is possible to judge the quality of hydraulic fracturing. The results of numerical calculations for a bell-shaped pulse are presented. It is shown that when diagnosing fractures, water is more preferable than oil as a fluid through which the signal propagates.
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