Pipeline configuration method, system, medium and equipment in ocean current

Abstract

According to the pipeline configuration method, system, medium and equipment in the ocean current, the layered flow velocity field is established, the layering effect of the ocean current is comprehensively considered, movement of fluid around the pipeline can be accurately simulated, and therefore interaction between the fluid and the pipeline can be reflected more truly. Meanwhile, the boundary source item is calculated according to the relation between the pipeline surface fluid velocity and the pipeline surface displacement, so that the boundary source item can accurately represent the fluid reaction force caused by the pipeline surface movement. A nonlinear elastic deformation model of the pipeline under the deformation condition is constructed, and the stress tensor of the pipeline can be well represented. And finally, taking a boundary source item as a pipeline surface force by utilizing an immersed boundary method, so that the problem of interaction between fluid and solid under a complex boundary condition can be solved. The flow velocity and the pipeline surface displacement are updated through iteration until the pipeline elastic mechanical equation converges, and an important reference basis is provided for configuration processes such as design, installation and maintenance of the pipeline.

Description

Technical Field

[0001] The present application relates to the field of industrial control, and in particular to a method, system, medium and equipment for configuring pipelines in ocean currents. Background Art

[0002] Deep-sea mining pipelines are subject to multiple loads, including ocean current disturbances and internal slurry flows. Traditional linear models exhibit significant errors. Existing methods, however, often employ one-way coupling or simplified boundary conditions, failing to reflect the true interaction between the fluid and the pipeline, resulting in significant errors. Therefore, improving the precision and accuracy of deep-sea pipeline configuration is a pressing technical challenge for those skilled in the art. Summary of the Invention

[0003] The purpose of this application is to provide a method, system, computer-readable storage medium and electronic device for configuring pipelines in ocean currents, which can improve the precision and accuracy of pipeline configuration in the deep sea.

[0004] To solve the above technical problems, this application provides a method for configuring pipelines in ocean currents. The specific technical solutions are as follows:

[0005] Acquiring ocean current data and determining the velocity distribution of each flow layer of the ocean current data;

[0006] The stratified velocity field including the velocity distribution of each flow layer is used as the initial condition of the Navier-Stokes equation to calculate the corresponding relationship between the fluid velocity and the displacement on the pipe surface; the Navier-Stokes equation is used to describe the motion of the fluid;

[0007] Calculating a boundary source term based on the correspondence between the fluid velocity and the displacement on the pipeline surface; the boundary source term is used to characterize the fluid reaction force caused by the movement of the pipeline surface;

[0008] Constructing a nonlinear elastic deformation model of the pipeline under deformation conditions, wherein the nonlinear elastic deformation model is used to characterize the stress tensor of the pipeline;

[0009] The boundary source term is used as the pipeline surface force and is combined with the pipeline stress tensor to be substituted into the pipeline elasticity equation. The pipeline elasticity equation is calculated using the immersed boundary method, and the flow velocity and pipeline surface displacement are iteratively updated until the pipeline elasticity equation converges to obtain pipeline configuration indication information.

[0010] Optionally, determining the velocity distribution of each flow layer of the ocean current data includes:

[0011] The velocity distribution of each flow layer of the ocean current data is fitted by an exponential function or a logarithmic law, and the turbulence in the ocean current data is simulated by a perturbation function.

[0012] Optionally, the corresponding relationship between the fluid velocity on the pipeline surface and the displacement on the pipeline surface also includes:

[0013] Calculate the nonlinear friction force between the velocity field of the fluid in the pipeline and the displacement field of the pipeline surface based on the friction coefficient;

[0014] The nonlinear friction force is added to the boundary source term to couple to the Navier-Stokes equations.

[0015] Optionally, constructing a nonlinear elastic deformation model of the pipeline under deformation conditions includes:

[0016] defining a deformation gradient tensor of the pipeline according to the initial coordinates and the deformed coordinates of the pipeline;

[0017] Calculating a Lagrangian strain tensor based on the unit matrix and the deformation gradient tensor; the Lagrangian strain tensor is used to characterize the response of the pipeline to the disturbance;

[0018] Calculating a stress tensor of the pipeline based on the deformation gradient tensor; the stress tensor is used to characterize the stress state of the pipeline during the deformation process;

[0019] An equivalent relationship between the stress tensor, the elastic tensor of the pipeline material and the Lagrangian strain tensor is established to obtain a nonlinear elastic deformation model of the pipeline under deformation conditions.

[0020] Optionally, calculating the stress tensor of the pipeline according to the deformation gradient tensor includes:

[0021] The stress tensor of the pipeline is calculated according to the deformation gradient tensor, the Lame constant of the pipeline material, the unit tensor and the shear modulus of the pipeline material.

[0022] Optionally, when building a nonlinear elastic deformation model of a pipeline under deformation conditions, the following is also included:

[0023] The second-order strain tensor of the pipeline is calculated based on the gradient tensor of the displacement field; the second-order strain tensor is used to describe the nonlinear shear and rotation effects of the pipeline during deformation, so as to correct the stress tensor.

