Drill string vibration damping method and apparatus

Abstract

The present application provides a drill string vibration damping method and apparatus. The method comprises: acquiring longitudinal vibration data and torsional vibration data of a target drill string when a vibration damping tool is run into a plurality of positions, wherein the longitudinal vibration data comprises: a hook load, a mass matrix, a stiffness matrix, a structural damping matrix, a drilling fluid damping effect matrix, a velocity vector and an acceleration vector, and the torsional vibration data comprises: a rotational acceleration vector, a rotational speed vector, a moment of inertia matrix, a torsional stiffness matrix, a torsional structural damping matrix and a torsional drilling fluid damping matrix; using a longitudinal vibration model, a torsional vibration model, the longitudinal vibration data, and the torsional vibration data to determine full-wellbore vibration intensities; and on the basis of the full-wellbore vibration intensities, selecting an optimal run-in position of the vibration damping tool from among the positions, and running the vibration damping tool into the optimal run-in position, so as to complete the vibration damping process of the target drill string.

Description

Drill string vibration reduction methods and devices

[0001] Related applications

[0002] This application claims priority to Chinese Patent Application No. 202411677600.1, filed on November 21, 2024, and incorporates the disclosure of the aforementioned patent application as part of this application. Technical Field

[0003] This application relates to the field of drilling and exploration technology, and in particular to a method and apparatus for reducing drill string vibration. Background Technology

[0004] During oil and gas exploration, an increasing number of proven oil and gas resources have been discovered buried in deep strata. Deep well and ultra-deep well drilling technology has become a trend in oil and gas development.

[0005] However, during the drilling of deep wells, ultra-deep wells, and long horizontal wells, the complex and diverse formations encountered result in high drill string vibration intensity. Frequent and severe vibrations subject the drill string to high-frequency alternating stress, easily leading to fatigue failure and serious downhole safety accidents. Secondly, drill string vibration can easily cause drill bit failure. The vibration is transmitted to the drill bit, causing it to vibrate violently and fail to break rocks smoothly. This leads to the drill bit being prone to tooth breakage and failure under vibration impact, resulting in shorter drilling footage and reduced rock breaking efficiency, causing slow project progress and extended drilling cycles.

[0006] To address this issue and improve the safety of deep well drilling operations, the common practice is to run vibration damping tools. Existing methods for reducing drill string vibration involve converting the vibration energy into the elastic potential energy and internal energy of the hydraulic oil, or into the frictional energy between springs within the damping tool. This not only wastes energy but also generates heat that can negatively impact the performance of the downhole tools. Furthermore, the placement of vibration damping tools often relies on experience, as vibration intensity varies across different well sections. Relying solely on experience cannot determine the optimal placement, potentially leading to poor or even ineffective vibration damping. Summary of the Invention

[0007] To address at least one problem in the prior art, this application proposes a drill string vibration reduction method and apparatus, which can improve the reliability of the entry position of the vibration reduction tool, thereby improving the vibration reduction effect of the drill string.

[0008] To address the aforementioned technical problems, this application provides the following technical solution:

[0009] In a first aspect, this application provides a drill string vibration reduction method, comprising:

[0010] The longitudinal vibration data and torsional vibration data corresponding to the target drill string at multiple positions when the vibration damping tool is inserted into the target drill string are obtained respectively. The longitudinal vibration data includes: hook load, mass matrix, stiffness matrix, structural damping matrix, drilling fluid damping effect matrix, velocity vector and acceleration vector. The torsional vibration data includes: rotational acceleration vector, rotational speed vector, rotational inertia matrix, torsional stiffness matrix, torsional structural damping matrix and torsional drilling fluid damping matrix.

[0011] By applying a pre-built longitudinal vibration model, a pre-built torsional vibration model, and longitudinal and torsional vibration data corresponding to the target drill string when the vibration damping tool is lowered to each of the aforementioned positions, the vibration intensity of the target drill string throughout the well section when the vibration damping tool is lowered to that position is determined.

[0012] Based on the vibration intensity of the target drill string throughout the well section when the vibration damping tool is lowered to each of the aforementioned positions, the optimal lowering position of the vibration damping tool is selected from the aforementioned positions, and the vibration damping tool is lowered to the optimal lowering position to complete the vibration damping process of the target drill string.

[0013] Secondly, this application provides a drill string vibration damping device, comprising:

[0014] The acquisition module is used to acquire longitudinal vibration data and torsional vibration data corresponding to multiple positions of the target drill string when the vibration damping tool is inserted into the target drill string. The longitudinal vibration data includes: hook load, mass matrix, stiffness matrix, structural damping matrix, drilling fluid damping effect matrix, velocity vector and acceleration vector. The torsional vibration data includes: rotational inertia matrix, torsional stiffness matrix, torsional structural damping matrix and torsional drilling fluid damping matrix.

[0015] The determination module is used to apply a pre-built longitudinal vibration model, a pre-built torsional vibration model, and longitudinal and torsional vibration data corresponding to the target drill string when the vibration damping tool is lowered to each of the aforementioned positions, to determine the vibration intensity of the target drill string throughout the well section when the vibration damping tool is lowered to that position;

[0016] The vibration reduction module is used to select the optimal insertion position of the vibration reduction tool from each of the positions based on the vibration intensity of the target drill string throughout the well section when the vibration reduction tool is inserted to each of the positions. The vibration reduction tool is inserted to the optimal insertion position to complete the vibration reduction process of the target drill string.

[0017] Thirdly, this application provides an electronic device, including a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the processor executes the program to implement the drill string vibration reduction method.

[0018] Fourthly, this application provides a computer-readable storage medium storing computer instructions thereon, which, when executed by a processor, implement the drill string vibration reduction method.

