CN-121997625-A - Vibration damping tool optimization method and device based on drill string dynamics model

CN121997625ACN 121997625 ACN121997625 ACN 121997625ACN-121997625-A

Abstract

The invention relates to the technical field of petroleum and natural gas drilling engineering, in particular to a vibration damping tool optimizing method and device based on a drill string dynamic model, which mainly solve the problems that the existing drill string dynamic model cannot effectively simulate the vibration damping effect of a vibration damper and cannot determine the arrangement interval of the vibration damper. The method comprises the steps of establishing a nonlinear vibration model of a drill string system, establishing a vibration damper rigidity replacement mathematical model, solving the nonlinear vibration model in the step S1 by adopting a finite element method to obtain dynamic response of the drill string system, changing vibration damper parameters, performing drill string vibration simulation based on the nonlinear vibration model, analyzing vibration damper vibration data under different parameters, and determining dessert intervals of vibration damper arrangement. The invention can simulate the longitudinal and transverse torsion vibration reduction effect of the vibration absorber, thereby determining the arrangement position of the vibration absorber, ensuring the drilling safety, improving the service life of the drill bit and the drilling efficiency, and providing effective reference data for reducing or inhibiting the harmful vibration of the drill string.

Inventors

JIAN YILIN
YU XIAOBO
WANG MINGZHI
YANG XIUTIAN
WANG CHUNHUA
LI PANPAN
ZHOU FANGYUAN
SUN LULU
CHEN YU

Assignees

大庆钻探工程有限公司
中国石油天然气集团有限公司

Dates

Publication Date: 20260508
Application Date: 20251023

Claims (11)