[0024] Optionally, the pipeline elasticity equation is calculated by coupling with the immersed boundary method, and the flow velocity and pipeline surface displacement are iteratively updated until the pipeline elasticity equation converges, and the pipeline configuration indication information is obtained, including:

[0025] Mapping the surface mesh node displacements of the pipeline to the stratified velocity field through an interpolation function to obtain a boundary source term;

[0026] Add a discrete function and set a residual threshold; the discrete function is used to ensure the conservation of force transmission, and the residual threshold is used to determine the coupling convergence;

[0027] When the coupling of the pipeline elastic mechanics equation converges, pipeline configuration instruction information is output; the pipeline configuration instruction information includes at least one of mining operation parameter adjustment and pipeline parameter adjustment.

[0028] The present application also provides a system for configuring a pipeline in an ocean current, comprising:

[0029] A data acquisition module, configured to acquire ocean current data and determine the velocity distribution of each flow layer of the ocean current data;

[0030] a first calculation module for calculating the correspondence between the fluid velocity and the displacement on the pipe surface by using the stratified velocity field including the velocity distribution of each flow layer as the initial condition of the Navier-Stokes equation; the Navier-Stokes equation is used to describe the kinetic energy of the fluid;

[0031] The second calculation module is used to calculate the boundary source term based on the corresponding relationship between the fluid velocity on the pipeline surface and the displacement on the pipeline surface; the boundary source term is used to characterize the fluid reaction force caused by the movement of the pipeline surface;

[0032] A third calculation module is used to construct a nonlinear elastic deformation model of the pipeline under deformation conditions, wherein the nonlinear elastic deformation model is used to characterize the pipeline stress tensor;

[0033] A coupling calculation module is used to use the boundary source term as the pipeline surface force, substitute the pipeline stress tensor into the pipeline elasticity equation, use the immersed boundary method to couple the calculation of the pipeline elasticity equation, iteratively update the flow velocity and pipeline surface displacement until the pipeline elasticity equation converges to obtain pipeline configuration indication information.

[0034] The present application also provides a computer-readable storage medium having a computer program stored thereon, which implements the steps of the above-described method when executed by a processor.

[0035] The present application also provides an electronic device, including a memory and a processor, wherein a computer program is stored in the memory, and the processor implements the steps of the above-mentioned method when calling the computer program in the memory.

[0036] The present application provides a method for configuring pipelines in ocean currents, comprising: obtaining ocean current data and determining the velocity distribution of each flow layer of the ocean current data; using the stratified velocity field containing the velocity distribution of each flow layer as the initial condition of the Navier-Stokes equations, and calculating the corresponding relationship between the pipeline surface fluid velocity and the pipeline surface displacement; the Navier-Stokes equations are used to describe the momentum of the fluid; calculating a boundary source term based on the corresponding relationship between the pipeline surface fluid velocity and the pipeline surface displacement; the boundary source term is used to characterize the fluid reaction force caused by the movement of the pipeline surface; constructing a nonlinear elastic deformation model of the pipeline under deformation conditions, the nonlinear elastic deformation model is used to characterize the pipeline stress tensor; using the boundary source term as the pipeline surface force, combined with the pipeline stress tensor, to substitute into the pipeline elastic mechanics equation, coupling and calculating the pipeline elastic mechanics equation using the immersed boundary method, iteratively updating the flow velocity and pipeline surface displacement until the pipeline elastic mechanics equation converges, and obtaining pipeline configuration indication information.

[0037] This application establishes a stratified velocity field, comprehensively considering the stratification effect of ocean currents. Using the stratified velocity field as the initial condition for the Navier-Stokes equations, it accurately simulates the motion of the fluid around the pipeline, thereby more realistically reflecting the interaction between the fluid and the pipeline. At the same time, the boundary source term is calculated based on the relationship between the fluid velocity and the displacement on the pipeline surface, allowing the boundary source term to accurately represent the fluid reaction force caused by the pipeline surface motion. Constructing a nonlinear elastic deformation model of the pipeline under deformation conditions can effectively characterize the pipeline stress tensor, thereby taking into account the nonlinear mechanical properties and complex deformation conditions of the pipeline material, making the stress and deformation analysis of the pipeline under fluid action more accurate. Finally, using the immersed boundary method, the boundary source term is used as the pipeline surface force, combined with the pipeline stress tensor and substituted into the pipeline elastic mechanics equation for coupled calculation, which can handle the problem of fluid-solid interaction under complex boundary conditions. By iteratively updating the flow velocity and pipeline surface displacement until the pipeline elastic mechanics equation converges, accurate pipeline configuration information can be obtained, providing an important reference basis for pipeline design, installation, and maintenance, and helping to optimize the performance and safety of the pipeline system.

[0038] The present application also provides a system for configuring a pipeline in an ocean current, a computer-readable storage medium, and an electronic device, which have the above-mentioned beneficial effects and will not be described in detail here. BRIEF DESCRIPTION OF THE DRAWINGS

[0039] In order to more clearly illustrate the embodiments of the present application or the technical solutions in the prior art, the following briefly introduces the drawings required for use in the embodiments or the description of the prior art. Obviously, the drawings described below are merely embodiments of the present application. For ordinary technicians in this field, other drawings can be obtained based on the provided drawings without any creative work.