[0019] As can be seen from the above technical solution, this application provides a method and device for reducing drill string vibration. The method includes: acquiring longitudinal vibration data and torsional vibration data corresponding to multiple positions of the target drill string when the vibration damping tool is lowered into the target drill string; the longitudinal vibration data includes: hook load, mass matrix, stiffness matrix, structural damping matrix, drilling fluid damping effect matrix, velocity vector, and acceleration vector; the torsional vibration data includes: rotational acceleration vector, rotational speed vector, rotational inertia matrix, torsional stiffness matrix, torsional structural damping matrix, and torsional drilling fluid damping matrix; applying a pre-constructed longitudinal vibration model, a pre-constructed torsional vibration model, and the longitudinal vibration data and torsional vibration data corresponding to the target drill string when the vibration damping tool is lowered into each of the aforementioned positions to determine the overall wellbore vibration intensity of the target drill string when the vibration damping tool is lowered into that position; based on the overall wellbore vibration intensity of the target drill string when the vibration damping tool is lowered into each of the aforementioned positions, selecting the optimal lowering position of the vibration damping tool from among the aforementioned positions to control the lowering tool to be lowered into the optimal lowering position, thereby completing the vibration damping process of the target drill string. Based on this, the drill string vibration reduction method and device of this application can improve the reliability of the entry position of the vibration reduction tool, thereby improving the effect of drill string vibration reduction; specifically, it can not only consider the longitudinal vibration of the drill string, but also the torsional vibration of the drill string at the same time, and can comprehensively evaluate the vibration intensity of the entire well section of the drill string, thereby improving the drilling efficiency and safety of deep and ultra-deep wells. Attached Figure Description

[0020] To more clearly illustrate the technical solutions in the embodiments of this application or the prior art, the drawings used in the description of the embodiments or the prior art will be briefly introduced below. Obviously, the drawings described below are only some embodiments of this application. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.

[0021] Figure 1 is a schematic diagram of the first process of the drill string vibration reduction method in the embodiment of this application;

[0022] Figure 2 is a schematic diagram of the second process of the drill string vibration reduction method in the embodiment of this application;

[0023] Figure 3 is the force diagram of the i-th concentrated mass block in the application example of this application;

[0024] Figure 4 is a flowchart illustrating the drill string vibration reduction method in an application example of this application;

[0025] Figure 5 is a schematic diagram of the drill string vibration reduction device in the embodiment of this application;

[0026] Figure 6 is a schematic diagram of the structure of the determining module in an embodiment of this application;

[0027] Figure 7 is a schematic diagram of the drill string vibration reduction system in an embodiment of this application;

[0028] Figure 8 is a structural schematic diagram of the vibration damping tool in an application example of this application;

[0029] Figure 9 is a schematic block diagram of the system configuration of an electronic device according to an embodiment of this application. Detailed Implementation

[0030] To enable those skilled in the art to better understand the technical solutions in this specification, the technical solutions in the embodiments of this application will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of this application, and not all embodiments. Based on the embodiments in this application, all other embodiments obtained by those of ordinary skill in the art without creative effort are within the scope of protection of this application.

[0031] Drill string vibration is a particularly prominent issue during the actual drilling of deep and ultra-deep wells. It not only affects drilling efficiency but also poses serious safety risks. Frequent and severe vibrations cause alternating stress on the drill string, leading to fatigue fracture and increased construction costs, resulting in significant economic losses. Existing methods to mitigate drill string vibration utilize shock absorbers to convert vibration energy into the elastic potential energy and internal energy of hydraulic oil, or into frictional energy between springs within the shock absorber. However, this not only wastes energy but also generates heat that can negatively impact the performance of downhole tools.

[0032] Based on this, the embodiments of this application propose a drill string vibration reduction method and device, which can realize integrated drill string vibration reduction in deep and ultra-deep wells, improve drilling efficiency and safety in deep and ultra-deep wells, and not only consider the longitudinal vibration of the drill string, but also the torsional vibration of the drill string, so as to comprehensively evaluate the vibration intensity of the drill string throughout the entire well section.

[0033] The following examples illustrate this in detail.

[0034] To improve the reliability of the insertion position of the vibration damping tool and thus enhance the vibration damping effect of the drill string, this embodiment provides a drill string vibration damping method in which the execution subject is a drill string vibration damping device. This drill string vibration damping device includes, but is not limited to, a server and vibration damping tools, as shown in Figure 1. The method specifically includes the following:

[0035] Step 100: Obtain the longitudinal vibration data and torsional vibration data corresponding to the target drill string at multiple positions when the vibration damping tool is lowered into the target drill string. The longitudinal vibration data includes: hook load, mass matrix, stiffness matrix, structural damping matrix, drilling fluid damping effect matrix, velocity vector, and acceleration vector. The torsional vibration data includes: rotational acceleration vector, rotational speed vector, rotational inertia matrix, torsional stiffness matrix, torsional structural damping matrix, and torsional drilling fluid damping matrix.

[0036] Specifically, multiple locations on the target drill string can be the threaded connections of the drill pipe, and these locations can be pre-specified based on actual conditions. The drill string can be represented as a series of discrete point masses connected by springs and dampers; the locations of these discrete point masses are the concentrated mass blocks. The concentrated mass blocks are generally located at the threaded connections of the drill pipe, and the drill string can be composed of approximately 9 meters of drill pipe connected together. Vibration damping tools, also known as shock absorbers, vibration damping tools, or bottom hole drill string vibration damping and energy-enhancing devices, can be existing vibration damping tools.

[0037] Specifically, longitudinal vibration data and torsional vibration data can be obtained, for example, from sensors connected to a server. The mass matrix can be composed of the masses of multiple concentrated mass blocks corresponding to the target drill string; the stiffness matrix is ​​composed of the connection stiffness between adjacent concentrated mass blocks; the structural damping matrix is ​​based on the structural damping between adjacent concentrated mass blocks; the drilling fluid damping effect matrix is ​​composed of the mud damping coefficients of each concentrated mass block; the velocity vector is composed of the velocities of each concentrated mass block; and the acceleration vector is composed of the accelerations of each concentrated mass block. The moment of inertia matrix can be composed of the moments of inertia of multiple concentrated mass blocks corresponding to the target drill string; the torsional stiffness matrix is ​​composed of the shear stiffness between adjacent concentrated mass blocks; the torsional structural damping matrix is ​​composed of the shear damping between adjacent concentrated mass blocks; the torsional drilling fluid damping matrix is ​​composed of the torsional drilling fluid damping of each concentrated mass block; the rotational acceleration vector is composed of the rotational acceleration of each concentrated mass block; and the rotational speed vector is composed of the rotational speed of each concentrated mass block.

[0038] Step 200: Using the pre-built longitudinal vibration model, the pre-built torsional vibration model, and the longitudinal and torsional vibration data corresponding to the target drill string when the vibration damping tool is lowered to each position, determine the vibration intensity of the entire well section when the target drill string is lowered to that position.

[0039] Step 300: Based on the vibration intensity of the target drill string throughout the well section when the vibration damping tool is lowered to each position, select the optimal lowering position of the vibration damping tool from each position, lower the vibration damping tool to the optimal lowering position, and complete the vibration damping process of the target drill string.

[0040] To improve the reliability of determining the vibration intensity of the entire well section, in one embodiment, as shown in Figure 2, step 200 includes:

[0041] Step 201: Using the pre-built longitudinal vibration model and the longitudinal vibration data of the target drill string at each position when the vibration damping tool is lowered, determine the displacement vector of the target drill string at that position.

