Method, device and equipment for calculating dynamic shear strain of deep-sea sediment
By constructing a dynamic shear rheological constitutive equation and separating static and dynamic strain components, the problem of insufficient accuracy of shear strain in deep-sea sediments under dynamic disturbance was solved, and high-precision dynamic shear strain calculation was achieved, providing reliable theoretical support for the safe design of deep-sea mining vehicles.
Patent Information
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- CENT SOUTH UNIV
- Filing Date
- 2026-03-10
- Publication Date
- 2026-05-08
AI Technical Summary
Existing technologies are insufficient to accurately describe the transient response characteristics of shear strain in deep-sea soft sediments under dynamic disturbances, leading to problems such as slippage and sinking of deep-sea mining vehicles during startup, acceleration, and vibration disturbances, and failing to provide reliable theoretical support.
A dynamic shear rheological constitutive equation is constructed using the Burgers rheological element model. Parameters are calibrated using transient disturbance response data and long-term creep deformation data. Static and dynamic strain components are separated. Shear strain at unknown frequencies is predicted by combining piecewise cubic Hermite interpolation and the compliance increment method, achieving high-precision calculation.
It achieves high-precision calculation of dynamic shear strain in deep-sea sediments, applicable to different shear stress and loading frequency conditions, and provides theoretical support for the safe operation of deep-sea mining vehicles.
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Figure CN121835514B_ABST
Abstract
Description
Technical Field
[0001] This application relates to the field of data processing technology, and in particular to a method, apparatus and equipment for calculating dynamic shear strain of deep-sea sediments. Background Technology
[0002] With the continuous rise in global demand for mineral resources, deep-sea mineral resource development has become an important direction for supporting future economic and energy security. As the core equipment of deep-sea mining systems, the operational stability of deep-sea mining vehicles directly affects mining efficiency and safety. However, deep-sea soft sediments are characterized by high water content, low shear strength, and significant rheological properties. Under dynamic loads such as starting, acceleration, and vibration disturbances, these sediments are prone to transient structural damage and long-term creep deformation, leading to problems such as slippage and sinking of the mining vehicles.
[0003] Dynamic shear strain is a core parameter characterizing the rheological properties and structural evolution of deep-sea sediments, and its calculation accuracy directly determines the reliability of mining vehicle traction optimization and startup strategy formulation. Existing sediment rheological models mostly focus on static loads or steady-state conditions, failing to fully consider the transient response characteristics from structural failure to a stable state under dynamic disturbances, and neglecting the synergistic effect of loading frequency and shear stress. Traditional models employ constant-parameter constitutive relations, which struggle to accurately describe the evolution of mechanical properties caused by sediment microstructure rearrangement. This results in insufficient accuracy and limited applicability in predicting dynamic shear strain, failing to provide reliable theoretical support for the safe design of deep-sea mining vehicles.
[0004] In summary, a general method for calculating the dynamic shear strain of deep-sea sediments is needed to enable convenient, rapid, and accurate calculation of the dynamic shear strain of deep-sea sediments, which can then be used for the dynamic analysis of mining vehicle start-up slippage. Summary of the Invention
[0005] This application proposes a method, apparatus, and equipment for calculating dynamic shear strain in deep-sea sediments, which can solve one of the problems existing in the background art.
[0006] To achieve the above objectives, this application adopts the following technical solution:
[0007] Firstly, a method for calculating dynamic shear strain in deep-sea sediments is provided, including:
[0008] Dynamic shear rheological experiments were conducted on target deep-sea sediments to collect transient disturbance response data and long-term creep deformation data.
[0009] Based on the Burgers rheological element model, a dynamic shear rheological constitutive equation is constructed. The dynamic shear rheological constitutive equation includes static strain components and dynamic strain components, which are expressed by time-related structural evolution parameters.
[0010] Using the transient perturbation response data and the long-term creep deformation data, the parameters in the dynamic shear rheological constitutive equation are calibrated; and,
[0011] Using the calibrated parameters, the calculation results of the dynamic shear rheological constitutive equation are obtained.
[0012] In one possible design approach of the first aspect, the dynamic shear rheological constitutive equation is:
[0013]
[0014]
[0015] Where t is time, The total dynamic shear strain of the target deep-sea sediment under the corresponding working conditions. It is static shear stress. Instantaneous shear modulus, , Viscosity modulus, Shear modulus , For loading frequency, , For structural evolution parameters, , For structural stability characteristic time, To stabilize the shear modulus, It is the ratio of instantaneous shear stress to shear strain.