[0040] Figure 1 A flow chart of a method for configuring pipelines in ocean currents provided in an embodiment of the present application;

[0041] Figure 2 A schematic diagram of a pipeline configuration system for ocean currents provided in an embodiment of the present application;

[0042] Figure 3 This is a structural diagram of an electronic device provided in an embodiment of the present application. DETAILED DESCRIPTION

[0043] To make the purpose, technical solutions, and advantages of the embodiments of this application more clear, the technical solutions in the embodiments of this application will be clearly and completely described below in conjunction with the drawings in the embodiments of this application. Obviously, the described embodiments are part of the embodiments of this application, not all of the embodiments. Based on the embodiments in this application, all other embodiments obtained by ordinary technicians in this field without making creative efforts are within the scope of protection of this application.

[0044] The object information involved in this application, including but not limited to the object device information, the object personal information, etc., and data, including but not limited to data used for analysis, stored data, displayed data, etc., are all information and data authorized by the object or fully authorized by all parties, and the collection, use and processing of relevant data must comply with the laws, regulations and standards of relevant countries and regions.

[0045] See also Figure 1 , Figure 1 A flow chart of a method for configuring pipelines in ocean currents provided in an embodiment of the present application, the method comprising:

[0046] S101: Acquire ocean current data and determine the velocity distribution of each flow layer of the ocean current data;

[0047] S102: Using the stratified velocity field including the velocity distribution of each flow layer as the initial condition of the Navier-Stokes equation, the corresponding relationship between the fluid velocity on the pipeline surface and the displacement on the pipeline surface is calculated; the Navier-Stokes equation is used to describe the kinetic energy of the fluid;

[0048] S103: Calculating a boundary source term based on the correspondence between the fluid velocity on the pipeline surface and the displacement on the pipeline surface; the boundary source term is used to characterize the fluid reaction force caused by the movement of the pipeline surface;

[0049] S104: constructing a nonlinear elastic deformation model of the pipeline under deformation conditions, wherein the nonlinear elastic deformation model is used to characterize the stress tensor of the pipeline;

[0050] S105: Substituting the boundary source term as the pipeline surface force and the pipeline stress tensor into the pipeline elasticity equation, coupling and calculating the pipeline elasticity equation using the immersed boundary method, iteratively updating the flow velocity and pipeline surface displacement until the pipeline elasticity equation converges to obtain pipeline configuration indication information.

[0051] In the dynamic analysis of deep-sea mining pipelines, the interaction between the fluid and the pipeline is characterized by coupling the fluid dynamics equations with the pipeline's elastic deformation equations. During this process, the fluid not only exerts pressure on the pipeline surface but also influences its motion through friction. The fluid inside the pipeline (such as ore slurry) also influences its deformation through viscosity and inertia.

[0052] The motion of the fluid is described by the Navier-Stokes equations. Let the fluid velocity field be, the fluid density be, the pressure be p, and the fluid viscosity be , the external disturbance force is. For incompressible fluid, the Navier-Stokes equation is:

[0053] ;

[0054] To adapt to the complex deep-sea environment, ocean currents not only have external disturbance forces, but also need to consider the stratification effect of flow velocity at different depths. In the deep sea, ocean currents are usually divided into multiple different flow layers, each with different flow velocity and turbulence intensity. Therefore, the fluid velocity can be represented by a layered model, that is, the velocity distribution of each flow layer in the ocean current data is determined as follows:

[0055] ;

[0056] Among them, is the distribution of the flow velocity in layer ii, which is a disturbance function based on time and space and is used to represent the ocean current dynamics in different flow layers.

[0057] The interaction between the fluid and the pipe is to affect the fluid movement through the force exerted on the pipe surface. On the pipe surface, the movement of each point will affect the flow of the fluid, so the coupling between the pipe and the fluid needs to be handled by the immersed boundary method (IBM). The fluid velocity on the pipe is matched to the displacement on the pipe surface:

[0058] ;

[0059] This equation describes the synchronization of the velocity of the fluid on the pipe surface and the pipe displacement. In order to introduce the influence of the fluid movement on the pipe, the fluid dynamics equation needs to include a boundary source term, which is determined by the fluid reaction force caused by the movement of the pipe surface:

[0060] ;

[0061] Where, is the force on the pipe surface and is the Dirac delta function, which represents the effect of the force exerted by the pipe surface on the fluid velocity field.

[0062] The effect of the fluid inside a pipe on its motion is described by the friction and inertial effects between the fluid and the pipe surface. The flow of fluid inside a pipe follows similar equations as the flow outside, but the friction effect is typically nonlinear, depending on the difference between the fluid velocity and the pipe displacement. The friction between the velocity field of the fluid inside the pipe and the displacement field of the pipe surface can be expressed using the following equation:

[0063] ;

[0064] in, is the friction coefficient, which describes the nonlinear friction between the fluid and the pipe surface. This formula reflects the resistance of the fluid to pipe displacement. Friction increases significantly when the difference between the fluid velocity and the pipe surface displacement is large. Friction is input as a boundary source term into the Navier-Stokes equations for the fluid.

[0065] Friction The boundary source term Fboundary in the immersed boundary method (IBM) is coupled to the fluid Navier-Stokes equations to affect the fluid velocity field. The reaction force of the fluid on the pipe is then substituted into the pipe elasticity equations in the following text through fs (pipe surface force).