[0042] Step 202: Based on the pre-built torsional vibration model and the torsional vibration data of the target drill string when the vibration damping tool is lowered to each position, determine the torsional angle vector of the target drill string when the vibration damping tool is lowered to that position.

[0043] Step 203: Determine the stress distribution of the target drill string at each position when the vibration damping tool is lowered, based on the displacement vector and torsional angle vector corresponding to the target drill string at each position.

[0044] Step 204: Based on the stress distribution of the target drill string at each position when the vibration damping tool is lowered, determine the vibration intensity of the entire well section when the target drill string is lowered to that position.

[0045] (i) During the contact stage between the drill bit and the bottom of the well, the pre-constructed longitudinal vibration model can be:

[0046] Where [M] represents the submass matrix consisting of the first N-1 rows and first N-1 columns of the mass matrix, ü represents the vector consisting of the first N-1 elements of the acceleration vector, and [C] represents the substructural damping matrix consisting of the first N-1 rows and first N-1 columns of the structural damping matrix. [α] represents the vector consisting of the first N-1 elements of the velocity vector, [K] represents the viscous damping coefficient, which is related to the drilling fluid properties, [U] represents the stiffness matrix consisting of the first N-1 rows and first N-1 columns of the mass matrix, u represents the vector consisting of the first N-1 elements of the displacement vector, F represents the load vector, P represents the hook load, and m N-2 Let g represent the mass of the (N-2)th concentrated mass block, g represent the acceleration due to gravity, and c represent the acceleration due to gravity. N-1 This represents the structural damping between the (N-1)th lumped mass block and the Nth lumped mass block. Let k represent the velocity of the Nth concentrated mass block. N-1 u represents the connection stiffness between the (N-1)th lumped mass block and the Nth lumped mass block. bThis represents the displacement of the Nth concentrated mass block. During the contact stage between the drill bit and the bottom of the well, the displacement of the drill bit mass point, i.e., the displacement of the Nth concentrated mass block, can be equal to the undulation of the bottom of the well, and the velocity of the drill bit mass point, i.e., the velocity of the Nth concentrated mass block, can be equal to the rate of change of the undulation of the bottom of the well. Therefore, during the contact stage between the drill bit and the bottom of the well, the displacement vector can be obtained by applying only the pre-constructed longitudinal vibration model to solve for the displacement of the first N-1 concentrated mass blocks.

[0047] (ii) During the stage when the drill bit is not in contact with the bottom of the well, the pre-constructed longitudinal vibration model can be: F = [-P + m1g m2g m3g …… m] N-1 gm b gP b ] T

[0048] Where [M] represents the mass matrix, u represents the acceleration vector, [C] represents the structural damping matrix, and [α] represents the viscous damping coefficient, which is related to the drilling fluid properties. [K] represents the velocity vector, [K] represents the stiffness matrix, u represents the displacement vector, F represents the load vector, P represents the load, and m represents the torque vector. N-2 Let P represent the mass of the (N-2)th concentrated mass block, g represent the acceleration due to gravity, and P represent the acceleration due to gravity. b This indicates drilling pressure.

[0049] The mass matrix can be:

[0050] Where, m N-1 Let m represent the mass of the (N-1)th lumped mass block. b Let represent the mass of the Nth lumped mass block, which can be equated to the drill bit. The structural damping matrix can be:

[0051] Among them, c N-1 This represents the structural damping between the (N-1)th and Nth concentrated mass blocks. The drilling fluid damping effect matrix can be:

[0052] Where, α N-1 α represents the mud damping coefficient of the (N-1)th concentrated mass block. b This represents the mud damping coefficient of the Nth concentrated mass block. The stiffness matrix can be:

[0053] Where, k N-1 This represents the connection stiffness between the (N-1)th lumped mass block and the Nth lumped mass block.

[0054] The acceleration vector can be: ü = [ü1 ü2 ü3 …… ü] N-1 ü b ] T , ü N-1 ü represents the acceleration of the (N-1)th concentrated mass block. b This represents the acceleration of the Nth concentrated mass block.

[0055] The velocity vector can be: This represents the velocity of the (N-1)th concentrated mass block. This represents the velocity of the Nth concentrated mass block.

[0056] The displacement vector can be: u = [u1 u2 u3 …… u N-1 u b ] T ,u N-1 u represents the displacement of the (N-1)th lumped mass block. b This represents the displacement of the Nth concentrated mass block.

[0057] It is understandable that when the vibration damping tool is lowered to any of the aforementioned positions A, the current hook load, mass matrix, stiffness matrix, structural damping matrix, drilling fluid damping effect matrix, velocity vector, and acceleration vector of the target drill string can be input into the pre-built longitudinal vibration model to obtain the displacement of each concentrated mass block of the target drill string when the vibration damping tool is lowered to position A.

[0058] During the contact phase between the drill bit and the bottom of the well, the force at the corrected drill bit location can be expressed as: The mass matrix, stiffness matrix, structural damping matrix, and drilling fluid damping effect matrix are all taken from the first (N-1) rows and columns, and the velocity vector and acceleration vector are all taken from the first (N-1) elements. Substituting these into the longitudinal vibration model, the displacement vector is: u = [u1 u2 u3 …… u N-2 u N-1 ] T Among them, c N-1 This represents the structural damping between the (N-1)th lumped mass block and the Nth lumped mass block. Let k represent the velocity of the Nth concentrated mass block. N-1 u represents the connection stiffness between the (N-1)th lumped mass block and the Nth lumped mass block. b This represents the displacement of the Nth concentrated mass block.

[0059] (iii) The pre-constructed torsional vibration model can be:

[0060] T = [k1] τ ωt+c1τ ω 0 …… 0 -T b ] T

[0061] Where [J] represents the moment of inertia matrix, Represents the rotational acceleration vector, [C τ ] represents the torsional damping matrix, [α τ [K] represents the torsional drilling fluid damping matrix. τ ] represents the torsional stiffness matrix. Let k1 represent the rotational speed vector, θ represent the torsional angle vector, and k1 represent the rotational speed vector. τ c1 represents the shear stiffness between the first and second concentrated mass blocks. τ ω represents the shear damping between the first and second concentrated mass blocks, t represents the ground rotational speed, and T represents time. b This indicates the drill bit torque.