[0016] In one possible design approach of the first aspect, the parameters in the dynamic shear rheological constitutive equation are calibrated using the transient perturbation response data and the long-term creep deformation data, specifically including:
[0017] A global dataset is constructed by selecting the intermediate curves from each loading frequency data group, and the parameters are determined by fitting using the least squares method. , , and ;as well as,
[0018] The structural stability characteristic time was obtained through local fitting. .
[0019] In one possible design approach for the first aspect, the fitting process uses the root mean square coefficient of variation as an evaluation metric.
[0020] In one possible design approach of the first aspect, the calculation results of the dynamic shear rheological constitutive equation are obtained using the calibrated parameters, specifically including:
[0021] Separate the static strain component and the dynamic strain component;
[0022] Substituting the calibrated parameters into the static strain components and the dynamic strain components respectively, the static strain component calculation results and the dynamic strain component calculation results are obtained; and...
[0023] By superimposing the calculation results of the static strain components and the dynamic strain components, the calculation results of the dynamic shear rheological constitutive equation are obtained.
[0024] In one possible design approach of the first aspect, the method for calculating the dynamic shear strain of deep-sea sediments further includes:
[0025] The parameters in the dynamic shear rheological constitutive equation at unknown frequencies are predicted using piecewise cubic Hermite interpolation and the compliance increment method.
[0026] In one possible design approach of the first aspect, dynamic shear rheology experiments are conducted on the target deep-sea sediments, specifically as follows:
[0027] Obtain the physical parameters and dynamic shear loading parameters of the target deep-sea sediment; and,
[0028] Based on the physical parameters and the dynamic shear loading parameters, dynamic shear rheological experiments were conducted on the target deep-sea sediments.
[0029] In one possible design approach of the first aspect, the method for calculating the dynamic shear strain of deep-sea sediments further includes:
[0030] The reliability of the calculation results was verified using the root mean square coefficient of variation of the experimental data.
[0031] Secondly, a device for calculating dynamic shear strain in deep-sea sediments is provided, comprising:
[0032] The data acquisition unit is used to conduct dynamic shear rheological experiments on target deep-sea sediments and to collect transient disturbance response data and long-term creep deformation data.
[0033] The building unit is used to construct a dynamic shear rheological constitutive equation based on the Burgers rheological element model. The dynamic shear rheological constitutive equation includes static strain components and dynamic strain components, which are expressed by time-related structural evolution parameters.
[0034] A calibration unit is used to calibrate the parameters in the dynamic shear rheological constitutive equation using the transient perturbation response data and the long-term creep deformation data; and,
[0035] The calculation unit uses the calibrated parameters to obtain the calculation results of the dynamic shear rheological constitutive equation.
[0036] Thirdly, an electronic device is provided, comprising: a processor, and a memory coupled to the processor, the memory for storing a computer program; the processor for executing the computer program stored in the memory such that the electronic device performs the deep-sea sediment dynamic shear strain calculation method as described in any possible implementation of the first aspect.
[0037] Beneficial effects:
[0038] Based on the above technical solution, transient disturbance response data and long-term creep deformation data were first collected through experiments. A dynamic shear rheological constitutive equation, including static strain components and dynamic strain components, was constructed. Each strain component was expressed through time-related structural evolution parameters. Then, the parameters in the constitutive equation were calibrated using the collected data. These parameters were substituted into the constitutive equation to obtain the calculation results. In this way, the structural evolution parameters were innovatively introduced to couple transient disturbance and long-term creep characteristics. Through dynamic-static separation solution and multi-parameter collaborative prediction, high-precision calculation of dynamic shear strain was achieved. It is applicable to different shear stress and loading frequency conditions, providing reliable theoretical support for the safe operation design of deep-sea mining vehicles. Attached Figure Description
[0039] To more clearly illustrate the technical solutions in the embodiments of this application, the drawings used in the description of the embodiments or related technologies will be briefly introduced below. Obviously, the drawings described below are only some embodiments of the embodiments of this application. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.
[0040] Figure 1 This is a schematic diagram of the method flow provided in the embodiments of this application.