[0066] When considering the elastic deformation of pipelines, especially in the case of large deformations, finite strain theory (Finite Strain Theory) is required to describe the elastic behavior of the material. Traditional small deformation elasticity theory is based on Hooke's law, which assumes that strains are small, resulting in a linear relationship. However, under large deformations and complex environments (such as the dynamic deformation of pipelines in deep-sea environments), the linear elastic assumption cannot accurately describe the relationship between stress and strain.

[0067] Therefore, this application introduces nonlinear elastic material models, especially large deformation theory and incompressible material models, as well as high-order strain-displacement relationships to describe the nonlinear behavior of materials.

[0068] In the case of large deformation, traditional small strain theories (such as linear elasticity) cannot describe the effects of large deformation on the pipeline. Therefore, finite strain theory is introduced, which describes large deformation problems by introducing the Lagrangian strain tensor and the Cauchy stress tensor. Assuming that the pipeline deforms from its initial configuration to the deformed configuration, the coupled deformation between the fluid and the pipeline can be described by the following equation, which includes the following steps:

[0069] The first step is to define the deformation gradient tensor of the pipeline according to the initial coordinates and the deformed coordinates of the pipeline;

[0070] Step 2: Calculate the Lagrangian strain tensor based on the unit matrix and the deformation gradient tensor; the Lagrangian strain tensor is used to characterize the response of the pipeline to the disturbance;

[0071] Step 3: Calculate the stress tensor of the pipeline based on the deformation gradient tensor; the stress tensor is used to characterize the stress state of the pipeline during the deformation process;

[0072] The fourth step is to establish an equivalent relationship between the stress tensor, the elastic tensor of the pipeline material and the Lagrangian strain tensor to obtain a nonlinear elastic deformation model of the pipeline under deformation conditions.

[0073] First, define the deformation gradient tensor F as the derivative of the deformation:

[0074] ;

[0075] Among them, is the initial coordinate, is the coordinate after deformation. Through the deformation gradient tensor, the strain tensor of the pipeline can be described by the Lagrangian strain tensor:

[0076] ;

[0077] in, is the identity matrix, The Lagrangian strain tensor describes the degree of deformation of a pipe relative to its original shape after deformation, quantifying the strain state from the initial to the deformed configuration. The strain tensor represents the pipe's response to a disturbance, rather than directly determining the magnitude of the disturbance. The disturbance acts on the pipe through fluid-structure coupling, causing deformation. The degree of deformation is described by F and E, and stress is then calculated using constitutive equations (such as the Neo-Hookean model).

[0078] To account for the large deformations and strong nonlinear behavior of pipelines in deep-sea environments, a nonlinear material model is used to describe the relationship between stress and strain in the pipeline. While the constitutive equation used is not restricted, the Mooney-Rivlin and Neo-Hookean models are commonly used nonlinear elastic material models suitable for incompressible materials (such as the metal material of the pipeline).

[0079] This example uses the Neo-Hookean model as an example, which can accurately describe the nonlinear response of elastic materials in large deformation problems. For incompressible elastic bodies, the relationship between stress and strain can be written as:

[0080] ;

[0081] in, is the Cauchy stress tensor, which describes the stress state of the pipe during large deformation. It is the shear modulus of the material. is the material's Lamé constant, is the deformation gradient tensor, is the unit tensor.

[0082] This nonlinear stress-strain relationship can effectively capture the elastic behavior of the pipeline under large displacements and strong nonlinearity, especially in the large-scale deformation caused by fluid disturbances.

[0083] The stress tensor calculated above is It can describe the response of pipelines in deep-sea environments to the effects of ocean current disturbances and internal friction of the fluid. In the case of large deformations, the stress state of the pipeline depends not only on the shape of the pipeline, but also on the dynamic behavior of the fluid inside the pipeline.

[0084] Based on the constitutive equation, the dynamic equation of the pipeline under disturbance in the deep sea can be derived. Due to the interaction between the fluid and the solid, the elastic deformation of the pipeline is coupled with the stress transfer of the fluid:

[0085] ;

[0086] in, is the elastic tensor of the material, which depends on the properties of the pipe material, is the Lagrangian strain tensor, which is given by the deformation gradient tensor Decide.

[0087] In the case of large deformations, it is also necessary to consider higher-order strain-displacement relations. These relations describe the effect of the nonlinear deformation of the pipe on the displacement field, especially in the case of large angle rotation and large stretching. The higher-order terms of the strain-displacement relations can be described by the second-order strain tensor:

[0088] ;

[0089] Where, represents the second-order strain tensor of the pipeline, which is used to describe the shear deformation and tensile deformation under large deformation; Represents the gradient tensor of the displacement field u, which is used to describe the rate of change of displacement in space. In the large deformation calculation process, Reflecting the local stretching and rotation of material points is the basis for constructing higher-order strain tensors. Compared with the Lagrangian strain tensor E, the second-order strain tensor additionally considers The second-order strain tensor is used to describe nonlinear shear and rotational effects under large deformations. In subsequent coupled calculations, the second-order strain tensor can modify the stress calculation, allowing the constitutive equations to more accurately capture the nonlinear response under large deformations. Furthermore, during deformation transfer at the fluid-structure interface, the deformation calculated using the second-order strain tensor is mapped to the fluid mesh via the displacement field in the IBM method, generating boundary source terms.

