A method and device for obtaining the scope of application of a plant root anchoring effect

Abstract

The application discloses a plant root anchoring effect applicable range acquisition method and device. The plant root anchoring effect applicable range acquisition method comprises the following steps: acquiring plant parameter information to be detected; acquiring a plant root anchoring effect index model; inputting the plant parameter information to be detected into the plant root anchoring effect index model, so as to acquire a plant root anchoring effect index; acquiring an index suggestion reference table, wherein the index suggestion reference table comprises at least one preset numerical interval and an applicable suggestion corresponding to each preset numerical interval; and acquiring an applicable suggestion corresponding to a preset numerical interval in which the plant root anchoring effect index is located. The plant root anchoring effect applicable range acquisition method integrates multiple root system parameters into a comparable index, is used for evaluating the strength of the plant root anchoring capacity, and is convenient for engineering plant selection and slope stability design.

Description

Technical Field

[0001] This application relates to the field of soil and water conservation technology, specifically to a method and device for obtaining the applicable range of plant root anchoring effect. Background Technology

[0002] Currently, slope reinforcement and soil and water conservation projects commonly use methods such as anchor bolts, shotcrete, and geogrids. While these methods effectively enhance slope stability, they often involve high energy consumption, high costs, and significant disturbance to the ecological environment. Plant-based soil stabilization methods, however, are gaining attention due to their low-carbon, environmentally friendly, and cost-effective characteristics. Nevertheless, traditional plant-based soil stabilization methods largely rely on the natural growth of plant roots, lacking scientific evaluation and construction guidance. Issues such as unstable anchoring effects, long cycles, and weak erosion resistance limit their engineering application.

[0003] The "plant root anchoring effect" refers to the interaction between plant roots and soil through physical, chemical, and biological mechanisms, which enhances the stability of slope soil, improves its resistance to erosion and sliding, and thus, to a certain extent, acts like an anchor to "anchor" the surface and shallow soil. This effect is of great significance in fields such as ecological restoration, slope stabilization, vegetation slope protection, and soil and water conservation.

[0004] Currently, the understanding of plant anchoring mechanisms in engineering practice remains relatively rudimentary, mainly relying on the natural growth of plant roots and empirical placement. The lack of systematic mechanical modeling and construction parameter guidance leads to problems such as large fluctuations in anchoring effects, long action periods, and insufficient resistance to disturbance, severely limiting its engineering promotion and application efficiency. Therefore, it is urgent to construct an improved model of plant root anchoring effects based on mechanical principles, capable of accurately characterizing the root-soil interaction process, improving the engineering controllability and adaptability of plant soil stabilization technology, and providing a scientific basis for slope ecological reinforcement design and construction.

[0005] The main mechanisms and manifestations of root anchoring effect: Root penetration and entanglement allow plant roots to penetrate the soil, forming "natural anchors." Frictional forces are generated at the root-soil interface, enhancing the integrity of the soil structure and its shear strength. The root reinforcement effect is similar to the principle of reinforced soil in engineering. Plant roots act as "natural reinforcing materials," distributing throughout the soil to form a complex network structure, improving the soil's tensile and shear strength, and inhibiting crack propagation and slippage. This increases the erosion resistance of the topsoil, reduces surface runoff erosion and fine soil loss caused by rainfall, and lowers the risk of erosion.

[0006] Plant root exudates can promote the formation of soil aggregates. For example, polysaccharides and organic acids help fine soil particles bind together to form more stable soil aggregates, enhancing soil structural stability and aeration and drainage capacity. At the same time, root microorganisms (such as nitrogen-fixing bacteria and mycorrhizal fungi) further enhance root anchoring capacity and soil resistance to disturbance by promoting nutrient cycling, soil particle binding, and regulating root growth.

[0007] The influence of root system characteristics on the anchoring effect is as follows:

[0008] Root system characteristics Effect on anchoring effect Root density Higher density results in stronger anchoring ability, enhancing the reinforcement and retention of topsoil. Root distribution depth Deep-rooted plants have a strong anchoring ability in deep soil layers and are suitable for use on steep slopes. Root morphology Fibrous roots are beneficial for stabilizing the surface soil, while taproots are beneficial for penetrating deeper soil layers. Root growth direction and angle Roots that tend to be horizontally distributed are more conducive to increasing shear strength, while those that are vertically distributed enhance resistance to slippage.