1. A method of optimizing a vibration reduction tool based on a drill string dynamics model, comprising: S1, establishing a nonlinear vibration model of a drill string system, wherein the nonlinear vibration model can characterize the coupling effect of longitudinal, transverse and torsional vibration of the drill string system; S2, establishing a mathematical model of rigidity replacement of the shock absorber; s3, solving the nonlinear vibration model in the step S1 by adopting a finite element method to obtain the dynamic response of the drill string system; And S4, changing the parameters of the vibration damper, performing drill string vibration simulation based on the nonlinear vibration model, analyzing vibration data of the vibration damper under different parameters, and determining a dessert interval of vibration damper arrangement.
2. The method for optimizing vibration damping tools based on drill string dynamics model according to claim 1, wherein the nonlinear vibration model of the drill string system in step S1 is: , , , Wherein F u is the transverse external load applied to the pole, N.m; f w -longitudinal external load to which the column is subjected, N.m; Torsional loading of the M-beam, N.m; ρ—drill string density, kg/m 3 ; A-the cross-sectional area of the drill string, m 2 ; E-elastic modulus, pa; i-section moment of inertia, m 4 ; u, v and w are the displacement of the pole in the x, y and z directions respectively, m; torsion angle, rad, generated by phi-oil pipe; ζ -nonlinear or coupling acting factor; G-shear modulus, pa; , 。
3. the method for optimizing a vibration damping tool based on a drill string dynamics model according to claim 2, wherein said step S1 comprises: S11, establishing a three-dimensional coordinate system by using a drill string system, determining displacement of any point on a cross section in the three-dimensional coordinate system along the directions of an x axis and a y axis, and when the torsion angle phi generated by an oil pipe is small, determining that the displacement field function is as follows: , wherein, the torsion angle generated by the phi-oil pipe is rad; u x -displacement in x-axis direction, m; displacement in the direction of the U y -y axis, m; u z -displacement in the z-axis direction, m; t-time, s; u, v and w respectively represent the displacement of the rod piece in the x, y and z directions, and m; s12, the strain in the displacement field of the drill string system is as follows: , Wherein: -an amount of strain in the z-axis direction; -amount of strain in xz direction; -amount of strain in yz direction; ζ -nonlinear or coupling acting factor; s13, potential energy of the drill string system is as follows: , Wherein, the potential energy of the U-drill string is J; E-elastic modulus, pa; i-section moment of inertia, m 4 ; A-the cross-sectional area of the drill string, m 2 ; G-shear modulus, pa; Gamma-shear strain, dimensionless; s14, the kinetic energy of the drill string system is as follows: , The non-conservative external force work applied to the drill string comprises three parts, namely axial force work, transverse force work and torque work, wherein the expressions are as follows: , Wherein W z is the axial force work, J; w xy -transverse force work, J; W T -torque work, J; length of the L-drill string system, m; F w (z, t) -the longitudinal external load to which the drill string is subjected, N/m; F u (z, t) -the component of the lateral external load along the x-axis, N/m, to which the drill string is subjected; f v (z, t) -the component of the lateral external load along the y-axis, N/m, to which the drill string is subjected; t (z, T) -torque to which the drill string is subjected, N/m; S15, according to a Hamilton variation formula, obtaining: , Wherein, delta-change operator, dimensionless; kinetic energy of the T-drill string, J; U-drill string potential energy, J; W-drill string acting, J; And sorting to obtain a nonlinear vibration model of the drill string system.
4. The method for optimizing vibration damping tools based on drill string dynamics model as recited in claim 3, wherein said step S11 comprises the steps of establishing a three-dimensional coordinate system by using a drill string system, wherein the displacement of any point (r, α) on the cross section in the three-dimensional coordinate system along the x-axis and the y-axis is: , wherein, the alpha-initial eccentric angle and rad; torsion angle, rad, generated by phi-oil pipe; u x -displacement in x-axis direction, m; u y -displacement in y-axis direction, m; r-centroid displacement, m; Displacement of the u-pole in the x-direction, m; v-displacement of the stem in the y direction, m; When Φ is small, cos Φ≡1, sin Φ fact 1: ; The displacement field function is: ; wherein, u z is the displacement in the z axis direction, m; t-time, s; u, v, w represent the displacement of the rod in the x, y, z directions, m, respectively.
5. The method for optimizing a vibration damping tool based on a drill string dynamics model according to claim 3, wherein said step S12 comprises: determining the strain in the displacement field, expressed as: ; Wherein: -a strain amount; ζ -nonlinear or coupling acting factor; For drill string systems, where the rod stress is primarily axial stress, then , , Wherein: -stress in x-direction, pa; -stress in y direction, pa; -shear stress in x, y direction, pa; -amount of strain in xy direction; -amount of strain in x-direction; -amount of strain in the y-direction; -an amount of strain in the z-direction; strain was obtained using einstein's summation rule.
6. The method for optimizing vibration damping tools based on drill string dynamics model according to claim 1, wherein the mathematical model of the vibration damper stiffness substitution in step S2 is: , wherein, K (i, i) -the shock absorber corresponds to the rigidity of the rigidity matrix, N/m; K z -stiffness of the shock absorber in the stiffness matrix of the drill string system, N/m.
7. The method for optimizing a vibration damping tool based on a drill string dynamics model according to claim 1, wherein the vibration damper parameters in step S4 include a vibration damper arrangement position, a vibration damper pre-load amount, and a vibration damping stiffness value.
8. The method for optimizing a vibration reduction tool based on a drill string dynamics model according to claim 7, wherein said step S4 comprises: S41, performing longitudinal and transverse torsional coupling vibration simulation of the drill string without a shock absorber based on a nonlinear vibration model of the drill string system, and recording vibration data; S42, adding a damper in the drill string system, determining a group of damper parameters, performing longitudinal and transverse torsional coupling vibration simulation of the drill string, and recording vibration data; S43, repeating the step S42 to simulate longitudinal and transverse torsional coupling vibration of the drill string, changing parameters of the vibration damper each time, and recording data respectively; s44, comparing the parameters in the steps S41 to S43 to obtain vibration reduction effects of different arrangement positions of the vibration damper, and determining the dessert interval of the vibration damper arrangement.
9. A vibration damping tool optimizing device based on a drill string dynamics model is characterized by comprising a vibration model building module, a vibration damper model building module, a calculation module and a simulation module, The vibration model building module is used for building a nonlinear vibration model of the drill string system, and the model can characterize the coupling effect of longitudinal, transverse and torsional vibration of the drill string system; the vibration damper model building module is used for building a vibration damper rigidity replacement mathematical model; The calculation module is used for solving the nonlinear vibration model to obtain the dynamic response of the drill string system; the simulation module is used for simulating vibration of the drill string, analyzing vibration data of the vibration damper under different parameters, and determining a dessert interval of vibration damper arrangement.
10. A computer-readable storage medium, comprising a stored computer program, wherein the computer program, when executed by an electronic device, performs the method of any one of claims 1 to 8.
11. An electronic device comprising a processor and a memory, wherein the memory stores at least one computer program that is loaded and executed by one or more of the processors to cause the computer to implement the vibration reduction tool optimization method of any one of claims 1-8.

