CN1253692C

CN1253692C - Method for determining dimensional size effects of toughness coefficients of typical stone structural surface

Info

Publication number: CN1253692C
Application number: CNB2004100932248A
Authority: CN
Inventors: 杜时贵
Original assignee: Jinhua Polytechnic
Current assignee: Jinhua Polytechnic
Priority date: 2004-12-15
Filing date: 2004-12-15
Publication date: 2006-04-26
Anticipated expiration: 2024-12-15
Also published as: CN1645049A

Abstract

The present invention relates to a method for determining a size effect fractal dimension of toughness coefficients of a typical stone structural surface. The method comprises the following steps: step 1, measurement sections are arranged; step 2, contour curves are drawn; step 3, the fluctuation amplitude Ry0 of the contour curve of the measurement section of 10cm is measured; step 4, the value of a roughness coefficient JRC0 of the measurement section of 10cm is calculated according to a formula; step 5, an expected value E (JRC0) of JRC0 is solved; step 6, the fluctuation amplitude Ry30 of the contour curve of the measurement section of 30cm is measured; step 7, the value of a roughness coefficient JRC30 of the measurement section of 30cm is calculated according to a formula; step 8, an expected value E (JRC30) of JRC30 is solved; step 9, according to E (JRC30) =E (JRC10) [L30 /L10]<-D>, a JRC size effect fractal dimension D of a typical stone structural surface can be obtained by conversion. The JRC size effect fractal dimension D of the typical stone structural surface, which is obtained by the present invention by conversion, embodies the influence for the JRC size effect of the stone structural surface from different stone components.

Description

Determination method of size effect fractal dimension of roughness coefficient of typical rock mass structural surface

(一)技术领域(1) Technical field

本发明涉及典型岩体结构面JRC尺寸效应分维数D，适用于部分出露的岩体结构面表面确定岩体结构面粗糙度系数JRC_n值的场合。The invention relates to the JRC size effect fractal dimension D of a typical rock mass structural surface, which is suitable for the occasion of determining the roughness coefficient JRC _n value of the rock mass structural surface on the surface of a partially exposed rock mass structural surface.

(二)背景技术(2) Background technology

在本发明作出之前，现有技术尚无典型岩体结构面JRC尺寸效应分维数D，岩体结构面粗糙度系数JRC_n值的确定方法是以出露岩体结构面范围测量得到的标准尺寸岩体结构面的粗糙度系数JRC₀值，根据Barton的JRC尺寸效应经验公式 ${JRC}_{n} = {JRC}_{0} {[\frac{L_{n}}{L_{0}}]}^{- 0.02 {JRC}_{0}}$ 计算岩体结构面粗糙度系数JRC_n值。由于不同壁岩成分的岩体结构面JRC尺寸效应特征不尽相同，由Barton的JRC尺寸效应经验公式 ${JRC}_{n} = {JRC}_{0} {[\frac{L_{n}}{L_{0}}]}^{- 0.02 {JRC}_{0}}$ 计算得到的岩体结构面粗糙度系数JRC_n值不能很好地体现具不同壁岩成分的岩体结构面JRC尺寸效应的差异，由该技术得到的岩体结构面粗糙度系数JRC_n值不能真实反映不同壁岩成分岩体结构面的JRC尺寸效应特征。Before the present invention is made, there is no typical rock mass structural surface JRC size effect fractal dimension D in the prior art, and the determination method of the rock mass structural surface roughness coefficient JRC _n value is the standard obtained by measuring the range of the exposed rock mass structural surface Roughness coefficient JRC ₀ value of dimension rock discontinuity surface, according to Barton's empirical formula of JRC dimension effect ${JRC}_{no} = {JRC}_{0} {[\frac{L_{no}}{L_{0}}]}^{- 0.02 {JRC}_{0}}$ Calculate the roughness coefficient JRC _n value of the rock mass structural surface. Since the characteristics of the JRC size effect of rock mass structural planes with different wall rock compositions are not the same, the JRC size effect empirical formula of Barton ${JRC}_{no} = {JRC}_{0} {[\frac{L_{no}}{L_{0}}]}^{- 0.02 {JRC}_{0}}$ The calculated roughness coefficient JRC _n value of the rock mass structural surface cannot well reflect the difference in the size effect of the rock mass structural surface JRC with different wall rock components, and the roughness coefficient JRC _n value of the rock mass structural surface obtained by this technology cannot be true. Reflecting the JRC size effect characteristics of rock mass structural planes with different wall rock compositions.