[0090] In deep-sea environments, pipelines not only experience large displacements due to external ocean current disturbances, but are also subject to mechanical influences from the action of fluids (such as ore slurry or seawater within the pipeline). To simulate this coupled interaction, it is necessary to combine the elastic deformation of the pipeline with the fluid dynamics equations.

[0091] The elastic mechanics equation of the pipeline is:

[0092] ;

[0093] where is the density of the pipe, is the displacement field of the pipe, is the stress tensor of the pipe, and is the external forces due to the fluid (such as friction and fluid pressure).

[0094] It should be noted that the strain tensor E is a geometric quantity used to describe the degree of material deformation and is calculated from the deformation gradient tensor F. The stress tensor σ is a mechanical quantity used to describe the force distribution within the material and is determined by the constitutive relations. These two concepts are different in physics: strain is the result of deformation, while stress is the internal force response caused by deformation. Under small deformations, stress and strain satisfy Hooke's law.

[0095] To solve the nonlinear elastic equations described above, this embodiment employs the finite element method (FEM), which can handle complex geometric and material nonlinearities. By dividing the pipeline into a finite number of elements and solving the displacement field for each element, the deformation response of the entire pipeline is ultimately obtained.

[0096] The interaction between the fluid and the pipeline is crucial in the dynamic analysis of deep-sea mining pipelines. Particularly in deep-sea environments, pipelines are subject not only to the pressure of external ocean current disturbances but also to the friction and inertial forces of the internal fluid. To accurately simulate these interactions, this method combines a nonlinear elastic model to describe the pipeline deformation and uses the immersed boundary method to account for the interaction between the fluid and the solid boundary.

[0097] Within this framework, the first step is to establish a pipeline elastic deformation model, specifically its nonlinear deformation behavior under large deformation conditions. Next, the pipeline deformation information is coupled with the fluid dynamics equations using the immersed boundary method, ultimately achieving a fully coupled solution of the fluid and pipeline. The following describes the pipeline elastic deformation model and how it is coupled with the fluid dynamics equations using the immersed boundary method.

[0098] In the interaction between a fluid and a pipe, the fluid's dynamic equations describe the motion of the fluid, while the elastic deformation of the pipe is described by the nonlinear elasticity equations. In coupled problems, the immersed boundary method provides an effective framework for handling the complex interactions between the fluid and the solid (pipe) boundary.

[0099] In a nonlinear coupled system, the interaction between the fluid and the pipe is highly nonlinear, so the solution for each time step involves the coupled solution of the fluid dynamics equations and the pipe elastic deformation equations. In this case, directly solving the nonlinear equations is difficult, so the embodiment of this application uses the Newton-Raphson method to accelerate iterative convergence.

[0100] The Newton-Raphson method is a numerical method based on Taylor series expansions that iteratively approximates the solution to an equation. Its core concept is to linearize a nonlinear system of equations and use approximations of existing solutions to compute new solutions. This method is widely used in nonlinear coupled problems, particularly fluid-structure coupled problems, where it can significantly accelerate the solution process.

[0101] Expansion and iteration of nonlinear coupled equations. Considering a nonlinear coupled system of fluid and pipeline, the entire system can be viewed as a set of nonlinear equations consisting of two subsystems. A complex coupling relationship exists between the fluid equations (modified Navier-Stokes equations) and the pipeline deformation equations (nonlinear elastic equations).

[0102] The present embodiment establishes a stratified velocity field, comprehensively considering the stratification effect of ocean currents. Using the stratified velocity field as the initial condition for the Navier-Stokes equations accurately simulates the motion of the fluid around the pipeline, thereby more realistically reflecting the interaction between the fluid and the pipeline. Simultaneously, the boundary source term is calculated based on the relationship between the fluid velocity and the displacement on the pipeline surface, enabling the boundary source term to accurately represent the fluid reaction force caused by the pipeline surface motion. Constructing a nonlinear elastic deformation model of the pipeline under deformation conditions effectively characterizes the pipeline stress tensor, thereby accounting for the nonlinear mechanical properties and complex deformation of the pipeline material, and enabling more accurate analysis of the stress and deformation of the pipeline under fluid action. Finally, using the immersed boundary method, the boundary source term is treated as the pipeline surface force, combined with the pipeline stress tensor and substituted into the pipeline elastic mechanics equation for coupled calculation, capable of handling fluid-solid interaction problems under complex boundary conditions. By iteratively updating the flow velocity and pipeline surface displacement until the pipeline elastic mechanics equation converges, accurate pipeline configuration information can be obtained, providing an important reference for pipeline design, installation, and maintenance, and helping to optimize the performance and safety of the pipeline system.

[0103] Assume that the fluid velocity field and pressure field of the current iteration are , and the displacement field of the pipeline is , and it is hoped to update these unknown quantities in the k+1th iteration, that is, to obtain new fluid velocity field, pressure field and pipeline displacement field.

[0104] According to the Newton-Raphson method, the nonlinear equation is linearized by performing Taylor series expansion on it and the updated formula is obtained. Assume that there is a nonlinear equation to be solved, and its Jacobian matrix is ​​JJ, which is expressed as:

[0105] ;

[0106] Among them, is the residual of the current solution, is the Jacobian matrix, and is the update amount of the solution. By linearizing the equation, we get the iterative update formula:

[0107] ;

[0108] In the coupled problem of fluid and pipeline, the fluid equation and pipeline deformation equation are solved iteratively. For each time step, the following nonlinear equations need to be solved:

[0109] ;

[0110] ;

[0111] where represents the nonlinear dynamic equation of the fluid, represents the modified fluid dynamics equations.