[0009] Existing "anchoring effect calculation models" cannot fully reflect the influence of root system characteristics on the anchoring effect. Summary of the Invention

[0010] The purpose of this invention is to provide a method for determining the applicable range of plant root anchoring effect, thereby solving at least one of the aforementioned technical problems.

[0011] One aspect of the present invention provides a method for obtaining the applicable range of plant root anchoring effect, the method comprising:

[0012] Obtain the parameter information of the plant to be tested;

[0013] Obtain the plant root anchoring effect index model;

[0014] The plant parameter information to be detected is input into the plant root anchoring effect index model to obtain the plant root anchoring effect index.

[0015] Obtain an index suggestion reference table, which includes at least one preset value range and applicable suggestions corresponding to each preset value range;

[0016] Obtain applicable recommendations corresponding to the preset numerical range of the plant root anchoring effect index.

[0017] Optionally, the plant root anchoring effect index model is as follows:

[0018] ;

[0019] Among them, RREI is the plant root anchoring effect index; The normalized root density; The normalized average root length; The normalized root distribution angle factor; This is the normalized root elastic modulus; This represents the normalized maximum tensile strength of the root system. where i = 1, 2, 3, 4, 5, and W1 + W2 + W3 + W4 + W5 = 1.

[0020] Optionally, before obtaining the plant root anchoring effect index model, the method for obtaining the applicable scope of the plant root anchoring effect further includes:

[0021] Obtain the basic parameters of the land to be transplanted;

[0022] The equivalent shear strength of the root-soil composite is obtained based on the basic parameters of the land to be transplanted.

[0023] The equivalent shear strength of the root-soil composite and the root length density are obtained based on the equivalent shear strength of the root-soil composite.

[0024] The slope safety factor is obtained based on the equivalent shear strength of the root-soil composite, the equivalent shear strength of the root-soil composite, and the root length density.

[0025] An adaptive weight coefficient set is obtained based on the slope safety factor and the parameter information of the plants to be detected;

[0026] The step of inputting the plant parameter information to be detected into the plant root anchoring effect index model to obtain the plant root anchoring effect index includes:

[0027] The adaptive weight coefficient set and the plant parameter information to be detected are input into the plant root anchoring effect index model to obtain the plant root anchoring effect index.

[0028] Optionally, the plant root anchoring effect index model is as follows:

[0029] ;

[0030] Among them, RREI is the plant root anchoring effect index; This refers to the normalized parameters of the plant to be tested. The slope safety factor; This represents the minimum safety factor for the slope. This represents the maximum safety factor for the slope. These are the weighting coefficients.

[0031] Optionally, the basic parameters of the land to be transplanted include the internal friction angle, cohesion, slope geometric parameters, and moisture characteristic curve;

[0032] The process of obtaining the equivalent shear strength of the root-soil composite based on the basic parameters of the land to be transplanted includes:

[0033] Based on the basic parameters of the land to be transplanted and the parameters of the plants to be tested, obtain the root-soil interface crack propagation parameters and critical crack length.

[0034] The equivalent shear strength of the root-soil interface is generated based on the crack propagation parameters and moisture characteristic curve at the root-soil interface.

[0035] Optionally, obtaining the equivalent shear strength of the root-soil composite and the root length density based on the equivalent shear strength of the root-soil composite includes:

[0036] A two-dimensional model of the root-soil complex was created using FLAC3D, the root distribution area was defined, and root and soil parameters were assigned.

[0037] Mechanical response simulation was performed on the two-dimensional model of the root-soil composite to obtain the equivalent shear strength and root length density of the root-soil composite.

[0038] Optionally, obtaining the slope safety factor based on the equivalent shear strength of the root-soil composite, the equivalent shear strength of the root-soil composite, and the root length density includes:

[0039] Constructing a constitutive model of a dynamic root-soil complex;

[0040] The corrected internal friction angle is obtained based on the internal friction angle.

[0041] The corrected cohesion is obtained based on the described cohesion.

[0042] The slope safety factor is obtained based on the constitutive model of the dynamic root-soil composite, the corrected internal friction angle, the corrected cohesion, and the slope geometric parameters.