(三)发明内容(3) Contents of the invention

本发明目的在于克服现有技术计算得到的岩体结构面粗糙度系数JRC_n值不能很好地体现具不同壁岩成分的岩体结构面JRC尺寸效应的缺点，提供一种典型岩体结构面粗糙度系数尺寸效应分维数确定方法，从而适用于在部分出露的岩体结构面表面确定具尺寸效应的岩体结构面粗糙度系数JRC_n。The purpose of the present invention is to overcome the shortcoming that the rock mass structural surface roughness coefficient JRC _n value calculated by the prior art cannot well reflect the size effect of the rock mass structural surface JRC with different wall rock components, and to provide a typical rock mass structural surface roughness The method for determining the fractal dimension of the size effect of the degree coefficient is suitable for determining the roughness coefficient JRC _n of the rock mass structural surface with the size effect on the surface of the partially exposed rock mass structural surface.

本发明所述的典型岩体结构面粗糙度系数尺寸效应分维数确定方法，包含以下顺序步骤：The method for determining the size effect fractal dimension of the roughness coefficient of a typical rock mass structural surface described in the present invention comprises the following sequential steps:

(1)对应所需测量方向均匀布置统计所需数目的长度分别为10cm和30cm的测段；(1) Corresponding to the required measurement direction, uniformly arrange the measuring sections whose lengths are respectively 10cm and 30cm;

(2)采用轮廓曲线仪绘制上述测段的轮廓曲线；(2) adopt profilometer to draw the profile curve of above-mentioned measuring section;

(3)测量上述10cm测段的每个轮廓曲线的起伏幅度R_y10；(3) measure the undulation amplitude R _y10 of each profile curve of the above-mentioned 10cm survey section;

(4)由公式 ${JRC}_{10} = 49.2114 e^{\frac{29}{450}} \arctan [\frac{{4 R}_{y 10}}{5}]$ 分别计算每个10cm测段粗糙度系数JRC₁₀值；(4) by the formula ${JRC}_{10} = 49.2114 e^{\frac{29}{450}} \arctan [\frac{{4 R}_{the y 10}}{5}]$ Calculate the roughness coefficient JRC ₁₀ value of each 10cm measuring section separately;

(5)根据每个10cm测段不同的粗糙度系数计算得到JRC₁₀的期望值E(JRC₁₀)；(5) Calculate the expected value E(JRC ₁₀ ) of JRC ₁₀ according to the different roughness coefficients of each 10cm measuring section;

(6)测量上述30cm测段的每个轮廓曲线的起伏幅度R_y30；(6) measure the fluctuation amplitude R _y30 of each profile curve of the above-mentioned 30cm survey section;

(7)由公式 ${JRC}_{30} = 49.2114 e^{\frac{{29 L}_{10}}{{450 L}_{30}}} \arctan [\frac{{8 R}_{Y 30}}{L_{30}}]$ 分别计算每个30cm测段粗糙度系数JRC₃₀值；(7) by the formula ${JRC}_{30} = 49.2114 e^{\frac{{29 L}_{10}}{{450 L}_{30}}} \arctan [\frac{{8 R}_{Y 30}}{L_{30}}]$ Calculate the roughness coefficient JRC ₃₀ value of each 30cm section separately;

(8)根据每个30cm测段不同的粗糙度系数计算得到JRC₃₀的期望值E(JRC₃₀)；(8) Calculate the expected value E(JRC ₃₀ ) of JRC ₃₀ according to the different roughness coefficients of each 30cm measuring section;

(9)由JRC尺寸效应分形模型 $E ({JRC}_{30}) = E ({JRC}_{10}) {[\frac{L_{30}}{L_{10}}]}^{- D},$ 即可换算得到典型岩体结构面JRC尺寸效应分维数D。(9) By JRC size effect fractal model $E. ({JRC}_{30}) = E. ({JRC}_{10}) {[\frac{L_{30}}{L_{10}}]}^{- D.},$ The JRC size effect fractal dimension D of a typical rock mass discontinuity plane can be obtained by conversion.