[0112] represents the nonlinear elastic deformation equation of the pipe. represents the nonlinear elastic deformation equation for the pipe. To couple these two equations, the boundary source term in the flow equation depends on the forces on the pipe surface (the pipe deformation). Therefore, the flow equation and the pipe deformation equation need to be updated simultaneously. and Coupling via the Immersed Boundary Method (IBM):

[0113] Specifically, the pipe deformation u s The external force f caused by the fluid s Influence of nonlinear elastic deformation equation The fluid reaction force is Enter the nonlinear dynamic equation , forming an iterative solution.

[0114] Step 1: Nonlinear iteration of the fluid equations:

[0115] For the fluid equation, starting from the current velocity field and pressure field, solve the next step of the fluid velocity field and pressure field. First calculate the residual of the fluid equation, and then calculate its Jacobian matrix , which represents the linearization of the fluid equations at the current iteration step:

[0116] ;

[0117] Then, the Newton-Raphson method is used to iteratively update the fluid velocity and pressure fields:

[0118] ;

[0119] Nonlinear iteration of the pipe deformation equation. For the pipe deformation equation, the nonlinear elastic mechanics equation is used to update the pipe displacement field. First, the residual of the pipe deformation equation is calculated, and then its Jacobian matrix is ​​calculated, which represents the linearization of the pipe deformation equation at the current iteration step:

[0120] ;

[0121] Next, the Newton-Raphson method is used to iteratively update the displacement field of the pipeline:

[0122] ;

[0123] During coupled iterations, the fluid and pipe solutions are coupled, as the surface forces in the pipe affect the fluid's velocity field, and changes in the fluid's velocity affect the pipe's deformation. In each iteration, the pipe's displacement field is first updated based on the current fluid state. The boundary source terms are then calculated based on the updated pipe displacements. Finally, the boundary source terms are incorporated into the fluid equations for an update.

[0124] Specifically, the boundary source term calculated in the fluid equations Depends on the force caused by pipe deformation. Force on the pipe surface It is calculated from the interaction between pipe deformation and fluid friction, and these forces are then fed back into the fluid equations.

[0125] Each time the fluid velocity and pipeline displacement are iteratively updated, these two steps are performed alternately until the velocity field and displacement field of the fluid and pipeline converge, thereby obtaining pipeline configuration indication information.

[0126] The following describes the present application using a specific application process:

[0127] Application of the stratified ocean current model. In deep-sea mining, the stratified effect of ocean currents directly affects the dynamic response of pipelines. The stratified ocean current model can be used to accurately calculate the non-uniform load of fluid on pipelines at different depths. The specific application steps are as follows:

[0128] Flow layer parameterization:

[0129] The ocean currents are divided into N layers based on ocean observation data (such as ADCP measurements), and the velocity distribution ui(z) of each layer is fitted by an exponential function or logarithmic law, for example:

[0130] ;

[0131] The perturbation function uses a random pulsation model (such as Gaussian white noise) to simulate turbulence.

[0132] Pipe load mapping:

[0133] The stratified flow velocity field is used as the initial condition of the Navier-Stokes equations to calculate the pressure distribution and shear force of the fluid on the pipe.

[0134] Engineering Application: During the pipeline design phase, this model is used to optimize the placement of counterweights to offset transverse vortex-induced vibrations (VIV) in specific flow layers.

[0135] Practical applications of the Neo-Hookean model;

[0136] The nonlinear elastic model is used to predict the stress concentration and fatigue life of pipelines under large deformation. The specific process is as follows:

[0137] Material parameter calibration: Determine the shear modulus through uniaxial tensile testing of pipeline materials and Lamé constant , for example, the parameters of a deep-sea steel pipe:

[0138] ;

[0139] When calculating stress-strain and safety assessment, the deformation gradient tensor (F) is substituted into the Neo-Hookean constitutive equation and the Cauchy stress is output. .

[0140] Engineering application: This model is implemented in finite element software (such as ABAQUS) to simulate the buckling behavior of pipelines under the impact of ocean currents. Combined with the Mises stress criterion, if (yield strength), triggering an early warning and adjusting the pipe wall thickness or material.

[0141] The coupled solution process of the immersed boundary method (IBM) is as follows:

[0142] Fluid-Structure Data Transfer: Pipe Surface Mesh Node Displacements Mapping to the fluid grid through the interpolation function to generate boundary source terms .

[0143] Key Step: Using the Discrete Dirac Function Ensure the conservation of force transmission.

[0144] Iterative Convergence Control: Setting the Residual Threshold ,like , determine coupling convergence. Engineering application: In a real-time monitoring system, the fluid-pipeline coupling status is updated every 0.1 seconds, dynamically adjusting mining system operating parameters (such as lifting speed).