Description

Vibration damping tool optimization method and device based on drill string dynamics model Technical Field The invention relates to the technical field of oil and gas drilling engineering, in particular to a vibration damping tool optimization method and device based on a drill string dynamics model. Background In complex oil and gas well drilling operations, the drill string is subjected to various complex forces including axial tension and compression, transverse bending and torsional moment, so that nonlinear vibration is generated, accidents such as fatigue fracture of the drill string, bit damage, borehole deflection and the like are caused, various challenges are brought to drilling production, and vibration of the drill string can be effectively reduced by the vibration absorber. However, the current use of the vibration damper is mainly based on field experience, and a drill string dynamics model capable of truly simulating the vibration damper effect is lacking. The existing drill string dynamic model is mostly used for simulating response trend of tools such as hydraulic oscillators and the like capable of generating exciting force, and only analyzing single axial vibration. The vibration reduction effect of the vibration absorber cannot be effectively simulated, no clear optimization arrangement interval exists, and the vibration reduction effect of the vibration absorber of the pressure-containing torsion change mechanism can be simulated by using a related dynamics model. Disclosure of Invention In order to overcome the defects in the prior art, the invention provides a vibration damping tool optimization method based on a drill string dynamics model, which can simulate the longitudinal and transverse torsion vibration damping effect of a vibration damper, thereby determining the arrangement position of the vibration damper, ensuring the drilling safety, improving the service life of a drill bit and the drilling efficiency, and providing effective reference data for slowing down or inhibiting the harmful vibration of the drill string. The technical scheme of the invention is that the vibration damping tool optimization method based on the drill string dynamics model comprises the following steps: S1, establishing a nonlinear vibration model of a drill string system, wherein the nonlinear vibration model can characterize the coupling effect of longitudinal, transverse and torsional vibration of the drill string system; S2, establishing a mathematical model of rigidity replacement of the shock absorber; s3, solving the nonlinear vibration model in the step S1 by adopting a finite element method to obtain the dynamic response of the drill string system; And S4, changing the parameters of the vibration damper, performing drill string vibration simulation based on the nonlinear vibration model, analyzing vibration data of the vibration damper under different parameters, and determining a dessert interval of vibration damper arrangement. Further, the nonlinear vibration model of the drill string system in the step S1 is: , , Wherein F u is the transverse external load applied to the pole, N.m; f w -longitudinal external load to which the column is subjected, N.m; Torsional loading of the M-beam, N.m; ρ—drill string density, kg/m 3; A-the cross-sectional area of the drill string, m 2; E-elastic modulus, pa; i-section moment of inertia, m 4; u, v and w are the displacement of the pole in the x, y and z directions respectively, m; torsion angle, rad, generated by phi-oil pipe; ζ -nonlinear or coupling acting factor; G-shear modulus, pa; ,。 further, the step S1 includes: S11, establishing a three-dimensional coordinate system by using a drill string system, determining displacement of any point on a cross section in the three-dimensional coordinate system along the directions of an x axis and a y axis, and when the torsion angle phi generated by an oil pipe is small, determining that the displacement field function is as follows: , wherein, the torsion angle generated by the phi-oil pipe is rad; u x -displacement in x-axis direction, m; displacement in the direction of the U y -y axis, m; u z -displacement in the z-axis direction, m; t-time, s; u, v and w respectively represent the displacement of the rod piece in the x, y and z directions, and m; s12, the strain in the displacement field of the drill string system is as follows: ; Wherein: -an amount of strain in the z-axis direction; -amount of strain in xz direction; -amount of strain in yz direction; ζ -nonlinear or coupling acting factor; s13, potential energy of the drill string system is as follows: , Wherein, the potential energy of the U-drill string is J; E-elastic modulus, pa; i-section moment of inertia, m 4; A-the cross-sectional area of the drill string, m 2; G-shear modulus, pa; Gamma-shear strain, dimensionless; s14, the kinetic energy of the drill string system is as follows: , The non-conservative external force work applied to the dri