[0041] Figure 2 A schematic diagram of the structure of the test system provided in the embodiments of this application.
[0042] Figure 3 A schematic diagram of the component combination of the improved constitutive model provided in the embodiments of this application.
[0043] Figure 4 This is a schematic diagram of the total dynamic shear strain curve provided in an embodiment of this application.
[0044] Figure 5 A comparison chart of long-term dynamic shear strain calculation results and experimental data provided for embodiments of this application (f=1Hz).
[0045] Figure 6A comparison chart of short-time dynamic shear strain calculation results and experimental data provided for embodiments of this application (f=2Hz). Detailed Implementation
[0046] To make the objectives, technical solutions, and advantages of this application clearer, the following detailed description is provided in conjunction with the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative and not intended to limit the scope of this application.
[0047] It should be noted that although functional modules are divided in the device schematic diagram and a logical order is shown in the flowchart, in some cases, the steps shown or described may be performed in a different order than the module division in the device or the order in the flowchart. The terms "first," "second," etc., in the specification, claims, and the aforementioned drawings are used to distinguish similar objects and are not necessarily used to describe a specific order or sequence.
[0048] Unless otherwise defined, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this application belongs. The terminology used herein is for the purpose of describing embodiments of this application only and is not intended to limit this application.
[0049] like Figure 1 As shown in this embodiment, the method for calculating dynamic shear strain in deep-sea sediments includes the following steps:
[0050] Step S1: Obtain the physical parameters and dynamic shear loading parameters of the target deep-sea sediment;
[0051] Step S2: Conduct dynamic shear rheological tests on the target deep-sea sediments and collect transient disturbance response data and long-term creep deformation data;
[0052] Step S3: Based on the Burgers rheological element model, introduce structural evolution parameters to construct an improved dynamic shear rheological constitutive equation;
[0053] Step S4: Based on the data collected in step S2, the core parameters of the improved constitutive equation are calibrated using the least squares method;
[0054] Step S5: If there is an unknown frequency in the loading condition, use piecewise cubic Hermite interpolation and compliance increment method to predict the model parameters at the corresponding frequency.
[0055] Step S6: Substitute the model parameters calibrated in step S4 or predicted in step S5 into the improved constitutive equation, separate the static and dynamic strain components and superimpose them to calculate the total dynamic shear strain of the target deep-sea sediment.
[0056] Step S7: Verify the reliability of the total dynamic shear strain calculation and output the final result of the dynamic shear strain of the target deep-sea sediment.
[0057] Step S1 specifically includes the following steps:
[0058] The physical parameters of the target deep-sea sediments include water content, wet density, cohesion, and friction angle; the dynamic shear loading parameters include axial compressive stress, shear stress level, and loading frequency, wherein the axial compressive stress is set to 5 kPa, the shear stress level ranges from 2 to 6 ± 0.8 kPa, and the loading frequency ranges from 1 to 4 Hz.
[0059] Step S2 specifically includes the following steps:
[0060] Adopting such Figure 2 The biaxial testing system shown was used to conduct dynamic shear rheological tests. During the test, the moisture content of the sample was kept stable through a water bath. In the short-term phase (initial 10s), 20 data points were collected per loading cycle to capture transient disturbance responses. In the long-term phase (lasting 2h), data were collected at a frequency of 1 data point per second to record long-term creep deformation characteristics. The test was performed by loading in stages. First, the sample was consolidated to a stable state under axial compressive stress, and then a specified shear stress and dynamic disturbance were applied.
[0061] Figure 2 The diagram shows the overall structure of a VJ commercial dynamic shear testing system. This system applies static shear loads to specimens under controlled conditions and superimposes periodic dynamic disturbances to obtain the deformation response of materials under dynamic shear conditions. The system mainly consists of three parts: a testing system, a data acquisition system, and a data processing system.
[0062] (1) Dynamic Testing Unit
[0063] The testing system is the core component for realizing dynamic shear loading and specimen deformation measurement, mainly comprising a loading device, a vibration device, a specimen assembly, and a measurement unit. The loading device applies a constant static shear stress to the specimen; the vibration device superimposes controllable periodic dynamic disturbances onto the static load. The specimen is mounted in a shear box within the loading device, and the shear load is effectively transferred to the specimen's interior through the shear structure. Displacement gauges are mounted on the loading structure to measure the specimen's displacement changes in real time during the shearing process, thereby obtaining the evolution characteristics of shear deformation over time.