[0062] The moment of inertia matrix can be:

[0063] Among them, J N-1 J represents the moment of inertia of the (N-1)th lumped mass block. b Let represent the moment of inertia of the Nth concentrated mass block. The torsional damping matrix can be:

[0064] Among them, c N-1 τ This represents the shear damping between the (N-1)th and Nth concentrated mass blocks. The torsional drilling fluid damping matrix can be:

[0065] Where, α N-1 τ Let α represent the torsional drilling fluid damping of the (N-1)th concentrated mass block. b τ This represents the torsional drilling fluid damping of the Nth concentrated mass block. The torsional stiffness matrix can be:

[0066] Where, k N-1 τ This represents the shear stiffness between the (N-1)th concentrated mass block and the Nth concentrated mass block.

[0067] The rotational acceleration vector can be: This represents the rotational acceleration of the (N-1)th concentrated mass block. This represents the rotational acceleration of the Nth concentrated mass block.

[0068] The rotational speed vector can be This represents the rotational speed of the (N-1)th lumped mass block. This represents the rotational speed of the Nth concentrated mass block.

[0069] The twist angle vector can be: θ = [θ2 θ3 …… θ] N-1 θ b ] T ,θ N-1 θ represents the torsion angle of the (N-1)th concentrated mass block. b This represents the torsion angle of the Nth concentrated mass block.

[0070] To further improve the reliability of determining the placement position of the vibration damping tool, in one embodiment of this application, step 300, which selects the optimal placement position of the vibration damping tool from each position based on the overall well vibration intensity of the target drill string at each placement position, includes: selecting the lowest overall well vibration intensity value from the overall well vibration intensity values ​​of the target drill string at each placement position, and determining the position corresponding to the lowest overall well vibration intensity value as the optimal placement position of the vibration damping tool.

[0071] To further illustrate this solution, this application provides an application example of a drill string vibration reduction method, as described in detail below:

[0072] Step 1: Construction of the longitudinal vibration model:

[0073] Establish dynamic equations that conform to Newton's second law at each lumped mass block. The first lumped mass block satisfies the following equilibrium equation:

[0074] In this embodiment, m1 is the mass of the first concentrated mass block, k1 is the connection stiffness between the first and second concentrated mass blocks, c1 is the structural damping of the tubing between the first and second concentrated mass blocks, α1 is the mud damping coefficient of the tubing segment of the first concentrated mass block, P is the hook load, g is the acceleration due to gravity, and u2 and u1 are the displacements of the first and second concentrated mass blocks, respectively. and The velocities are the first and second concentrated mass blocks, respectively, and ü1 is the acceleration of the first concentrated mass block.

[0075] As shown in Figure 3, the force analysis is performed on the i-th concentrated mass block. It can be seen that the i-th concentrated mass block satisfies the following equilibrium equation:

[0076] In the above formula, i = 2, 3, 4, ..., N-1.

[0077] The Nth lumped mass block satisfies the following dynamic equation:

[0078] Among them, P b This is the force exerted by the drilling fluid pressure at the bottom of the well on the bottom of the drill string; its value is approximately equal to the buoyancy of the entire tubing submerged in the drilling fluid. b α represents the displacement of the drill bit node; b f is the drilling fluid damping experienced at the drill bit node; wob This is the axial force exerted on the drill bit by the rock. According to Newton's third law, it reflects the magnitude of the instantaneous drilling pressure exerted by the drill bit on the rock surface at the bottom of the well. Its value is unknown. The Nth concentrated mass block can be considered equivalent to the drill bit. Combining equations (1-2) to (1-3), we can obtain a system of N second-order ordinary differential equations (1-4):

[0079] In other words, the dynamic equations at each concentrated mass block can be expanded to construct matrix equations, resulting in a set of N second-order ordinary differential equations. These N sets of second-order ordinary differential equations can be equivalent to the matrix form of the dynamic equations for axial vibration, or they can be equivalent to the longitudinal vibration model described above.

[0080] During the drill bit jumping off the bottom of the well, the above equation is an N×N matrix equation, and the coefficient matrices are represented by the following equations (1-5 to 1-8). The mass matrix for axial vibration is:

[0081] The stiffness matrix is ​​expressed as:

[0082] The structural damping matrix is ​​expressed as:

[0083] The drilling fluid damping effect is expressed as:

[0084] F is the load vector, expressed as: F=[-P+m1g m2g m3g … … m N-1 gm b gP b ] T (1-9)

[0085] u is a displacement vector, expressed as: u=[u1 u2 u3 … … u N-1 u b ] T (1-10)

[0086] During the contact stage between the drill bit and the bottom of the well, the concentrated mass of the drill bit satisfies the geometric relationship of equation (1-4) above. Therefore, the dynamic equation of the tubing string is expressed as a (N-1)×(N-1) matrix equation. Its form is as shown in equation (1-4) above, and the coefficient matrix is ​​the (N-1) rows and columns of equations (1-5 to 1-8) above. At this time, the load vector is expressed as:

[0087] At this point, the displacement vector at the concentrated mass block of the tubular column is expressed as: u=[u1 u2 u3 … … u N-2 u N-1 ] T (1-12)

[0088] Step 2: Construct a torsional vibration model.

[0089] In torsional vibration analysis, the tubular column is discretized into N concentrated mass points with uniform rotational inertia. Since the boundary condition at the top boundary is assumed to be a constant rotational speed, the motion state of the first concentrated mass block is determined; its rotational speed is constant, and there is no need to establish its dynamic equilibrium equation. Therefore, the vibration equation for torsional vibration will be used to solve for the torsional deformation of the N-1 concentrated mass points. Similar to solving the dynamic equilibrium equation for axial vibration, the dynamic equilibrium equation for torsional vibration at the nodes is obtained by solving for the torque using Newton's second law:

[0090] Among them, J i Let θ represent the moment of inertia of the i-th concentrated mass block. i Let k represent the rotational speed of the i-th concentrated mass block. i τ c represents the shear stiffness between the i-th lumped mass block and the (i+1)-th lumped mass block. i τ Let represent the shear damping between the i-th concentrated mass block and the (i+1)-th concentrated mass block, where i = 2, 3, 4, ..., N-1. The dynamic equation at the drill bit, i.e., the N-th concentrated mass block, is expressed as:

[0091] Therefore, the equilibrium equations for the torsional vibration of the system can be written in matrix form as follows:

[0092] Among them, θ=[θ2 θ3 … … θ N-1 θ b ] T (1-16) T=[k1 τ ωt+c1 τ ω 0 … … 0 -Tb ] T (1-17)

[0093] Where ω is the ground rotational speed, which is the rotational speed of the first concentrated mass block. The coefficient matrix of matrix equation (1-15) is represented by the following equations (1-18 to 1-21). The moment of inertia matrix is ​​expressed as:

[0094] The torsional stiffness matrix is ​​expressed as:

[0095] The torsional damping matrix is ​​expressed as:

[0096] The torsional drilling fluid damping matrix is ​​expressed as:

[0097] Step 3: Determine the optimal insertion position of the vibration damping tool to complete the drill string vibration damping.