[0043] Optionally, obtaining the slope safety factor based on the dynamic root-soil composite constitutive model, the corrected internal friction angle, the corrected cohesion, and the slope geometric parameters includes:

[0044] A meso-level finite element model is constructed, which includes: generating the slope surface using geometric projection based on the slope angle, height, and platform width; generating randomly distributed beam elements in the soil based on the root distribution depth, with the beam element orientation following the statistical distribution of the branching angle β; constructing the root constitutive relation and the soil constitutive relation; performing mesh generation, with mesh generation principles including: using structured hexahedral meshes in the root region and unstructured tetrahedral meshes in the non-root region, with the element size gradually increasing from the root boundary outwards; displacement constraints including: bottom fixation and rolling support applied to the lateral boundaries; load application including: applying a gravity load at the top, progressively loading in 10 load steps; iterative calculation using a finite element solver (such as the explicit algorithm of FLAC3D or the implicit algorithm of ABAQUS), outputting soil strain distribution cloud map and stress field data;

[0045] Based on the soil strain distribution cloud map output by the meso-level finite element model, the strain energy density criterion is used to define the region with ϵ>0.5% as the high strain zone.

[0046] Equal-interval sampling is performed on the high-strain zone along the slope direction. Each sampling point corresponds to an initial sliding surface, which is circular in shape, thereby obtaining the set of initial sliding surfaces.

[0047] The initial set of sliding surfaces is optimized using a genetic algorithm to obtain the coordinates of the optimal sliding surface control points and the minimum safety factor, which is used as the slope safety factor.

[0048] Optionally, when optimizing the initial set of sliding surfaces using the genetic algorithm, the fitness function used is as follows:

[0049] ;in,

[0050] ,

[0051] in, The slope safety factor; b represents the corrected soil cohesion; b is the strip width. The shear strength of the root-soil composite; This is the tangent of the corrected soil internal friction angle; ρ is soil density; g is gravitational acceleration; z is strip depth; This is the sine value of the inclination angle of the strip.

[0052] This application also provides a device for determining the applicable range of plant root anchoring effect, the device comprising:

[0053] A module for acquiring plant parameter information to be detected, wherein the module is used to acquire plant parameter information to be detected;

[0054] A model acquisition module, which is used to acquire a plant root anchoring effect index model;

[0055] The effect index calculation module is used to input the plant parameter information to be detected into the plant root anchoring effect index model, thereby obtaining the plant root anchoring effect index.

[0056] The reference table acquisition module is used to acquire an index suggestion reference table, which includes at least one preset value range and applicable suggestions corresponding to each preset value range.

[0057] The applicable suggestion acquisition module is used to acquire applicable suggestions corresponding to the preset numerical range in which the plant root anchoring effect index is located.

[0058] Beneficial effects:

[0059] The method for obtaining the applicable scope of the plant root anchoring effect in this application integrates multiple root parameters into a comparable index to evaluate the strength of the plant root anchoring ability, which facilitates engineering planting and slope stability design. Attached Figure Description

[0060] Figure 1 This is a flowchart illustrating a method for obtaining the applicable scope of the plant root anchoring effect according to an embodiment of this application.

[0061] Figure 2 This is a schematic diagram of the measurement of root mechanical parameters using an electronic universal testing machine, as described in this application. Detailed Implementation

[0062] To make the objectives, technical solutions, and advantages of this application clearer, the technical solutions in the embodiments of this application will be described in more detail below with reference to the accompanying drawings. In the drawings, the same or similar reference numerals denote the same or similar elements or elements having the same or similar functions throughout. The described embodiments are some, but not all, embodiments of this application. The embodiments described below with reference to the accompanying drawings are exemplary and intended to explain this application, and should not be construed as limiting this application. All other embodiments obtained by those skilled in the art based on the embodiments of this application without creative effort are within the scope of protection of this application. The embodiments of this application will be described in detail below with reference to the accompanying drawings.

[0063] Example 1:

[0064] like Figure 1 The methods for determining the applicable scope of the plant root anchoring effect shown include:

[0065] Step 1: Obtain the parameter information of the plant to be tested;

[0066] Step 2: Obtain the plant root anchoring effect index model;

[0067] Step 3: Input the plant parameter information to be detected into the plant root anchoring effect index model to obtain the plant root anchoring effect index;

[0068] Step 4: Obtain the index suggestion reference table, which includes at least one preset value range and the applicable suggestions corresponding to each preset value range;

[0069] Step 5: Obtain applicable recommendations corresponding to the preset numerical range in which the plant root anchoring effect index is located.

