Shevchenko V., Shevchenko H., Chernenko A. Dynamic scheme and mathematical model of a multi-frequency vibrating sieve for drilling mud cleaning
- Details
- Parent Category: Geo-Technical Mechanics, 2024
- Category: Geo-Technical Mechanics, 2024, Issue 171
Geoteh. meh. 2024, 171, 178-189
https://doi.org/10.15407/geotm2024.171.178
DYNAMIC SCHEME AND MATHEMATICAL MODEL OF A MULTI-FREQUENCY VIBRATING SIEVE FOR DRILLING MUD CLEANING
Shevchenko V. 
Shevchenko H.
Chernenko A.
M.S. Poliakov Institute of Geotechnical Mechanics of the National Academy of Sciences of Ukraine
UDC [622.742:621.928.235]:622.24.065
Language: English
Abstract. Improving the technique and technology of cleaning drilling muds from drilled rock, increasing the speed of well drilling and improving the quality of drilling mud is an important scientific and applied problem that is of great importance for the oil and gas industry. A calculation dynamic scheme of a vibrating multi-frequency sieve for cleaning drilling muds with a limited source of excitation was developed. The vibrating sieve is a two-mass system connected to each other and to a fixed base by means of one-sided bonds of elastic and damping elements. It is the first dynamic scheme which allows to model a vibrating multi-frequency sieve as a multi-mass essentially nonlinear dynamic system with a limited source of excitation, taking into account retaining bonds and elastic limiters of a certain stiffness and viscosity, as well as gaps between the casing and the limiters. The system is characterized by two related coordinates: rotary - the angle of rotation of the rotor of the vibrator, and oscillatory - the displacement of the masses of the vibrating sieve along the x axis. Based on the dynamic scheme, a mathematical model of a vibrating multi-frequency sieve for cleaning drilling mud was first developed, which allows modeling the dynamics of the sieve as a multi-mass essentially nonlinear dynamic system. The system of equations of the model describes the movement of the masses of the system and takes into account the movement of the casing, the movement of the impactor, the forces in the retaining bonds of the casing, the forces in the retaining bonds of the impactor, the forces in the elastic limiters, the angle of rotation of the debalance, the torque on the debalance shaft, the moment of resistance to rotation of friction forces in the bearings. A computational algorithm for integrating over time the equations of motion that describe the dynamics of a multi-frequency vibrating sieve is proposed, which is based on the use of three-layer difference schemes with weights. The use of the computational algorithm for integrating the equations of motion of the analyzed dynamic system allows us to obtain time series describing the movement of concentrated masses of the dynamic system at discrete moments of time.
Keywords: vibrating multi-frequency sieve, drilling muds, cleaning, dynamic scheme, mathematical model, computational algorithm.
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About the authors:
Shevchenko Volodymyr, Doctor of Technical Sciences (D.Sc.), Professor, Scientific Secretary of the Institute, Head of Department of Vibratory Transporting Systems and Complexes, M.S. Poliakov Institute of Geotechnical Mechanics of the National Academy of Sciences of Ukraine (IGTM of the NAS of Ukraine), Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it. (Corresponding author), ORCID 0000-0002-7290-811X
Shevchenko Heorhii, Doctor of Technical Sciences (D.Sc.), Senior Researcher, Head of Department of Mechanics of Mineral Processing Machines and Processes, M.S. Poliakov Institute of Geotechnical Mechanics of the National Academy of Sciences of Ukraine (IGTM of the NAS of Ukraine), Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it. , ORCID 0000-0002-8047-7014
ChernenkoAndrii, Postgraduate Student, M.S. Poliakov Institute of Geotechnical Mechanics of the National Academy of Sciences of Ukraine (IGTM of the NAS of Ukraine), Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it. , ORCID 0009-0000-6325-6570