[0098] Specifically, the longitudinal vibration equilibrium equations (1-4) and torsional vibration equilibrium equations (1-15) are in the form of matrix coefficient second-order ordinary differential equations, with a coefficient matrix of N×N. Given initial and load conditions, they can be obtained through numerical integration. The directly obtained results are the axial displacement and torsional angle at each concentrated mass block position of the drill string. Post-processing of these direct results yields the stress distribution of the drill string, allowing for strength evaluation. The above drill string dynamics analysis is repeated and compared at different locations to obtain the optimal insertion position for the vibration damping tool.

[0099] To further illustrate this solution, this application provides an application example of a drill string vibration reduction method, as shown in Figure 4. The method is described in detail below:

[0100] Initialize / update t i Time axis torsion data, check t i Given the axial vibration state at any given time, determine if it's in contact or has broken off. If it's in contact, check t. i Given the constant torsional vibration state, determine whether it's slipping or viscous. If it's slipping, calculate the torsional vibration state: using t... i Calculate the sliding friction torque of the drill bit at the given moment and velocity; if it is viscous, calculate the torsional vibration state: fix the drill bit node; check t. i+1 The torsional vibration state at time t i Are the states consistent at time? If not, correct: using t i+1 The torsional vibration is recalculated at each time step, and there is a change in the torsional vibration state at the current time step; if it jumps, the torsional vibration state is calculated as: zero torque sliding friction of the drill bit.

[0101] In determining ti+1 The torsional vibration state at time t i Consistent state at all times, determining zero torque sliding friction of the drill bit, with t i+1 After recalculating the torsional vibration at time t, check t i Continuously monitor the torsional vibration state to determine contact / separation. If it's separation, calculate the axial vibration model: no contact between the drill bit and rock. If it's contact, calculate the axial vibration model: kinematic coupling between the drill bit and rock. Check t. i+1 Axial vibration state at time t i Are the states consistent at time t? If yes, then determine whether the simulation has ended. i+1 Axial vibration state at time t i If the states at different times are inconsistent, corrections are made: using t i+1 The axial vibration is recalculated at each time step. If there is a change in the axial vibration state at the current time step, the simulation is checked to determine whether it has ended. The axial vibration model can perform the same function as the longitudinal vibration model described above.

[0102] From a software perspective, in order to improve the reliability of the insertion position of the vibration damping tool and thus improve the vibration damping effect of the drill string, this application provides an embodiment of a drill string vibration damping device for implementing all or part of the drill string vibration damping method. Referring to Figure 5, the drill string vibration damping device specifically includes the following components:

[0103] The acquisition module 01 is used to acquire longitudinal vibration data and torsional vibration data corresponding to the target drill string at multiple positions when the vibration damping tool is lowered into the target drill string. The longitudinal vibration data includes: hook load, mass matrix, stiffness matrix, structural damping matrix, drilling fluid damping effect matrix, velocity vector and acceleration vector. The torsional vibration data includes: rotational inertia matrix, torsional stiffness matrix, torsional structural damping matrix and torsional drilling fluid damping matrix.

[0104] The determination module 02 is used to determine the vibration intensity of the entire well section when the vibration damping tool is lowered to each position by applying the pre-built longitudinal vibration model, the pre-built torsional vibration model, the longitudinal vibration data and torsional vibration data corresponding to the target drill string when the vibration damping tool is lowered to each position.

[0105] The vibration reduction module 03 is used to select the optimal entry position of the vibration reduction tool from each position based on the vibration intensity of the target drill string throughout the well section when the vibration reduction tool is lowered to each position. The vibration reduction tool is then lowered to the optimal entry position to complete the vibration reduction process of the target drill string.

[0106] As shown in Figure 6, in one embodiment, the determining module includes:

[0107] The displacement vector unit 021 is used to determine the displacement vector of the target drill string when the vibration damping tool is lowered to each position by applying the pre-built longitudinal vibration model and the longitudinal vibration data of the target drill string at each position.

[0108] The torsional angle vector unit 022 is used to determine the torsional angle vector of the target drill string when the vibration damping tool is lowered to each position, based on the pre-built torsional vibration model and the torsional vibration data corresponding to the target drill string when the vibration damping tool is lowered to each position.

[0109] The stress distribution unit 023 is used to determine the stress distribution of the target drill string when the vibration damping tool is lowered to each position, based on the displacement vector and torsional angle vector corresponding to the target drill string when the vibration damping tool is lowered to each position.

[0110] Vibration intensity determination unit 024 is used to determine the vibration intensity of the entire well section when the vibration damping tool is lowered to each position of the target drill string, based on the stress distribution of the target drill string at each position.

[0111] In one embodiment, the vibration damping module includes:

[0112] The optimal entry position unit is used to select the lowest vibration intensity value in the entire well section from the vibration intensity values ​​of the target drill string when the vibration damping tool is entered at various positions. The position corresponding to the lowest vibration intensity value in the entire well section is determined as the optimal entry position of the vibration damping tool.

[0113] In one embodiment, the mass matrix consists of the mass of multiple concentrated mass blocks corresponding to the target drill string, the stiffness matrix consists of the connection stiffness between adjacent concentrated mass blocks, the structural damping matrix is ​​based on the structural damping between adjacent concentrated mass blocks, the drilling fluid damping effect matrix consists of the mud damping coefficient of each concentrated mass block, the velocity vector consists of the velocity of each concentrated mass block, and the acceleration vector consists of the acceleration of each concentrated mass block.

[0114] In one embodiment, during the drill bit-to-bottom contact phase, the pre-constructed longitudinal vibration model is as follows:

[0115] Where [M] represents the submass matrix consisting of the first N-1 rows and first N-1 columns of the mass matrix, u represents the vector consisting of the first N-1 elements of the acceleration vector, and [C] represents the substructural damping matrix consisting of the first N-1 rows and first N-1 columns of the structural damping matrix. Let u represent the vector consisting of the first N-1 elements of the velocity vector, let F represent the vector consisting of the first N-1 elements of the displacement vector, let P represent the load vector, and let m represent the load vector.N-2 Let g represent the mass of the (N-2)th concentrated mass block, g represent the acceleration due to gravity, and c represent the acceleration due to gravity. N-1 This represents the structural damping between the (N-1)th lumped mass block and the Nth lumped mass block. Let k represent the velocity of the Nth concentrated mass block. N-1 u represents the connection stiffness between the (N-1)th lumped mass block and the Nth lumped mass block. b This represents the displacement of the Nth concentrated mass block.