[0070] This paper presents a Root Reinforcement Effect Index (RREI) model. This model normalizes and integrates multiple root parameters into a comparable index to assess the strength of plant root anchoring capacity, facilitating engineering planting and slope stability design.

[0071] The plant root anchoring effect index model is a multi-factor evaluation model that takes root structure characteristic parameters as input and outputs an anchoring effect strength index. The model features: strong engineering applicability; parameters can be measured or assigned values ​​from literature; and it can be used to evaluate the suitability of different plant species and slope types.

[0072] This paper defines the anchoring effect strength index (RREI) as:

[0073] ,

[0074] The parameters are defined as follows:

[0075]

[0076] To integrate indicators with different dimensions, the parameters are normalized using minimum-maximum normalization:

[0077] ,

[0078] The final model is expressed as:

[0079] ;

[0080] Where: W1+W2+W3+W4+W5=1;

[0081] Calculation of root distribution angle factor:

[0082] ;

[0083] in:

[0084] The average angle between the root system and the slope normal.

[0085] The anchoring effect is optimal when the angle approaches 90° (vertical slope).

[0086] In this embodiment, the index recommendation comparison table is shown in Table 2 below:

[0087] Table 2:

[0088]

[0089] The following examples further illustrate this application in detail. It is understood that these examples do not constitute any limitation on this application.

[0090] For the purpose of illustrating the calculation process only, let's assume the measured results of various parameters for a certain plant are as follows:

[0091] =0.35g / cm3, minimum value is 0.20, maximum value is 0.45, weighting coefficient is 0.25;

[0092] =35cm, minimum value is 0.20, maximum value is 0.40, weighting coefficient is 0.20;

[0093] =70°, weighting coefficient 0.20;

[0094] Er = 200 MPa, minimum value is 200, maximum value is 300, weighting coefficient is 0.15;

[0095] Tr=180N, minimum value is 100, maximum value is 2300, weight coefficient is 0.20;

[0096] Normalized substitution formula calculation:

[0097] ,

[0098] ;

[0099] The calculation results are shown in Table 3:

[0100] Table 3:

[0101]

[0102] The final RREI=0.53 → the anchoring effect is "strong", and the applicable recommendation is: it can be planted as the main species for ecological slope protection of medium and gentle slopes.

[0103] Giant Napier grass was used as the experimental plant, and the root physical parameters were measured using a root sweeping instrument (as shown in Table 4).

[0104] Table 4:

[0105]

[0106] See Figure 2 The root mechanical parameters were measured using an electronic universal testing machine. Tensile tests were conducted along the grain on the lower stems of mature giant reed grass using an electronic universal testing instrument. The average moisture content of the lower stems was 75%. The average tensile modulus along the grain of the lower stems was 587.74 MPa, with a minimum of 513.18 MPa and a maximum of 690.25 MPa. The average maximum tensile strength was 91.12 N, with a minimum of 74.31 N and a maximum of 103.28 N.

[0107] Substituting the data into the plant root anchoring effect index model, we obtained the results shown in Table 5:

[0108] Table 5:

[0109]

[0110] The final RREI=0.45 → the anchoring effect is "strong", and the applicable recommendation is: it can be planted as the main species for ecological slope protection of medium and gentle slopes.

[0111] Example 2:

[0112] Based on the above method, this application makes the following improvements:

[0113] Before obtaining the plant root anchoring effect index model, the method for determining the applicable scope of the plant root anchoring effect further includes:

[0114] Obtain basic parameters of the land to be transplanted; in this embodiment, the basic parameters of the land to be transplanted may include root morphology parameters, root mechanical parameters, internal friction angle, cohesion, slope geometric parameters, and moisture characteristic curve. Among them, the root morphology parameters include root diameter distribution (RD), branching angle (β), and root length density (RLD); the root mechanical parameters include elastic modulus (Er), tensile strength (Tr), and fracture strain (εf).

[0115] The equivalent shear strength of the root-soil composite is obtained based on the basic parameters of the land to be transplanted.

[0116] In this embodiment, obtaining the equivalent shear strength of the root-soil composite based on the basic parameters of the land to be transplanted includes:

[0117] Based on the basic parameters of the land to be transplanted and the parameters of the plants to be tested, obtain the root-soil interface crack propagation parameters and critical crack length.

[0118] The equivalent shear strength of the root-soil interface is generated based on the crack propagation parameters and moisture characteristic curve at the root-soil interface.