[0145] See also Figure 2 , Figure 2 This is a schematic diagram of the structure of a pipeline configuration system in an ocean current provided by an embodiment of the present application, the system comprising:

[0146] A data acquisition module, configured to acquire ocean current data and determine the velocity distribution of each flow layer of the ocean current data;

[0147] a first calculation module for calculating the correspondence between the fluid velocity and the displacement on the pipe surface by using the stratified velocity field including the velocity distribution of each flow layer as the initial condition of the Navier-Stokes equation; the Navier-Stokes equation is used to describe the kinetic energy of the fluid;

[0148] The second calculation module is used to calculate the boundary source term based on the corresponding relationship between the fluid velocity on the pipeline surface and the displacement on the pipeline surface; the boundary source term is used to characterize the fluid reaction force caused by the movement of the pipeline surface;

[0149] A third calculation module is used to construct a nonlinear elastic deformation model of the pipeline under deformation conditions, wherein the nonlinear elastic deformation model is used to characterize the pipeline stress tensor;

[0150] A coupling calculation module is used to use the boundary source term as the pipeline surface force, substitute the pipeline stress tensor into the pipeline elasticity equation, use the immersed boundary method to couple the calculation of the pipeline elasticity equation, iteratively update the flow velocity and pipeline surface displacement until the pipeline elasticity equation converges to obtain pipeline configuration indication information.

[0151] The present application also provides an embodiment corresponding to a computer-readable storage medium. The computer-readable storage medium stores a computer program, which, when executed by a processor, implements the steps of the method described in the above method embodiment.

[0152] It is understandable that if the method in the above embodiment is implemented in the form of a software functional unit and sold or used as an independent product, it can be stored in a computer-readable storage medium. Based on this understanding, the technical solution of the present application, or the part that contributes to the prior art, or all or part of the technical solution can be embodied in the form of a software product. The computer software product is stored in a storage medium and executes all or part of the steps of the method described in each embodiment of the present application. The aforementioned storage medium includes: U disk, mobile hard disk, read-only memory (ROM), random access memory (RAM), disk or optical disk, and other media that can store program code.

[0153] The computer-readable storage medium provided in this embodiment includes the above-mentioned method, and the effect is the same as above.

[0154] This application also provides an electronic device, see Figure 3 , a structural diagram of an electronic device provided in an embodiment of the present application, such as Figure 3 As shown, a processor 1410 and a memory 1420 may be included.

[0155] The processor 1410 may include one or more processing cores, such as a 4-core processor, an 8-core processor, etc. The processor 1410 may be implemented in at least one hardware form of DSP (Digital Signal Processing), FPGA (Field-Programmable Gate Array), or PLA (Programmable Logic Array). The processor 1410 may also include a main processor and a coprocessor. The main processor is a processor for processing data in the awake state, also known as a CPU (Central Processing Unit); the coprocessor is a low-power processor for processing data in the standby state. In some embodiments, the processor 1410 may be integrated with a GPU (Graphics Processing Unit), which is responsible for rendering and drawing the content to be displayed on the display screen. In some embodiments, the processor 1410 may also include an AI (Artificial Intelligence) processor, which is used to process computing operations related to machine learning.

[0156] The memory 1420 may include one or more computer-readable storage media, which may be non-transitory. The memory 1420 may also include a high-speed random access memory, and a non-volatile memory, such as one or more disk storage devices, flash memory storage devices. In this embodiment, the memory 1420 is at least used to store the following computer program 1421, wherein, after the computer program is loaded and executed by the processor 1410, it can implement the relevant steps in the method performed by the electronic device side disclosed in any of the aforementioned embodiments. In addition, the resources stored in the memory 1420 may also include an operating system 1422 and data 1423, etc., and the storage method may be temporary storage or permanent storage. Among them, the operating system 1422 may include Windows, Linux, Android, etc.

[0157] In some embodiments, the electronic device may further include a display screen 1430 , an input / output interface 1440 , a communication interface 1450 , a sensor 1460 , a power supply 1470 , and a communication bus 1480 .

[0158] certainly, Figure 3 The structure of the electronic device shown does not constitute a limitation on the electronic device in the embodiment of the present application. In actual applications, the electronic device may include Figure 3 More or fewer components than shown, or combinations of certain components.

[0159] The various embodiments in this specification are described in a progressive manner, with each embodiment focusing on the differences from other embodiments. Reference can be made to the common and similar parts between the various embodiments. For the systems provided in the embodiments, since they correspond to the methods provided in the embodiments, the description is relatively simple, and the relevant parts can be referred to the method description.

[0160] This document uses specific examples to illustrate the principles and implementation methods of this application. The description of the above examples is only intended to help understand the method and core ideas of this application. It should be noted that for those skilled in the art, without departing from the principles of this application, various improvements and modifications can be made to this application, and such improvements and modifications also fall within the scope of protection of this application.

[0161] It should also be noted that, in this specification, relational terms such as first and second, etc., are used only to distinguish one entity or operation from another entity or operation, and do not necessarily require or imply any such actual relationship or order between these entities or operations. Moreover, the terms "comprises," "comprising," or any other variants thereof are intended to cover non-exclusive inclusion, such that a process, method, article, or apparatus comprising a series of elements includes not only those elements, but also other elements not explicitly listed, or elements inherent to such process, method, article, or apparatus. In the absence of further limitations, an element defined by the phrase "comprising a ..." does not exclude the presence of additional identical elements in the process, method, article, or apparatus comprising the element.

