CN110348051B - Rock structural surface anisotropy characteristic evaluation method based on two-dimensional morphological parameters - Google Patents
Rock structural surface anisotropy characteristic evaluation method based on two-dimensional morphological parameters Download PDFInfo
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Abstract
The rock structural surface anisotropy characteristic evaluation method based on two-dimensional morphology parameters comprises the following steps of 1) describing structural surface anisotropy actual distribution characteristics by adopting the two-dimensional morphology parameters, and drawing the structural surface anisotropy actual distribution characteristics on a polar coordinate graph; 2) Determining an orthogonal direction in the structural plane anisotropic polar coordinate distribution diagram based on an anisotropic orthogonal distribution rule; 3) Obtaining an anisotropic analytical function and anisotropic distribution characteristics according to the two-dimensional morphology parameter values corresponding to the orthogonal directions; 4) And (3) obtaining anisotropic distribution characteristics of the structural surfaces in other different orthogonal directions by repeating the steps 2) and 3), and calculating relative errors of morphology parameter values corresponding to actual anisotropic distribution, wherein the anisotropic behavior of the anisotropic analytical function reaction with the smallest errors is the theoretical anisotropic distribution of the structural surface. According to the invention, the actual anisotropic distribution characteristics of the structural surface are obtained by analyzing the two-dimensional morphological parameters to evaluate the theoretical distribution behavior of the structural surface.
Description
Technical Field
The invention belongs to the field of rock mechanics, and relates to a rock structural surface anisotropy characteristic evaluation method based on two-dimensional morphological parameters.
Background
The rock mass structural surface itself has complex anisotropic characteristics, so that the current structural surface shape and appearance characteristics are difficult to quantitatively study. Therefore, many scholars focus on the spatial geometrical distribution characteristics of the structural surface of the rock mass and propose a large number of parameters (Z 2 、R p 、θ S 、BAP、SR V ) The structural plane anisotropy is characterized in two and three dimensions, respectively. The three-dimensional morphology parameters show the morphology fluctuation change of the whole structural surface, and the three-dimensional morphology parameters are more representative than the anisotropism reflected by the two-dimensional morphology parameters, but the two-dimensional morphology parameters are convenient and quick to acquire and are applied to the roughness analysis of the rock engineering for many years. Based on this, it is necessary to improve the accuracy of two-dimensional topography parameters in anisotropic analysis, better serving the actual engineering.
Disclosure of Invention
In order to improve the accuracy of two-dimensional morphology parameters in structural surface anisotropy analysis, the invention provides a rock structural surface anisotropy characteristic evaluation method based on the two-dimensional morphology parameters.
The technical scheme adopted for solving the technical problems is as follows:
a rock structural surface anisotropy characteristic evaluation method based on two-dimensional morphological parameters comprises the following steps:
1) Describing the structure surface anisotropy actual distribution characteristics by adopting two-dimensional morphology parameters, and drawing the structure surface anisotropy actual distribution characteristics on a polar coordinate graph;
2) Based on an anisotropic orthogonal distribution rule, determining four change curve sections divided by an orthogonal direction in a structural plane anisotropic polar coordinate distribution diagram;
3) From anisotropic analytical functionsQuick acquisition of four changesDistribution characteristics of curve segments on a polar graph. Wherein P is a profile parameter value of 0-180 DEG, when theta is 0, pi U (3 pi/2, 2 pi), P is a profile parameter value of 0-180 DEG, when theta is 0 pi/2, 3 pi/2, P is a profile parameter value of 180-0 DEG, K ρ Representing calculated values related to the anisotropy index within the corresponding angular range;
4) And (3) obtaining anisotropic distribution characteristics of the structural surface in different orthogonal directions by repeating the steps 2) and 3), and calculating relative errors of morphology parameter values corresponding to actual anisotropic distribution, wherein the anisotropic behavior of the anisotropic analytical function reaction with the smallest errors is the theoretical anisotropic distribution of the structural surface.
The beneficial effects of the invention are mainly as follows: (1) The method can accurately provide the anisotropic theoretical distribution behavior of the structural surface of the rock mass, and is helpful for determining the general rule of the anisotropic change of the structural surface. (2) The regular structural plane forming the orthogonal direction of the structural plane can be determined by combining the orthogonal distribution rule of the structural plane, so that a basis is provided for further determination of the anisotropic variation degree.
Drawings
FIG. 1 is a schematic diagram of the actual distribution of the anisotropy of the granite structure surface.