[0119] Specifically, based on the basic parameters of the land to be transplanted and the parameters of the plants to be tested, the root-soil interface crack propagation parameters and critical crack length are obtained, including:

[0120] Based on Griffith theory, a root-soil interface crack propagation model is established. RD, β, Er, and Tr are input to calculate the stress intensity factor (K) and energy release rate (G). When G ≥ 2γs (γs is surface energy), the crack begins to propagate. The crack propagation path is adjusted by combining the soil moisture characteristic curve, thereby obtaining the root-soil interface crack propagation parameters and critical crack length.

[0121] Specifically, the stress intensity factor is calculated using the following formula:

[0122] Where a is the crack length, RD is the root diameter, β is the angle between the root system and the slope surface, and Tr is the root tensile strength (MPa).

[0123] Specifically, the energy release rate is calculated using the following formula:

[0124] Where Er is the root elastic modulus.

[0125] when At that time, the crack began to propagate unstablely, among which, Let G be the soil surface energy. Substituting the expression for G into the critical condition:

[0126] The solution a is obtained through algebraic transformations:

[0127] ;

[0128] In this embodiment, 'a' is a variable, and the critical condition is... The specific value of 'a' at that time is the critical crack length, therefore the solution for 'a' is this specific value, i.e., the critical crack length. .

[0129] A model was established using the finite element method based on the actual dimensions of the root-soil interface, with the following conditions:

[0130] Boundary conditions include normal stress, tangential stress, and moisture cycle.

[0131] Crack propagation simulation:

[0132] Path adjustment:

[0133] During the moist stage: soil suction decreases, and cracks tend to extend along the root system (θ≈β).

[0134] Drying stage: Soil suction (ψ) increases, and crack propagation direction deviates from the root system (θ>β).

[0135] Rate calculation:

[0136] Where C and m are material constants (calibrated by cyclic load tests). This represents the stress intensity factor amplitude.

[0137] The crack propagation direction (θ) and rate (da / dN) were obtained through finite element analysis.

[0138] In this embodiment, the equivalent shear strength of the root-soil composite is calculated using the following formula:

[0139] ,

[0140] in, The equivalent shear strength of the root-soil composite; This reflects the weakening effect of crack propagation direction on root enhancement (the larger θ is, the more significant the weakening). The value of a reflects the attenuation of the root enhancement effect due to crack length (the larger the value of a, the more significant the attenuation); c represents soil cohesion. Normal stress; The internal friction angle of the soil is denoted by RTD, which represents the root tensile density. RD is the root tensile strength; RD is the root diameter. The length of the crack; The critical crack length; The angle between the crack propagation direction and the root system.

[0141] In this embodiment, obtaining the mesoscopic root-soil composite equivalent shear strength and root length density based on the root-soil composite equivalent shear strength includes:

[0142] A two-dimensional model of the root-soil complex was created using FLAC3D, the root distribution area was defined, and root and soil parameters were assigned.

[0143] Mechanical response simulation was performed on the two-dimensional model of the root-soil composite (gravity load was applied, and the stress-strain relationship of the root-soil composite under the load was calculated) to obtain the equivalent shear strength and root length density of the root-soil composite.

[0144] The slope safety factor is obtained based on the equivalent shear strength of the microscopic root-soil composite, the equivalent shear strength of the mesoscopic root-soil composite, and the root length density, including:

[0145] Constructing a constitutive model of a dynamic root-soil complex;

[0146] The corrected internal friction angle is obtained based on the internal friction angle.

[0147] The corrected cohesion is obtained based on the described cohesion.

[0148] The slope safety factor is obtained based on the constitutive model of the dynamic root-soil composite, the corrected internal friction angle, the corrected cohesion, and the slope geometric parameters.

[0149] Specifically, the dynamic constitutive model is constructed as follows:

[0150] Define the strength of the root-soil composite as a function of strain ( The nonlinear relationship of )

[0151] ;

[0152] In the formula: k is the attenuation coefficient (determined through micro fracture test). The soil strain is extracted from the meso-level finite element model.

[0153] Introducing the spatial distribution function of RLD:

[0154] Where z is the depth, The depth of root distribution. This represents the average root length density.