[0116] In one embodiment, during the stage when the drill bit is not in contact with the bottom of the well, the pre-constructed longitudinal vibration model is as follows: F = [-P + m1g m2g m3g …… m] N-1 gm b gP b ] T

[0117] Where [M] represents the mass matrix, u represents the acceleration vector, and [C] represents the structural damping matrix. Let u represent the velocity vector, F represent the displacement vector, P represent the load vector, and m represent the load. N-2 Let P represent the mass of the (N-2)th concentrated mass block, g represent the acceleration due to gravity, and P represent the acceleration due to gravity. b This indicates drilling pressure.

[0118] In one embodiment, the moment of inertia matrix is ​​composed of the moments of inertia of multiple concentrated mass blocks corresponding to the target drill string, the torsional stiffness matrix is ​​composed of the shear stiffness between adjacent concentrated mass blocks, the torsional structural damping matrix is ​​composed of the shear damping between adjacent concentrated mass blocks, the torsional drilling fluid damping matrix is ​​composed of the torsional drilling fluid damping of each concentrated mass block, the rotational acceleration vector is composed of the rotational acceleration of each concentrated mass block, and the rotational speed vector is composed of the rotational speed of each concentrated mass block.

[0119] In one embodiment, the pre-constructed torsional vibration model is as follows: T = [k1] τ ωt+c1 τ ω 0…… 0 -T b ] T

[0120] Where [J] represents the moment of inertia matrix, Represents the rotational acceleration vector, [C τ ] represents the torsional damping matrix, [α τ [K] represents the torsional drilling fluid damping matrix. τ ] represents the torsional stiffness matrix. Let k1 represent the rotational speed vector, θ represent the torsional angle vector, and k1 represent the rotational speed vector. τc1 represents the shear stiffness between the first and second concentrated mass blocks. τ ω represents the shear damping between the first and second concentrated mass blocks, t represents the ground rotational speed, and T represents time. b This indicates the drill bit torque.

[0121] The embodiments of the drill string vibration reduction device provided in this specification can be used to execute the processing flow of the embodiments of the drill string vibration reduction method described above. Its functions will not be repeated here, but can be referred to the detailed description of the embodiments of the drill string vibration reduction method described above.

[0122] To further illustrate this solution, this application provides an application example of a drill string vibration reduction system. As shown in Figure 7, this system includes a logging instrument 102, a logging instrument connection device 103, and a drill string vibration reduction device. The drill string vibration reduction device may include a drill string vibration prediction module 101, a central processing computer 104, and a client computer 105. The drill string vibration prediction module can be a server. The drill string vibration prediction module, the central processing computer, and the client computer are connected sequentially, as are the logging instrument, the logging instrument connection device, and the central processing computer.

[0123] The drill string vibration prediction module is used to input drilling engineering information, calculate the vibration distribution pattern of the drill string throughout the well section, design the placement of vibration reduction and energy enhancement tools, and transmit this information to the central processing computer. The logging instrument can connect to the central processing computer to perform real-time drill string vibration risk assessment, specify vibration reduction schemes, compare the results with the predicted drill string vibration, and optimize the placement of vibration reduction tools. The central processing computer can then transmit the generated drill string vibration reduction scheme and tool placement scheme to the client computer in real time, enabling on-site tool deployment for drill string vibration reduction operations.

[0124] Furthermore, as shown in Figure 8, this application also provides an application example of a vibration damping tool, which can be applied to drill string vibration damping methods. In this application example, the vibration damping tool includes: a tool upper connector 1; a mandrel 2; an upper sealing assembly gland 3; an upper sealing assembly 4; a splined outer cylinder 5; a limiting body 6; an externally fitted protective sleeve 7; a spring 8; a tool center connector 9; a lower sealing assembly 10; a plunger head 11; a sliding sealing assembly 12; a control check valve 13; a plunger outer sleeve 14; a plunger cylinder liner 15; a drill bit 16; and a high-pressure fluid dedicated jet channel 17.

[0125] Drill string vibration causes drilling pressure fluctuations. The upper connector 1 connects to the upper drill string assembly. The mandrel 2 provides the necessary strength for the drill bit body. The splined outer cylinder 5 connects the upper vibration damping module and the lower pressurization module. The spring 8 absorbs the vibration energy of the upper drill string. The upper sealing assembly cap 3 and upper sealing assembly 4 seal the drilling fluid inside the device, maintaining pressure. The upper part of the plunger head 11 is connected to the mandrel 2, enabling up-and-down piston-like movement to compress the drilling fluid within the plunger cylinder liner 15. The high-pressure drilling fluid is directly applied to the bottom of the well via the high-pressure jet channel 17 connected to the drill bit 16, achieving downhole energy enhancement. The high-pressure jet channel 17, directly connected to the drill bit nozzle, serves the following purpose: the increased drilling fluid jet energy from the vibration damping tool is typically 4-8 MPa, insufficient for effectively breaking rocks. However, by concentrating the energy through the high-pressure jet channel 17 and applying it directly to the drill bit, the jet energy can reach 80 MPa, directly breaking rocks and significantly improving the rock-breaking efficiency in deep, ultra-hard formations.

[0126] In this application example, the drill string vibration damping tool utilizes drill string vibration as an energy source to drive the plunger of the tool's plunger pump to move up and down, thereby increasing the drill bit jet pressure. The tool is directly connected to the drill bit, reducing drill string vibration to protect the drill bit while increasing bottom hole jet pressure and improving the cleaning effect of cuttings at the bottom of the well. This achieves enhanced downhole rock breaking, solving problems such as high downhole vibration intensity, insufficient hydraulic energy at the bottom of the well, and inadequate bottom hole cleaning. The vibration damping tool transforms drill string vibration energy into drilling fluid jet energy, turning a disadvantage into an advantage and achieving faster and more efficient drilling in deep and ultra-deep wells.

[0127] Figure 9 is a schematic diagram of the physical structure of an electronic device provided in an embodiment of this application. As shown in Figure 9, the electronic device includes: a memory 901, a processor 902, and a computer program stored in the memory 901 and executable on the processor 902. When the processor 902 executes the computer program, it implements the following method:

[0128] The longitudinal vibration data and torsional vibration data of the target drill string are obtained at multiple positions when the vibration damping tool is inserted into the target drill string. The longitudinal vibration data includes: hook load, mass matrix, stiffness matrix, structural damping matrix, drilling fluid damping effect matrix, velocity vector and acceleration vector. The torsional vibration data includes: rotational acceleration vector, rotational speed vector, rotational inertia matrix, torsional stiffness matrix, torsional structural damping matrix and torsional drilling fluid damping matrix.