FIG. 2 is a schematic illustration of the actual distribution of anisotropy of the granite structure face at orthogonal directions of 0-180 and 90-270.
FIG. 3 is a schematic illustration of the actual distribution of anisotropy of the granite structure surface at 60-240 and 150-330 orthogonal directions.
Detailed Description
The invention is further described below with reference to the accompanying drawings.
Referring to fig. 1 to 3, a rock structural surface anisotropy feature evaluation method based on two-dimensional morphological parameters, the method comprises the following steps:
1) Describing the structure surface anisotropy actual distribution characteristics by adopting two-dimensional morphology parameters, and drawing the structure surface anisotropy actual distribution characteristics on a polar coordinate graph;
2) Based on an anisotropic orthogonal distribution rule, determining four change curve sections divided by an orthogonal direction in a structural plane anisotropic polar coordinate distribution diagram;
3) From anisotropic analytical functionsAnd quickly acquiring the distribution characteristics of the four variable curve segments on the polar coordinate graph. Wherein P is a profile parameter value of 0-180 DEG, when theta is 0, pi U (3 pi/2, 2 pi), P is a profile parameter value of 0-180 DEG, when theta is 0 pi/2, 3 pi/2, P is a profile parameter value of 180-0 DEG, K ρ Representing calculated values related to the anisotropy index within the corresponding angular range;
4) And (3) obtaining anisotropic distribution characteristics of the structural surface in different orthogonal directions by repeating the steps 2) and 3), and calculating relative errors of morphology parameter values corresponding to actual anisotropic distribution, wherein the anisotropic behavior of the anisotropic analytical function reaction with the smallest errors is the theoretical anisotropic distribution of the structural surface.
The concrete embodiments of the example are as follows by adopting a natural granite structural surface
1) Acquiring granite surface point cloud data by using a three-dimensional laser scanner, intercepting a structural surface with the thickness of 100mm multiplied by 100mm as a research object, and selecting a two-dimensional morphological parameter Z 2 Topographical features at different orientations at 10 ° increments are described, as shown in fig. 1.
2) Four anisotropic curve segments divided into orthogonal directions of 0-180 DEG and 90-270 DEG are preliminarily determined on a polar coordinate graph.
3) And obtaining an anisotropic distribution diagram of the integration of the four curve segments in the orthogonal direction according to the definition of the structural plane anisotropic analysis formula, as shown in figure 2.
4) And (3) repeating the steps (2) and (3) to determine the relative errors of the anisotropic distribution diagram of the granite structural surface and the morphology parameter values corresponding to the actual anisotropic distribution diagram under other orthogonal directions, wherein the relative errors are shown in table 1. The results show that the anisotropy distribution in the orthogonal directions of 60 ° -240 ° and 150 ° -330 ° is the theoretical anisotropy distribution of the structural plane, as shown in fig. 3.
TABLE 1
The embodiments described in this specification are merely illustrative of the manner in which the inventive concepts may be implemented. The scope of the present invention should not be construed as being limited to the specific forms set forth in the embodiments, but the scope of the present invention and the equivalents thereof as would occur to one skilled in the art based on the inventive concept.
Claims (1)
1. The rock structural surface anisotropy characteristic evaluation method based on the two-dimensional morphology parameters is characterized by comprising the following steps of:
1) Describing the structure surface anisotropy actual distribution characteristics by adopting two-dimensional morphology parameters, and drawing the structure surface anisotropy actual distribution characteristics on a polar coordinate graph;
2) Based on an anisotropic orthogonal distribution rule, determining four change curve sections divided by an orthogonal direction in a structural plane anisotropic polar coordinate distribution diagram;
3) From anisotropic analytical functionsRapidly acquiring distribution characteristics of four variable curve segments on a polar coordinate graph, wherein P is a morphology parameter value of a profile line of 0-180 degrees, when theta epsilon (0, pi)/(3 pi/2, 2 pi), P is a morphology parameter value of 0-180 degrees, when theta epsilon (pi/2, 3 pi/2), P is a morphology parameter value of 180-0 degrees, K ρ Representing calculated values related to the anisotropy index within the corresponding angular range;
4) And (3) obtaining anisotropic distribution characteristics of the structural surface in different orthogonal directions by repeating the steps 2) and 3), and calculating relative errors of morphology parameter values corresponding to actual anisotropic distribution, wherein the anisotropic behavior of the anisotropic analytical function reaction with the smallest errors is the theoretical anisotropic distribution of the structural surface.
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