[0155] Adjust the soil internal friction angle and cohesion according to RLD(z):

[0156] ,

[0157] ;

[0158] The process of obtaining the slope safety factor based on the dynamic root-soil composite constitutive model, the corrected internal friction angle, the corrected cohesion, and the slope geometric parameters includes:

[0159] A meso-level finite element model is constructed, which includes: generating the slope surface using geometric projection based on the slope angle, height, and platform width; generating randomly distributed beam elements in the soil based on the root distribution depth, with the beam element orientation following the statistical distribution of the branching angle β; constructing the root constitutive relation and the soil constitutive relation; performing mesh generation, with mesh generation principles including: using structured hexahedral meshes in the root region and unstructured tetrahedral meshes in the non-root region, with the element size gradually increasing from the root boundary outwards; displacement constraints including: bottom fixation and rolling support applied to the lateral boundaries; load application including: applying a gravity load at the top, progressively loading in 10 load steps; iterative calculation using a finite element solver (such as the explicit algorithm of FLAC3D or the implicit algorithm of ABAQUS), outputting soil strain distribution cloud map and stress field data;

[0160] Based on the soil strain distribution cloud map output by the meso-level finite element model, the strain energy density criterion is used to define the region with ϵ>0.5% as the high strain zone.

[0161] Equal-interval sampling is performed on the high-strain zone along the slope direction. Each sampling point corresponds to an initial sliding surface. The shape of the sliding surface is an arc, and the radius R is determined by the principle of minimum potential energy, thereby obtaining an initial set of sliding surfaces (containing 10 to 20 candidate sliding surfaces, each of which is generated from the sampling points of the high-strain zone).

[0162] The initial set of sliding surfaces is optimized using a genetic algorithm to obtain the coordinates of the optimal sliding surface control points and the minimum safety factor, which is used as the slope safety factor.

[0163] Specifically, the core of genetic algorithm optimization is to find the most dangerous sliding surface with the minimum safety factor (Fs) through iterative search. The specific steps are as follows:

[0164] Chromosome encoding and decoding: Convert the sliding surface parameters into a gene form that can be operated by the genetic algorithm, and ensure that the decoded surface can be restored to a physical sliding surface.

[0165] coding:

[0166] Operation target: Each sliding surface in the initial set of sliding surfaces.

[0167] Method: Map the coordinates (x, y) of the sliding surface control points to binary strings.

[0168] Each coordinate is represented by 16 bits of binary (precision 0.1m).

[0169] The total chromosome length L = 2 × N × 16, where N is the number of control points.

[0170] For example, the control point coordinates (x=2.5 m, y=1.8 m) can be converted to binary as follows:

[0171] x: 00000010100101 (corresponds to 2.5 in decimal).

[0172] y: 00000001111010 (corresponding to 1.8 in decimal).

[0173] decoding:

[0174] Object of operation: binary string.

[0175] Method: Group the binary string into 16-bit groups and convert them into decimal coordinates.

[0176] The number of control points can be dynamically adjusted based on the slope height.

[0177] In this embodiment, the fitness function used when optimizing the initial set of sliding surfaces using the genetic algorithm is as follows:

[0178] ;in,

[0179] ,

[0180] in, The slope safety factor; b represents the corrected soil cohesion; b is the strip width. The shear strength of the root-soil composite; This is the tangent of the corrected soil internal friction angle; ρ is soil density; g is gravitational acceleration; z is strip depth; This is the sine value of the inclination angle of the strip.

[0181] In this embodiment, fitness f and safety factor Inversely proportional, that is ,

[0182] Genetic algorithm target bit minimization Therefore, a higher fitness level indicates a more dangerous sliding surface.

[0183] In this embodiment, the termination condition is as follows:

[0184] The number of iterations reaches 100 generations, or the fitness function value (f) shows no significant change for 10 consecutive generations (change amount <1%).

[0185] In this implementation, the Sobol exponent method can be used to quantify the relationship between each parameter. The contribution level is used to automatically adjust the weight coefficient (Wi) to ensure that parameters with high contributions receive greater weight.

[0186] The step of inputting the plant parameter information to be detected into the plant root anchoring effect index model to obtain the plant root anchoring effect index includes:

[0187] The adaptive weight coefficient set and the plant parameter information to be detected are input into the plant root anchoring effect index model to obtain the plant root anchoring effect index.

[0188] In this embodiment, the plant root anchoring effect index model is as follows:

[0189] ;

[0190] Among them, RREI is the plant root anchoring effect index; This refers to the normalized parameters of the plant to be tested. The slope safety factor; This represents the minimum safety factor for the slope. This represents the maximum safety factor for the slope. These are the weighting coefficients.

