ANALYSIS OF THE STRESS-STRAIN STATE OF THE DRILL STRING BY MATHEMATICAL AND PHYSICAL MODELING
DOI:
https://doi.org/10.31471/1993-9868-2024-2(42)-7-16Keywords:
drill string, stress-strain state, mathematical modeling, physical modeling.Abstract
The article describes the results of the study of the stress-deformed state of the drill string during its operation in the curved section of the well with the cavern. The analysis was carried out using both mathematical and physical modeling of the object and the subject of the study with next comparing the results. For the mathematical descrip tion of the drill string, a 3D solid-state modeling and the finished elements method, implemented in an automated system for engineering calculations, were used. A specially designed laboratory test bench was used for physical modeling. A copper pipe with special filler was used as a drill string model to achieve a criterion of similarity between the model and its nature. The equipment for tensometry in combination with a personal computer was used for indirect measurement of normal stresses on the surface of the copper pipe. Both methods took into account the limiting effect of the walls of the well using imitators. Own weight of the drill string, the action of the axial force and the torque were taken into account during the research. The investigations were performed with static formulation. As a result of the analysis, the magnitude of normal stresses in the cross section of the drill string over cavern for two cases was determined: a) axial force does not act; b) axial force compresses drill string. Dickson's criterion was used for statistically evaluate the results of experimental studies. This method is recommended for removal of incorrect measurement results in the case of small number of experimental data. It shows that the difference between theoretical and experimental results is a maximum of 5 %, which may indicate their correctness and possi-bility of use for practical needs. It is noted that further research can be aimed at solving a similar problem, but already in a dynamic formulation.
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