Applied Physics and Mathematics Annotation << Back INTERRELATED TEMPERATURE FIELDS IN THE FORMATION AND WELL UNDER POWDER AND PLASMA PULSE ACTION A.I. FILIPPOV, O.V. AKHMETOVA, M.A. ZELENOVA The problem of studying the temperature field caused by the combustion of a powder charge is presented as a problem for temperature in a single system “well-formation-surrounding rocks”. The asymptotic method of the formal parameter developed by the authors is used to construct analytical and numerical solutions. At the same time, in contrast to previously developed approaches, complex parametrization by transverse coordinates is used in two areas of the problem ‒ in the reservoir and the well. It is shown that a single asymptotic parameter should be used in both domains. The use of the formal asymptotic parameter method together with the integral transformation method made it possible to construct analytical solutions to new problems about temperature fields initiated by combustion of a powder charge in the well. Keywords: filtration, temperature, thermal gas generator, borehole-formation system, asymptotic method. DOI: 10.25791/pfim.03.2023.1257 Pp. 03-13.