[0191] It is understood that the adaptive weight coefficient set and the plant parameter information to be detected are input into the plant root anchoring effect index model to obtain the plant root anchoring effect index, which is the same as in Example 1, except that the formula used is different, and will not be described again here.

[0192] This application processes and obtains slope safety factors from both microscopic and mesoscopic perspectives, thus making the obtained slope safety factors more accurate. The synergistic verification of microscopic mechanisms (crack propagation) and mesoscopic behavior (complex mechanics) avoids the limitations of single-scale models; the microscopic analytical solution ensures the mathematical rigor of the critical conditions, while the mesoscopic finite element method enhances the realism of the macroscopic response. The combination of the two... The prediction bias was significantly reduced.

[0193] Using fracture mechanics theory, an analytical model for crack propagation at the root-soil interface is established, and the stress intensity factor and energy release rate are calculated. Combined with soil surface energy, an explicit formula for the critical crack length is derived to clarify the physical threshold for root anchorage failure (e.g., ...). (Time-dependent crack instability propagation) to avoid the subjectivity of empirical formulas; adjust the crack propagation path and rate through soil moisture characteristic curve (SWCC) to quantify the dynamic impact of wet-dry cycles on anchoring effect.

[0194] A two-dimensional model of the root-soil complex was created using FLAC3D, and root and soil parameters were assigned. Gravity loads were applied to simulate the stress-strain relationship, and the equivalent shear strength and root length density were directly output.

[0195] By capturing the nonlinear mechanical behavior of root-soil composites (such as stress redistribution and plastic zone development) using the finite element method, we can ensure that the equivalent shear strength of the mesoscopic root-soil composite reflects the true response at the actual engineering scale.

[0196] This application also provides a device for obtaining the applicable range of plant root anchoring effect. The device includes a module for acquiring plant parameter information, a model acquisition module, an effect index calculation module, a comparison table acquisition module, and an applicable suggestion acquisition module.

[0197] The module for acquiring plant parameter information is used to acquire plant parameter information.

[0198] The model acquisition module is used to acquire the plant root anchoring effect index model;

[0199] The effect index calculation module is used to input the plant parameter information to be detected into the plant root anchoring effect index model, thereby obtaining the plant root anchoring effect index.

[0200] The lookup table acquisition module is used to acquire an index suggestion lookup table, which includes at least one preset value range and applicable suggestions corresponding to each preset value range.

[0201] The applicable suggestions acquisition module is used to obtain applicable suggestions corresponding to the preset numerical range in which the plant root anchoring effect index is located.

[0202] Although the present invention has been described in detail above with general descriptions and specific embodiments, modifications or improvements can be made to it, which will be obvious to those skilled in the art. Therefore, all such modifications or improvements made without departing from the spirit of the present invention fall within the scope of protection claimed by the present invention.