[0064] (2) Data Acquisition System
[0065] The data acquisition system is used to synchronously acquire and digitally process analog signals such as displacement and load generated during the experiment. This system can continuously acquire experimental signals according to a preset sampling frequency and transmit the acquired raw data to the data processing system for storage and analysis.
[0066] (3) Data Processing System
[0067] The data processing system is used to preprocess and analyze the acquired experimental data, including signal filtering, time synchronization, and deformation parameter calculation. Through this system, the deformation response of the specimen under dynamic shear can be extracted from the original displacement signal, providing fundamental data for subsequent rheological analysis and model parameter identification.
[0068] During the test, the specimen was first subjected to a constant static shear stress in the loading device; subsequently, a vibration device applied periodic dynamic disturbances, placing the specimen in a static-dynamic superimposed shear state. The deformation response of the specimen under this loading condition was measured in real time by a displacement gauge, recorded by a data acquisition system, and finally analyzed by a data processing system.
[0069] Figure 3 This is a schematic diagram of the structure and mechanical response mechanism of the Burgers shear rheological element model in step S3. The model uses a Maxwell element (composed of an elastic element G1 and a viscous element η1 connected in series, used to describe the irreversible time-dependent deformation behavior and instantaneous elastic behavior of the material under shear load) connected in series with a Kelvin element (composed of an elastic element G2 and a viscous element η2 connected in parallel, used to describe the delayed elastic deformation behavior of the material under shear load) to describe the simultaneous instantaneous elastic deformation, delayed elastic deformation, and long-term viscous flow behavior of the material under shear load.
[0070] Step S3 specifically includes the following steps:
[0071] Since the shear stress is a harmonic load, assuming that the dynamic-static coupling effect is small and can be ignored, the shear stress can be solved separately using the dynamic-static separation method. After superposition, the dynamic shear rheological response under dynamic shear stress conditions can be obtained:
[0072]
[0073] Response to static loading conditions:
[0074]
[0075] The expression for the response corresponding to the dynamic loading condition is expressed through the creep compliance:
[0076]
[0077] Combining the dynamic shear stress expression: ,get:
[0078]
[0079] Solving the integral yields the strain corresponding to the dynamic loading condition:
[0080]
[0081] in, .
[0082] The expression for Burgers' dynamic shear strain is further obtained as follows:
[0083]
[0084] Structural evolution parameters The value range of is (0, 1), and the explicit expression is . ,in, The structural stability characteristic time is the time required for the shear modulus to decay to approximately 95% of the difference between the initial and stable values after the initial disturbance.
[0085] Through structural evolution parameters and instantaneous shear modulus Establish a connection:
[0086]
[0087] in, To stabilize the shear modulus, It is the ratio of instantaneous shear stress to shear strain;
[0088] The final improved dynamic shear rheological constitutive equation is obtained as follows:
[0089]
[0090] in, Static shear stress, This represents the dynamic shear stress amplitude. , For loading frequency, , Viscosity modulus, Here, t represents the shear modulus, and t represents time.
[0091] Step S4 specifically includes the following steps:
[0092] The improved rheological model was validated using experimental data with loading frequencies of 1Hz, 2Hz, and 4Hz as the training set for parameter identification, and a dataset with a loading frequency of f=3Hz as the validation set. A two-stage fitting strategy of global first and local second was adopted.
[0093] Specifically, we first select the intermediate curves of each frequency group to construct a global dataset, and then fit and determine the shear modulus parameter. , and viscosity modulus parameters , Then, the structural stability characteristic time is obtained through local fitting. The least squares method was used for fitting based on Matlab 2024 software.
[0094] The root mean square coefficient of variation (CVRMSE) was used as the evaluation index during the fitting process to ensure that the fitting accuracy met the requirements.
[0095] Step S5 specifically includes the following steps:
[0096] for , , The parameters are used for frequency prediction using a piecewise cubic Hermite interpolation method.
[0097] for Parameters are based on actual measurements. A compliance increment prediction method based on the principle of using ... (in (The interpolation amount for the flexibility increment) is obtained by back-calculation. .
[0098] ΔJ is obtained by extracting the trend softness J(t) from the original curve and then calculating the difference between the initial and final segments.