采用本发明具有以下优点：统计测量得到的岩体结构面粗糙度系数JRC₁₀和JRC₃₀值具有较好的代表性，且精度满足要求，由此换算得到的典型岩体结构面JRC尺寸效应分维数D已经体现了不同壁岩成分对岩体结构面JRC尺寸效应的影响，为定量统计分析具尺寸效应的岩体结构面粗糙度系数JRC_n值提供了有效的手段，具有较大的实施价值和社会经济效益。Adopting the present invention has the following advantages: the roughness coefficients JRC ₁₀ and JRC ₃₀ of the rock mass structural surface obtained by statistical measurement are representative, and the accuracy meets the requirements; Dimension D has reflected the influence of different wall rock compositions on the JRC size effect of rock mass discontinuity plane, and provides an effective means for quantitative statistical analysis of rock mass discontinuity plane roughness coefficient JRC _n value with size effect, and has great implementation value and socioeconomic benefits.

(四)具体实施方式(4) Specific implementation methods

野外实测统计得到灰岩节理表面取样长度分别为10cm和30cm的128条轮廓曲线的粗糙度系数JRC₁₀和JRC₃₀的统计值分别为8.31和4.93，由JRC尺寸效应分形模型 $E ({JRC}_{30}) = E ({JRC}_{10}) {[\frac{L_{30}}{L_{10}}]}^{- D}$ 换算得到灰岩节理JRC尺寸效应分维数D＝0.4758。Field measurements show that the roughness coefficients JRC ₁₀ and JRC 30 of 128 profile curves with sampling lengths of 10 cm and ₃₀ cm on the limestone joint surface are 8.31 and 4.93, respectively. According to the JRC size effect fractal model $E. ({JRC}_{30}) = E. ({JRC}_{10}) {[\frac{L_{30}}{L_{10}}]}^{- D.}$ The converted limestone joint JRC size effect fractal dimension D = 0.4758.

Claims

1. A method for determining the size effect fractal dimension of the roughness coefficient of a typical rock mass structural surface, characterized in that it comprises the following steps:

(1) Corresponding to the required measurement direction, uniformly arrange the measuring sections whose lengths are respectively 10cm and 30cm;

(2) adopt profilometer to draw the profile curve of above-mentioned measuring section;

(3) measure the undulation amplitude R _y10 of each profile curve of the above-mentioned 10cm survey section;

(4) by the formula

{JRC}_{10} = 49.2114 e^{\frac{29}{450}} \arctan [\frac{4 R_{the y 10}}{5}]

Calculate the roughness coefficient JRC ₁₀ value of each 10cm measuring section separately;

(5) Calculate the expected value E(JRC ₁₀ ) of JRC ₁₀ according to the different roughness coefficients of each 10cm measuring section;

(6) measure the fluctuation amplitude R _y30 of each profile curve of the above-mentioned 30cm survey section;

(7) by the formula

{JRC}_{30} = 49.2114 e^{\frac{29 L_{10}}{450 L_{30}}} \arctan [\frac{8 R_{Y 30}}{L_{30}}]

Calculate the roughness coefficient JRC ₃₀ value of each 30cm section separately;

(8) Calculate the expected value E(JRC ₃₀ ) of JRC ₃₀ according to the different roughness coefficients of each 30cm measuring section;

(9) By JRC size effect fractal model

E. ({JRC}_{30}) = E. ({JRC}_{10}) {[\frac{L_{30}}{L_{10}}]}^{- D.},

The JRC size effect fractal dimension D of a typical rock mass discontinuity plane can be obtained by conversion.