Claims

1. A method for configuring pipelines in ocean currents, characterized in that: include: Acquiring ocean current data and determining the velocity distribution of each flow layer of the ocean current data; The stratified velocity field including the velocity distribution of each flow layer is used as the initial condition of the Navier-Stokes equation to calculate the corresponding relationship between the fluid velocity and the displacement on the pipe surface; the Navier-Stokes equation is used to describe the motion of the fluid; Calculating a boundary source term based on the correspondence between the fluid velocity and the displacement on the pipeline surface; the boundary source term is used to characterize the fluid reaction force caused by the movement of the pipeline surface; Constructing a nonlinear elastic deformation model of the pipeline under deformation conditions, wherein the nonlinear elastic deformation model is used to characterize the stress tensor of the pipeline; The boundary source term is used as the pipeline surface force and is combined with the pipeline stress tensor to be substituted into the pipeline elasticity equation. The pipeline elasticity equation is calculated using the immersed boundary method, and the flow velocity and pipeline surface displacement are iteratively updated until the pipeline elasticity equation converges to obtain pipeline configuration indication information.

2. The method according to claim 1, characterized in that Determining the velocity distribution of each flow layer of the ocean current data includes: The velocity distribution of each flow layer of the ocean current data is fitted by an exponential function or a logarithmic law, and the turbulence in the ocean current data is simulated by a perturbation function.

3. The method according to claim 1, characterized in that The corresponding relationship between the fluid velocity on the pipe surface and the displacement on the pipe surface also includes: Calculate the nonlinear friction force between the velocity field of the fluid in the pipeline and the displacement field of the pipeline surface based on the friction coefficient; The nonlinear friction force is added to the boundary source term to couple to the Navier-Stokes equations.

4. The method according to claim 1, wherein Constructing a nonlinear elastic deformation model of a pipeline under deformation conditions includes: defining a deformation gradient tensor of the pipeline according to the initial coordinates and the deformed coordinates of the pipeline; Calculating a Lagrangian strain tensor based on the unit matrix and the deformation gradient tensor; the Lagrangian strain tensor is used to characterize the response of the pipeline to the disturbance; Calculating a stress tensor of the pipeline based on the deformation gradient tensor; the stress tensor is used to characterize the stress state of the pipeline during the deformation process; An equivalent relationship between the stress tensor, the elastic tensor of the pipeline material and the Lagrangian strain tensor is established to obtain a nonlinear elastic deformation model of the pipeline under deformation conditions.

5. The method according to claim 4, characterized in that Calculating the stress tensor of the pipeline according to the deformation gradient tensor includes: The stress tensor of the pipeline is calculated according to the deformation gradient tensor, the Lame constant of the pipeline material, the unit tensor and the shear modulus of the pipeline material.

6. The method according to claim 4 or 5, characterized in that When building a nonlinear elastic deformation model of a pipeline under deformation conditions, it also includes: The second-order strain tensor of the pipeline is calculated based on the gradient tensor of the displacement field; the second-order strain tensor is used to describe the nonlinear shear and rotation effects of the pipeline during deformation, so as to correct the stress tensor.

7. The method according to claim 1, characterized in that The pipeline elasticity equation is calculated by coupling with the immersed boundary method, and the flow velocity and pipeline surface displacement are iteratively updated until the pipeline elasticity equation converges, and the pipeline configuration indication information is obtained, including: Mapping the surface mesh node displacements of the pipeline to the stratified velocity field through an interpolation function to obtain a boundary source term; Add a discrete function and set a residual threshold; the discrete function is used to ensure the conservation of force transmission, and the residual threshold is used to determine the coupling convergence; When the coupling of the pipeline elastic mechanics equation converges, pipeline configuration instruction information is output; the pipeline configuration instruction information includes at least one of mining operation parameter adjustment and pipeline parameter adjustment.

8. A pipeline configuration system in ocean currents, characterized in that: include: A data acquisition module, configured to acquire ocean current data and determine the velocity distribution of each flow layer of the ocean current data; a first calculation module for calculating the correspondence between the fluid velocity and the displacement on the pipe surface by using the stratified velocity field including the velocity distribution of each flow layer as the initial condition of the Navier-Stokes equation; the Navier-Stokes equation is used to describe the kinetic energy of the fluid; The second calculation module is used to calculate the boundary source term based on the corresponding relationship between the fluid velocity on the pipeline surface and the displacement on the pipeline surface; the boundary source term is used to characterize the fluid reaction force caused by the movement of the pipeline surface; A third calculation module is used to construct a nonlinear elastic deformation model of the pipeline under deformation conditions, wherein the nonlinear elastic deformation model is used to characterize the pipeline stress tensor; A coupling calculation module is used to use the boundary source term as the pipeline surface force, substitute the pipeline stress tensor into the pipeline elasticity equation, use the immersed boundary method to couple the calculation of the pipeline elasticity equation, iteratively update the flow velocity and pipeline surface displacement until the pipeline elasticity equation converges to obtain pipeline configuration indication information.

9. An electronic device, characterized in that: include: memory for storing computer programs; A processor, configured to implement the steps of the method according to any one of claims 1 to 7 when executing the computer program.

10. A computer-readable storage medium, characterized in that The computer-readable storage medium stores a computer program, which implements the steps of the method according to any one of claims 1 to 7 when executed.

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