[0099] ΔJ = J(∞) - J(0)
[0100] J(t) = γ trend (t) / τ0
[0101] Where, γ trend (t) is the strain that averages the vibration response.
[0102] Step S6 specifically includes the following steps:
[0103] Substitute the model parameters calibrated in step S4 (1Hz, 2Hz, 4Hz conditions) and / or the model parameters predicted in step S5 (unknown frequency condition) into the improved dynamic shear rheological constitutive equation, and calculate the total dynamic shear strain according to the following steps:
[0104] A. Separating static strain components: Based on the constitutive equation The item calculates the elastic strain, steady-state viscous flow strain, and decaying creep strain corresponding to static shear stress.
[0105] B. Separating dynamic strain components: Based on the constitutive equation Item, substitute ( (where the loading frequency is used) to calculate the periodic strain corresponding to the dynamic shear stress;
[0106] C. Superimposed strain components: The static strain components are superimposed with the dynamic strain components to obtain the total dynamic shear strain of the target deep-sea sediment under the corresponding working conditions. ;
[0107] D. Solving for characteristic strain values: such as Figure 4 The instantaneous shear strain is extracted from the total dynamic shear strain curve. The strain is categorized into instantaneous strain, steady-state shear strain (strain during the linearly increasing segment of the long-term test), and cumulative shear strain (total strain at the end of the test).
[0108] Step S7 specifically includes the following steps:
[0109] Calculate the root mean square coefficient of variation (CVRMSE) of the total dynamic shear strain and the experimental data, and determine whether it is within the allowable deviation (≤10%).
[0110] If the deviation is within the allowable deviation, the calculation is considered reliable, and the instantaneous shear strain, steady-state shear strain, and cumulative shear strain are output.
[0111] If the deviation exceeds the allowable deviation, adjust the structural stability characteristic time T. θ Return to step S6 and recalculate.
[0112] Specific application examples
[0113] The method for calculating dynamic shear strain in deep-sea sediments in this application example includes the following steps:
[0114] Step S1: Obtain the physical parameters and dynamic shear loading parameters of the target deep-sea sediment; specifically: select deep-sea sediment simulation soil (water content 230%, wet density 1.371 g / cm³, cohesion 6.5 kPa, internal friction angle 1.96°), set the axial compressive stress to 5 kPa, the shear stress level to 2~6±0.8 kPa, and the loading frequency to 1~4 Hz.
[0115] Step S2: Conduct dynamic shear rheological tests on the target deep-sea sediments to collect transient disturbance response data and long-term creep deformation data; specifically, using the British VJTech biaxial testing system (…). Figure 2The moisture content of the sample was kept stable by using a water bath box. During the short-term phase (initial 10s), 20 data points were collected per loading cycle, and during the long-term phase (2h), 1 data point was collected per second. Loading and data collection were completed in stages.
[0116] Step S3, based on the Burgers rheological element model ( Figure 3 An improved dynamic shear rheological constitutive equation is constructed by introducing structural evolution parameters; the structural evolution parameters are: , The constitutive equation is:
[0117]
[0118] Step S4: Based on the data collected in step S2, the core parameters of the improved constitutive equation are calibrated using the least squares method; using the experimental data at 1Hz, 2Hz, and 4Hz as the training set, the parameters are first determined through global fitting. , , , Then, local fitting is used to obtain the structural stability characteristic time. .
[0119] Step S5: If an unknown frequency (e.g., 3Hz) exists in the loading condition, piecewise cubic Hermite interpolation is used for prediction. , , Predicting using the flexibility increment method .
[0120] Step S6: Substitute the calibrated or predicted model parameters into the improved constitutive equation, separate the static and dynamic strain components and superimpose them to calculate the total dynamic shear strain.
[0121] Step S7: Verify the reliability of the total dynamic shear strain calculation and output the final result; calculate CVRMSE. If ≤10%, output the instantaneous, steady-state, and cumulative shear strains; otherwise, adjust... Recalculate.
[0122] The following section provides further explanation of the method used in this application example, using specific experimental data:
[0123] 1. Calculation conditions:
[0124] The samples were simulated deep-sea sediment soils, with loading frequencies of f = 1 Hz, 2 Hz, 3 Hz, and 4 Hz, and shear stress τ = 2–6 kPa ± 0.8 kPa. The dynamic shear strain was calculated using the method of this invention and compared with experimental data and the results of fitting the traditional Burgers model.