[0129] By applying pre-built longitudinal vibration model, pre-built torsional vibration model, longitudinal vibration data and torsional vibration data corresponding to each position of the target drill string when the vibration damping tool is lowered, the vibration intensity of the entire well section when the target drill string is lowered to that position is determined.

[0130] Based on the vibration intensity of the target drill string throughout the well section when the vibration damping tool is lowered to each position, the optimal lowering position of the vibration damping tool is selected from each position. The vibration damping tool is then lowered to the optimal lowering position to complete the vibration damping process of the target drill string.

[0131] This embodiment discloses a computer program product, which includes a computer program. When the computer program is executed by a processor, it implements the following method:

[0132] The longitudinal vibration data and torsional vibration data of the target drill string are obtained at multiple positions when the vibration damping tool is inserted into the target drill string. The longitudinal vibration data includes: hook load, mass matrix, stiffness matrix, structural damping matrix, drilling fluid damping effect matrix, velocity vector and acceleration vector. The torsional vibration data includes: rotational acceleration vector, rotational speed vector, rotational inertia matrix, torsional stiffness matrix, torsional structural damping matrix and torsional drilling fluid damping matrix.

[0133] By applying pre-built longitudinal vibration model, pre-built torsional vibration model, longitudinal vibration data and torsional vibration data corresponding to each position of the target drill string when the vibration damping tool is lowered, the vibration intensity of the entire well section when the target drill string is lowered to that position is determined.

[0134] Based on the vibration intensity of the target drill string throughout the well section when the vibration damping tool is lowered to each position, the optimal lowering position of the vibration damping tool is selected from each position. The vibration damping tool is then lowered to the optimal lowering position to complete the vibration damping process of the target drill string.

[0135] This embodiment provides a computer-readable storage medium storing a computer program, which, when executed by a processor, implements the following method:

[0136] The longitudinal vibration data and torsional vibration data of the target drill string are obtained at multiple positions when the vibration damping tool is inserted into the target drill string. The longitudinal vibration data includes: hook load, mass matrix, stiffness matrix, structural damping matrix, drilling fluid damping effect matrix, velocity vector and acceleration vector. The torsional vibration data includes: rotational acceleration vector, rotational speed vector, rotational inertia matrix, torsional stiffness matrix, torsional structural damping matrix and torsional drilling fluid damping matrix.

[0137] By applying pre-built longitudinal vibration model, pre-built torsional vibration model, longitudinal vibration data and torsional vibration data corresponding to each position of the target drill string when the vibration damping tool is lowered, the vibration intensity of the entire well section when the target drill string is lowered to that position is determined.

[0138] Based on the vibration intensity of the target drill string throughout the well section when the vibration damping tool is lowered to each position, the optimal lowering position of the vibration damping tool is selected from each position. The vibration damping tool is then lowered to the optimal lowering position to complete the vibration damping process of the target drill string.

[0139] Those skilled in the art will understand that embodiments of this application can be provided as methods, systems, or computer program products. Therefore, this application can take the form of a completely hardware embodiment, a completely software embodiment, or an embodiment combining software and hardware aspects. Furthermore, this application can take the form of a computer program product embodied on one or more computer-usable storage media (including but not limited to disk storage, CD-ROM, optical storage, etc.) containing computer-usable program code.

[0140] This application is described with reference to flowchart illustrations and / or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of this application. It will be understood that each block of the flowchart illustrations and / or block diagrams, and combinations of blocks in the flowchart illustrations and / or block diagrams, can be implemented by computer program instructions. These computer program instructions can be provided to a processor of a general-purpose computer, special-purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, create means for implementing the functions specified in one or more flowchart illustrations and / or one or more block diagrams.

[0141] These computer program instructions may also be stored in a computer-readable storage medium that can direct a computer or other programmable data processing device to function in a particular manner, such that the instructions stored in the computer-readable storage medium produce an article of manufacture including instruction means that implement the functions specified in one or more flowcharts and / or one or more block diagrams.

[0142] These computer program instructions may also be loaded onto a computer or other programmable data processing apparatus to cause a series of operational steps to be performed on the computer or other programmable apparatus to produce a computer-implemented process, such that the instructions, which execute on the computer or other programmable apparatus, provide steps for implementing the functions specified in one or more flowcharts and / or one or more block diagrams.

[0143] In the description of this specification, the references to terms such as "an embodiment," "a specific embodiment," "some embodiments," "for example," "example," "specific example," or "some examples," etc., indicate that a specific feature, structure, material, or characteristic described in connection with that embodiment or example is included in at least one embodiment or example of this application. In this specification, the illustrative expressions of the above terms do not necessarily refer to the same embodiment or example. Furthermore, the specific features, structures, materials, or characteristics described may be combined in any suitable manner in one or more embodiments or examples.

[0144] The specific embodiments described above further illustrate the purpose, technical solution, and beneficial effects of this application. It should be understood that the above descriptions are merely specific embodiments of this application and are not intended to limit the scope of protection of this application. Any modifications, equivalent substitutions, improvements, etc., made within the spirit and principles of this application should be included within the scope of protection of this application.

Claims

1. A method of drilling string vibration reduction, characterized by, include: The longitudinal vibration data and torsional vibration data corresponding to the target drill string at multiple positions when the vibration damping tool is inserted into the target drill string are obtained respectively. The longitudinal vibration data includes: hook load, mass matrix, stiffness matrix, structural damping matrix, drilling fluid damping effect matrix, velocity vector and acceleration vector. The torsional vibration data includes: rotational acceleration vector, rotational speed vector, rotational inertia matrix, torsional stiffness matrix, torsional structural damping matrix and torsional drilling fluid damping matrix. By applying a pre-built longitudinal vibration model, a pre-built torsional vibration model, and longitudinal and torsional vibration data corresponding to the target drill string at each of the vibration damping tools' insertion points, the vibration intensity of the target drill string throughout the wellbore at that insertion point is determined; and Based on the vibration intensity of the target drill string throughout the well section when the vibration damping tool is lowered to each of the aforementioned positions, the optimal lowering position of the vibration damping tool is selected from the aforementioned positions, and the vibration damping tool is lowered to the optimal lowering position to complete the vibration damping process of the target drill string.