Claims

1. A method for determining the applicable range of plant root anchoring effect, characterized in that, The method for determining the applicable scope of the plant root anchoring effect includes: Obtain the parameter information of the plant to be tested; Obtain the plant root anchoring effect index model; The plant parameter information to be detected is input into the plant root anchoring effect index model to obtain the plant root anchoring effect index. Obtain an index suggestion reference table, which includes at least one preset value range and applicable suggestions corresponding to each preset value range; Obtain applicable recommendations corresponding to the preset numerical range in which the plant root anchoring effect index is located; Before obtaining the plant root anchoring effect index model, the method for determining the applicable scope of the plant root anchoring effect further includes: Obtain the basic parameters of the land to be transplanted; The equivalent shear strength of the micro-root-soil composite was obtained based on the basic parameters of the land to be transplanted. The equivalent shear strength and root length density of the root-soil composite were obtained based on the basic parameters of the land to be transplanted. The slope safety factor is obtained based on the equivalent shear strength of the micro-root-soil composite, the equivalent shear strength of the meso-root-soil composite, and the root length density. An adaptive weight coefficient set is obtained based on the slope safety factor and the parameter information of the plants to be detected; The step of inputting the plant parameter information to be detected into the plant root anchoring effect index model to obtain the plant root anchoring effect index includes: The adaptive weight coefficient set and the plant parameter information to be detected are input into the plant root anchoring effect index model to obtain the plant root anchoring effect index. The plant root anchoring effect index model is as follows: RREI= ; in, The root anchoring effect index; This refers to the normalized parameters of the plant to be tested. This refers to the slope safety factor. This represents the minimum safety factor for the slope. This represents the maximum safety factor for the slope. These are the weighting coefficients; The basic parameters of the land to be transplanted include internal friction angle, cohesion, slope geometric parameters, and moisture characteristic curve. The process of obtaining the equivalent shear strength of the micro-root-soil composite based on the basic parameters of the land to be transplanted includes: Based on the basic parameters of the land to be transplanted and the parameters of the plants to be tested, obtain the root-soil interface crack propagation parameters and critical crack length. The equivalent shear strength of the root-soil interface is generated based on the crack propagation parameters and moisture characteristic curve of the root-soil interface. The process of obtaining the equivalent shear strength and root length density of the mesoscopic root-soil composite based on the basic parameters of the land to be transplanted includes: A two-dimensional model of the root-soil complex was created using FLAC3D, the root distribution area was defined, and root and soil parameters were assigned. Mechanical response simulation was performed on the two-dimensional model of the root-soil composite to obtain the equivalent shear strength and root length density of the meso-root-soil composite. The method of obtaining the slope safety factor based on the equivalent shear strength of the microscopic root-soil composite, the equivalent shear strength of the mesoscopic root-soil composite, and the root length density includes: Constructing a constitutive model of a dynamic root-soil complex; The corrected internal friction angle is obtained based on the internal friction angle. The corrected cohesion is obtained based on the described cohesion. The slope safety factor is obtained based on the dynamic root-soil composite constitutive model, the corrected internal friction angle, the corrected cohesion, and the slope geometric parameters. The process of obtaining the slope safety factor based on the dynamic root-soil composite constitutive model, the corrected internal friction angle, the corrected cohesion, and the slope geometric parameters includes: A meso-level finite element model is constructed, comprising: generating the slope surface using geometric projection based on the slope angle, height, and platform width; generating randomly distributed beam elements in the soil based on the root distribution depth, with the beam element orientation following the statistical distribution of the branching angle β; constructing root constitutive relations and soil constitutive relations; performing mesh generation, with mesh generation principles including: using structured hexahedral meshes for the root region and unstructured tetrahedral meshes for non-root regions, with element size gradually increasing from the root boundary outwards; displacement constraints including: bottom fixation and rolling support applied to the lateral boundaries; load application including: applying gravity loads at the top, progressively loading in 10 load steps; and iterative calculation using a finite element solver to output soil strain distribution cloud maps and stress field data. Based on the soil strain distribution cloud map output by the meso-level finite element model, the strain energy density criterion is used to define the region with ϵ>0.5% as the high strain zone. Equal-interval sampling is performed on the high-strain zone along the slope direction. Each sampling point corresponds to an initial sliding surface, which is circular in shape, thereby obtaining the set of initial sliding surfaces. The initial set of sliding surfaces is optimized using a genetic algorithm to obtain the coordinates of the optimal sliding surface control points and the minimum safety factor, which is used as the slope safety factor.

2. The method for determining the applicable scope of plant root anchoring effect as described in claim 1, characterized in that, The fitness function used when optimizing the initial set of sliding surfaces using the genetic algorithm is as follows: f=1 / ;in, = ； in, This refers to the slope safety factor. b represents the corrected soil cohesion; b is the strip width. The shear strength of the root-soil composite; This is the tangent of the corrected soil internal friction angle; ρ is soil density; g is gravitational acceleration; z is strip depth; This is the sine value of the inclination angle of the strip.

3. A device for determining the applicable range of plant root anchoring effect, used in the method for determining the applicable range of plant root anchoring effect as described in any one of claims 1 or 2, characterized in that, The device for determining the applicable range of the plant root anchoring effect includes: A module for acquiring plant parameter information to be detected, wherein the module is used to acquire plant parameter information to be detected; A model acquisition module, which is used to acquire a plant root anchoring effect index model; The effect index calculation module is used to input the plant parameter information to be detected into the plant root anchoring effect index model, thereby obtaining the plant root anchoring effect index. The reference table acquisition module is used to acquire an index suggestion reference table, which includes at least one preset value range and applicable suggestions corresponding to each preset value range. The applicable suggestion acquisition module is used to acquire applicable suggestions corresponding to the preset numerical range in which the plant root anchoring effect index is located.

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