[0125] 2. Calculation results:
[0126] Figure 5 , Figure 6 The calculated dynamic shear strain results for 1Hz long-time and 2Hz short-time are compared with experimental data, showing that the fitting curve of the method of this invention is in high agreement with the experimental data. Table 1 lists the comparison of the calculation results of this method and the traditional Burgers model under different working conditions, including R2 and the fluctuation of the calculation results. Although the R2 of this method in the short-time range of 0 to 0.62 is lower than that of the traditional Burgers model (R2 = 0.91 to 0.95), the calculation results of this method have dynamic fluctuations, which better reflects the changes in shear strain under dynamic loading. In addition, the R2 of this method in the long-time range of 0.82 to 0.96 is better than that of the traditional Burgers model (R2 = 0.78 to 0.79).
[0127] Table 1. Comparison of calculation results between the method in this application example and the traditional Burgers model.
[0128]
[0129] This application also provides a device for calculating the dynamic shear strain of deep-sea sediments, including:
[0130] The data acquisition unit is used to conduct dynamic shear rheological experiments on target deep-sea sediments and to collect transient disturbance response data and long-term creep deformation data.
[0131] The building unit is used to construct a dynamic shear rheological constitutive equation based on the Burgers rheological element model. The dynamic shear rheological constitutive equation includes static strain components and dynamic strain components, which are expressed by time-related structural evolution parameters.
[0132] A calibration unit is used to calibrate the parameters in the dynamic shear rheological constitutive equation using the transient perturbation response data and the long-term creep deformation data; and,
[0133] The calculation unit uses the calibrated parameters to obtain the calculation results of the dynamic shear rheological constitutive equation.
[0134] This application also provides an electronic device, including: a processor, and a memory coupled to the processor, the memory being used to store a computer program; the processor being used to execute the computer program stored in the memory, so that the electronic device performs the method as described in any of the above embodiments.
[0135] Electronic devices can be computing devices such as desktop computers, laptops, handheld computers, and cloud servers. These electronic devices may include, but are not limited to, processors and memory.
[0136] The processor can be a Central Processing Unit (CPU), or other general-purpose processors, digital signal processors (DSPs), application-specific integrated circuits (ASICs), field-programmable gate arrays (FPGAs), or other programmable logic devices, discrete gate or transistor logic devices, discrete hardware components, etc. A general-purpose processor can be a microprocessor or any conventional processor. The processor is the control center of the electronic device, connecting various parts of the device via various interfaces and lines.
[0137] The memory can be used to store the computer program, and the processor implements various functions of the electronic device by running or executing the computer program stored in the memory and calling the data stored in the memory.
[0138] The memory may primarily include a program storage area and a data storage area. The program storage area may store the operating system, applications required for at least one function, etc.; the data storage area may store data created based on the use of the mobile phone, etc. In addition, the memory may include high-speed random access memory, and may also include non-volatile memory, such as hard disk, memory, plug-in hard disk, smart media card (SMC), secure digital (SD) card, flash card, at least one disk storage device, flash memory device, or other volatile solid-state storage device.
[0139] This application also provides a storage medium, which is a computer-readable storage medium. The computer program is stored in the computer-readable storage medium, and when executed by a processor, the computer program can implement the steps of the various method embodiments described above. The computer program includes computer program code, which can be in the form of source code, object code, executable file, or some intermediate form. The computer-readable medium can include: any entity or device capable of carrying the computer program code, a recording medium, a USB flash drive, a portable hard drive, a magnetic disk, an optical disk, a computer memory, a read-only memory (ROM), a random access memory (RAM), an electrical carrier signal, a telecommunication signal, and a software distribution medium, etc.
[0140] This application also provides a computer program product, including: a computer program or instructions that, when the computer program or instructions are run on a computer, cause the computer to perform any of the above possible implementation methods.
[0141] The above description is the preferred embodiment of this application. It should be noted that for those skilled in the art, several improvements and modifications can be made without departing from the principle of this application, and these improvements and modifications are also considered to be within the scope of protection of this application.