2. The method of claim 1, wherein, The method utilizes a pre-built longitudinal vibration model, a pre-built torsional vibration model, and longitudinal and torsional vibration data corresponding to the target drill string at each of the specified locations when the vibration damping tool is lowered, to determine the overall wellbore vibration intensity of the target drill string at that location, including: By applying a pre-built longitudinal vibration model and the longitudinal vibration data of the target drill string when the vibration damping tool is lowered to each of the aforementioned positions, the displacement vector of the target drill string when the vibration damping tool is lowered to that position is determined. Based on the pre-built torsional vibration model and the torsional vibration data of the target drill string when the vibration damping tool is lowered to each of the positions, the torsional angle vector of the target drill string when the vibration damping tool is lowered to that position is determined; Based on the displacement vector and torsional angle vector of the target drill string at each of the specified positions when the vibration damping tool is lowered, determine the stress distribution of the target drill string at that position; and Based on the stress distribution of the target drill string at each of the said positions when the vibration damping tool is lowered, the vibration intensity of the target drill string throughout the well section when the vibration damping tool is lowered to that position is determined.

3. The method of claim 1, wherein, The step of selecting the optimal insertion position of the vibration damping tool from each of the aforementioned positions based on the overall wellbore vibration intensity when the target drill string is inserted into each of the aforementioned positions includes: The lowest vibration intensity value across the entire well section is selected from the vibration intensity values ​​across the entire well section when the target drill string is lowered to each of the aforementioned positions. The position corresponding to the lowest vibration intensity value is then determined as the optimal lowering position of the vibration damping tool.

4. The drill string vibration reduction method according to claim 1, characterized in that, The mass matrix is ​​composed of the mass of multiple concentrated mass blocks corresponding to the target drill string; the stiffness matrix is ​​composed of the connection stiffness between adjacent concentrated mass blocks; the structural damping matrix is ​​based on the structural damping between adjacent concentrated mass blocks; the drilling fluid damping effect matrix is ​​composed of the mud damping coefficient of each of the concentrated mass blocks; the velocity vector is composed of the velocity of each of the concentrated mass blocks; and the acceleration vector is composed of the acceleration of each of the concentrated mass blocks.

5. The method of claim 4, wherein, During the bit-to-bottom contact phase, the pre-constructed longitudinal vibration model is: where [M] represents a sub-mass matrix consisting of the elements of the first N-1 rows and first N-1 columns of the mass matrix, u represents a vector consisting of the first N-1 elements of the acceleration vector, [C] represents a sub-structural damping matrix consisting of the elements of the first N-1 rows and first N-1 columns of the structural damping matrix, [α] represents the viscous damping coefficient, [K] represents the stiffness matrix consisting of the first N-1 rows and first N-1 columns of the mass matrix, u represents the vector consisting of the first N-1 elements of the displacement vector, F represents the load vector, P represents the hook load, and m N-2 Let g represent the mass of the (N-2)th concentrated mass block, g represent the acceleration due to gravity, and c represent the acceleration due to gravity. N-1 This represents the structural damping between the (N-1)th lumped mass block and the Nth lumped mass block. denotes the velocity of the Nth lumped mass, k N-1 denotes the connection stiffness between the Nth lumped mass and the N+lth lumped mass, u b denotes the displacement of the Nth lumped mass.

6. The drill string damping method of claim 4, wherein, In the stage of the drill bit not contacting the well bottom, the pre-constructed longitudinal vibration model is: F = [-P + m1g m2g m3g...... m N-1 g m b g - P b ] T where [M] represents a mass matrix, u represents an acceleration vector, [C] represents a structural damping matrix, denotes the velocity vector, [a] denotes the viscous damping coefficient, [K] denotes the stiffness matrix, u denotes the displacement vector, F denotes the load vector, P denotes the hook load, m N-2 denotes the mass of the N-2nd lumped mass, g denotes the gravitational acceleration, P b denotes the weight on bit.

7. The method of claim 1, wherein, The moment of inertia matrix is ​​composed of the moments of inertia of multiple concentrated mass blocks corresponding to the target drill string; the torsional stiffness matrix is ​​composed of the shear stiffness between adjacent concentrated mass blocks; the torsional structural damping matrix is ​​composed of the shear damping between adjacent concentrated mass blocks; the torsional drilling fluid damping matrix is ​​composed of the torsional drilling fluid damping of each of the concentrated mass blocks; the rotational acceleration vector is composed of the rotational acceleration of each of the concentrated mass blocks; and the rotational speed vector is composed of the rotational speed of each of the concentrated mass blocks.

8. The drill string damping method of claim 7, wherein, The pre-constructed torsional vibration model is: T = [k1 τ ωt + c1 τ ω 0 … … 0 -T b ] T where [J] denotes the moment of inertia matrix, denotes the rotational acceleration vector, [C τ ] denotes the torsional structural damping matrix, [α τ ] denotes the torsional drilling fluid damping matrix, [K τ ] denotes the torsional stiffness matrix, denotes a rotational velocity vector, 0 denotes a twist angle vector, k1 τ denotes a shear stiffness between the first and second lumped masses, c1 τ denotes a shear damping between the first and second lumped masses, w denotes a ground rotational velocity, t denotes time, T b denotes a drill bit torque.

9. A drill string damping device, characterized by include: The acquisition module is used to acquire longitudinal vibration data and torsional vibration data corresponding to multiple positions of the target drill string when the vibration damping tool is inserted into the target drill string. The longitudinal vibration data includes: hook load, mass matrix, stiffness matrix, structural damping matrix, drilling fluid damping effect matrix, velocity vector and acceleration vector. The torsional vibration data includes: rotational inertia matrix, torsional stiffness matrix, torsional structural damping matrix and torsional drilling fluid damping matrix. The determination module is used to apply a pre-built longitudinal vibration model, a pre-built torsional vibration model, and longitudinal and torsional vibration data corresponding to the target drill string when the vibration damping tool is lowered to each of the aforementioned positions, to determine the overall vibration intensity of the target drill string when the vibration damping tool is lowered to that position; and The vibration reduction module is used to select the optimal insertion position of the vibration reduction tool from each of the positions based on the vibration intensity of the target drill string throughout the well section when the vibration reduction tool is inserted to each of the positions. The vibration reduction tool is inserted to the optimal insertion position to complete the vibration reduction process of the target drill string.

10. An electronic device comprising a memory, a processor, and a computer program stored on the memory and executable on the processor, characterized in that, When the processor executes the program, it implements the drill string vibration reduction method according to any one of claims 1 to 8.

11. A computer readable storage medium having stored thereon computer instructions, wherein, When the instruction is executed by the processor, it implements the drill string vibration reduction method according to any one of claims 1 to 8.

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