One of the key steps in the production well construction process is cementing the space between the casing and surrounding rocks. The depth of production wells, as a rule, exceeds 1500 m and can reach 5000 m. Therefore, the control of the cement solidi cation process is extremely important when building deep wells, and not only production wells. In this paper, we propose and justify the use of acoustic waves excited in the well to control the state of cement in the casing string. The main goal is to study the interaction of the wave eld with the cement lling the annular and near-pipe space. Particular attention is paid to the analysis of the intensity of the waves re ected from this boundary, depending on the degree of hardening of the upper edge of the cement. A distinctive feature of the problem is the presence in it of several significantly di erent spatial scales. So, the length of the well can vary from several hundred meters to several kilometers, the diameter of the well is a few tens of centimeters, and the thickness of the casing string, as a rule is a few centimeters. It is this diversity of scale that requires the organization of parallel computing, the organization of which is based on the spatial decomposition of the region and the involvement of Message Passing Interface (MPI). The results of test calculations are presented and an analysis of the strong and weak scalability of the developed software is carried out.