Claims
1. A method for calculating dynamic shear strain in deep-sea sediments, characterized in that, include: Dynamic shear rheological experiments were conducted on target deep-sea sediments to collect transient disturbance response data and long-term creep deformation data. Based on the Burgers rheological element model, a dynamic shear rheological constitutive equation is constructed, wherein the dynamic shear rheological constitutive equation includes static strain components and dynamic strain components, which are expressed by time-related structural evolution parameters. Using the transient perturbation response data and the long-term creep deformation data, the parameters in the dynamic shear rheological constitutive equation are calibrated; and, Using the calibrated parameters, the calculation results of the dynamic shear rheological constitutive equation are obtained. The dynamic shear rheological constitutive equation is: Where t is time, The total dynamic shear strain of the target deep-sea sediment under the corresponding working conditions. It is static shear stress. Instantaneous shear modulus, , Viscosity modulus, Shear modulus , For loading frequency, , For structural evolution parameters, , For structural stability characteristic time, To stabilize the shear modulus, It is the ratio of instantaneous shear stress to shear strain.
2. The method for calculating dynamic shear strain of deep-sea sediments as described in claim 1, characterized in that, Using the transient perturbation response data and the long-term creep deformation data, the parameters in the dynamic shear rheological constitutive equation are calibrated, specifically including: A global dataset is constructed by selecting the intermediate curves from each loading frequency data group, and the parameters are determined by fitting using the least squares method. , , and ;as well as, The structural stability characteristic time was obtained through local fitting. .
3. The method for calculating dynamic shear strain of deep-sea sediments as described in claim 2, characterized in that, The root mean square coefficient of variation was used as the evaluation index for the fitting process.
4. The method for calculating dynamic shear strain of deep-sea sediments as described in claim 1, characterized in that, Using the calibrated parameters, the calculation results of the dynamic shear rheological constitutive equation are obtained, specifically including: Separate the static strain component and the dynamic strain component; Substituting the calibrated parameters into the static strain components and the dynamic strain components respectively, the static strain component calculation results and the dynamic strain component calculation results are obtained; and... By superimposing the calculation results of the static strain components and the dynamic strain components, the calculation results of the dynamic shear rheological constitutive equation are obtained.
5. The method for calculating dynamic shear strain of deep-sea sediments as described in claim 1, characterized in that, The method for calculating dynamic shear strain in deep-sea sediments also includes: The parameters in the dynamic shear rheological constitutive equation at unknown frequencies are predicted using piecewise cubic Hermite interpolation and the compliance increment method.
6. The method for calculating dynamic shear strain of deep-sea sediments as described in claim 1, characterized in that, Dynamic shear rheological experiments were conducted on the target deep-sea sediments, specifically as follows: Obtain the physical parameters and dynamic shear loading parameters of the target deep-sea sediment; and, Based on the physical parameters and the dynamic shear loading parameters, dynamic shear rheological experiments were conducted on the target deep-sea sediments.
7. The method for calculating dynamic shear strain of deep-sea sediments as described in claim 1, characterized in that, The method for calculating dynamic shear strain in deep-sea sediments also includes: The reliability of the calculation results was verified using the root mean square coefficient of variation of the experimental data.
8. A device for calculating dynamic shear strain in deep-sea sediments, characterized in that, include: The data acquisition unit is used to conduct dynamic shear rheological experiments on target deep-sea sediments and to collect transient disturbance response data and long-term creep deformation data. The building unit is used to construct a dynamic shear rheological constitutive equation based on the Burgers rheological element model. The dynamic shear rheological constitutive equation includes static strain components and dynamic strain components, which are expressed by time-related structural evolution parameters. A calibration unit is used to calibrate the parameters in the dynamic shear rheological constitutive equation using the transient perturbation response data and the long-term creep deformation data; and, The calculation unit, using the calibrated parameters, obtains the calculation results of the dynamic shear rheological constitutive equation. The dynamic shear rheological constitutive equation is: Where t is time, The total dynamic shear strain of the target deep-sea sediment under the corresponding working conditions. It is static shear stress. Instantaneous shear modulus, , Viscosity modulus, Shear modulus , For loading frequency, , For structural evolution parameters, , For structural stability characteristic time, To stabilize the shear modulus, It is the ratio of instantaneous shear stress to shear strain.
9. An electronic device, characterized in that, The electronic device includes: a processor, and a memory coupled to the processor. The memory is used to store computer programs; The processor is configured to execute the computer program stored in the memory, so that the electronic device performs the deep-sea sediment dynamic shear strain calculation method as described in any one of claims 1-7.