An Analytical–Numerical Model for Determining “Drill String–Wellbore” Frictional Interaction Forces
Currently, drilling of directional oil and gas wells under complex technical-technological and mining-geological conditions requires the use of drill pipes made of various materials. In turn, to choose rational modes of strengthening drill pipes and drill string layouts, information on the contact f...
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-01-01
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| Series: | Energies |
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| Online Access: | https://www.mdpi.com/1996-1073/17/2/301 |
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| author | Michał Bembenek Yaroslav Grydzhuk Bożena Gajdzik Liubomyr Ropyak Mykhaylo Pashechko Orest Slabyi Ahmed Al-Tanakchi Tetiana Pryhorovska |
| author_facet | Michał Bembenek Yaroslav Grydzhuk Bożena Gajdzik Liubomyr Ropyak Mykhaylo Pashechko Orest Slabyi Ahmed Al-Tanakchi Tetiana Pryhorovska |
| author_sort | Michał Bembenek |
| collection | DOAJ |
| description | Currently, drilling of directional oil and gas wells under complex technical-technological and mining-geological conditions requires the use of drill pipes made of various materials. In turn, to choose rational modes of strengthening drill pipes and drill string layouts, information on the contact forces and friction forces of the drill string pipes on boreholes is necessary. Drill pipe curved sections friction with boreholes and drill bit resistance moment changes are the main causes of uneven rotation of a drill string during rotary or combined drilling methods and the occurrence of parametric oscillations. To reduce the cost of mechanical energy for well wiring, it is necessary to take into account the “drill string–borehole rocks” force interaction to estimate the magnitude of the frictional forces and their influence on the technological parameters of the drilling process. To solve this problem, mathematical models of “conventionally vertical and inclined drill string sections–borehole” were built. Based on the industrial data, an analysis of the force interaction of a deformed drill string composed of pipes made of different materials (aluminum, titanium, steel) was carried out. Analytical dependences were obtained for determining the contact forces and friction of the pipes on boreholes. A numerical study of the change of these power factors depending on the depth of the well under conditions of intensive vibration loading was carried out. The amplitude values of these forces, the frequency of their change for good sections, as well as the places for the most rational installation of drill pipes in the layout of the drill string were estimated. It was established that the intensity of contact and friction forces for steel drill pipes is greater than for titanium or aluminum ones. It is shown that the greater impact of a solid steel string on contact forces and frictional forces compared to a layout with sections of titanium or aluminum pipes in the range of vibration frequencies of 8–22 Hz corresponds to a bit rotation frequency of 70–80 rpm. The practical application of the obtained research results will contribute to the improvement of technical and economic indicators of the well drilling process. |
| first_indexed | 2024-03-08T10:58:38Z |
| format | Article |
| id | doaj.art-d366ab1f8e6845c2855606ce3d95126e |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-03-08T10:58:38Z |
| publishDate | 2024-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj.art-d366ab1f8e6845c2855606ce3d95126e2024-01-26T16:15:27ZengMDPI AGEnergies1996-10732024-01-0117230110.3390/en17020301An Analytical–Numerical Model for Determining “Drill String–Wellbore” Frictional Interaction ForcesMichał Bembenek0Yaroslav Grydzhuk1Bożena Gajdzik2Liubomyr Ropyak3Mykhaylo Pashechko4Orest Slabyi5Ahmed Al-Tanakchi6Tetiana Pryhorovska7Department of Manufacturing Systems, Faculty of Mechanical Engineering and Robotics, AGH University of Krakow, 30-059 Krakow, PolandDepartment of Technical Mechanics, Ivano-Frankivsk National Technical University of Oil and Gas, 076019 Ivano-Frankivsk, UkraineDepartment of Industrial Informatics, Silesian University of Technology, 40-019 Katowice, PolandDepartment of Computerized Mechanical Engineering, Ivano-Frankivsk National Technical University of Oil and Gas, 076019 Ivano-Frankivsk, UkraineDepartment of Technology Fundamentals, Lublin University of Technology, 20-618 Lublin, PolandDepartment of Technical Mechanics, Ivano-Frankivsk National Technical University of Oil and Gas, 076019 Ivano-Frankivsk, UkraineDepartment of Well Drilling, Ivano-Frankivsk National Technical University of Oil and Gas, 076019 Ivano-Frankivsk, UkraineDepartment of Engineering and Computer Graphics, Ivano-Frankivsk National Technical University of Oil and Gas, 076019 Ivano-Frankivsk, UkraineCurrently, drilling of directional oil and gas wells under complex technical-technological and mining-geological conditions requires the use of drill pipes made of various materials. In turn, to choose rational modes of strengthening drill pipes and drill string layouts, information on the contact forces and friction forces of the drill string pipes on boreholes is necessary. Drill pipe curved sections friction with boreholes and drill bit resistance moment changes are the main causes of uneven rotation of a drill string during rotary or combined drilling methods and the occurrence of parametric oscillations. To reduce the cost of mechanical energy for well wiring, it is necessary to take into account the “drill string–borehole rocks” force interaction to estimate the magnitude of the frictional forces and their influence on the technological parameters of the drilling process. To solve this problem, mathematical models of “conventionally vertical and inclined drill string sections–borehole” were built. Based on the industrial data, an analysis of the force interaction of a deformed drill string composed of pipes made of different materials (aluminum, titanium, steel) was carried out. Analytical dependences were obtained for determining the contact forces and friction of the pipes on boreholes. A numerical study of the change of these power factors depending on the depth of the well under conditions of intensive vibration loading was carried out. The amplitude values of these forces, the frequency of their change for good sections, as well as the places for the most rational installation of drill pipes in the layout of the drill string were estimated. It was established that the intensity of contact and friction forces for steel drill pipes is greater than for titanium or aluminum ones. It is shown that the greater impact of a solid steel string on contact forces and frictional forces compared to a layout with sections of titanium or aluminum pipes in the range of vibration frequencies of 8–22 Hz corresponds to a bit rotation frequency of 70–80 rpm. The practical application of the obtained research results will contribute to the improvement of technical and economic indicators of the well drilling process.https://www.mdpi.com/1996-1073/17/2/301strengthening of drill pipesaluminum alloytitanium alloysteelrocknumerical model |
| spellingShingle | Michał Bembenek Yaroslav Grydzhuk Bożena Gajdzik Liubomyr Ropyak Mykhaylo Pashechko Orest Slabyi Ahmed Al-Tanakchi Tetiana Pryhorovska An Analytical–Numerical Model for Determining “Drill String–Wellbore” Frictional Interaction Forces Energies strengthening of drill pipes aluminum alloy titanium alloy steel rock numerical model |
| title | An Analytical–Numerical Model for Determining “Drill String–Wellbore” Frictional Interaction Forces |
| title_full | An Analytical–Numerical Model for Determining “Drill String–Wellbore” Frictional Interaction Forces |
| title_fullStr | An Analytical–Numerical Model for Determining “Drill String–Wellbore” Frictional Interaction Forces |
| title_full_unstemmed | An Analytical–Numerical Model for Determining “Drill String–Wellbore” Frictional Interaction Forces |
| title_short | An Analytical–Numerical Model for Determining “Drill String–Wellbore” Frictional Interaction Forces |
| title_sort | analytical numerical model for determining drill string wellbore frictional interaction forces |
| topic | strengthening of drill pipes aluminum alloy titanium alloy steel rock numerical model |
| url | https://www.mdpi.com/1996-1073/17/2/301 |
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