CN115266339A - Method for calculating uniaxial compressive strength of granite - Google Patents
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- 239000010438 granite Substances 0.000 title claims abstract description 168
- 238000000034 method Methods 0.000 title claims abstract description 48
- 229910052500 inorganic mineral Inorganic materials 0.000 claims abstract description 64
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- 238000004364 calculation method Methods 0.000 claims abstract description 26
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- 239000011435 rock Substances 0.000 claims description 32
- 239000010453 quartz Substances 0.000 claims description 27
- VYPSYNLAJGMNEJ-UHFFFAOYSA-N silicon dioxide Inorganic materials O=[Si]=O VYPSYNLAJGMNEJ-UHFFFAOYSA-N 0.000 claims description 27
- 229910052655 plagioclase feldspar Inorganic materials 0.000 claims description 19
- DLHONNLASJQAHX-UHFFFAOYSA-N aluminum;potassium;oxygen(2-);silicon(4+) Chemical compound [O-2].[O-2].[O-2].[O-2].[O-2].[O-2].[O-2].[O-2].[Al+3].[Si+4].[Si+4].[Si+4].[K+] DLHONNLASJQAHX-UHFFFAOYSA-N 0.000 claims description 14
- 239000010433 feldspar Substances 0.000 claims description 11
- 239000010419 fine particle Substances 0.000 claims description 10
- KWYUFKZDYYNOTN-UHFFFAOYSA-M Potassium hydroxide Chemical compound [OH-].[K+] KWYUFKZDYYNOTN-UHFFFAOYSA-M 0.000 claims description 8
- 229940072033 potash Drugs 0.000 claims description 8
- BWHMMNNQKKPAPP-UHFFFAOYSA-L potassium carbonate Substances [K+].[K+].[O-]C([O-])=O BWHMMNNQKKPAPP-UHFFFAOYSA-L 0.000 claims description 8
- 235000015320 potassium carbonate Nutrition 0.000 claims description 8
- 238000005070 sampling Methods 0.000 claims description 7
- 239000011362 coarse particle Substances 0.000 claims description 4
- 238000012935 Averaging Methods 0.000 claims description 3
- ZLMJMSJWJFRBEC-UHFFFAOYSA-N Potassium Chemical compound [K] ZLMJMSJWJFRBEC-UHFFFAOYSA-N 0.000 claims description 3
- 229910052661 anorthite Inorganic materials 0.000 claims description 3
- GWWPLLOVYSCJIO-UHFFFAOYSA-N dialuminum;calcium;disilicate Chemical compound [Al+3].[Al+3].[Ca+2].[O-][Si]([O-])([O-])[O-].[O-][Si]([O-])([O-])[O-] GWWPLLOVYSCJIO-UHFFFAOYSA-N 0.000 claims description 3
- 239000011859 microparticle Substances 0.000 claims description 3
- 239000011591 potassium Substances 0.000 claims description 3
- 229910052700 potassium Inorganic materials 0.000 claims description 3
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Abstract
The invention provides a method for calculating uniaxial compressive strength of granite. The uniaxial compressive strength is obtained by the following steps: firstly, acquiring the main mineral content of various granites; then, obtaining the granularity coefficient of each grade of granite particles by grouping and grading different groups; obtaining a fitting formula of the main mineral content and the uniaxial compressive strength according to the main mineral content and the measured uniaxial compressive strength; and finally, obtaining a calculation formula of the uniaxial compressive strength of the granite through the obtained granularity coefficient and a fitting formula. The calculation method has the advantages that the factors considered are comprehensive, the accuracy of the data is high, and the accuracy of the obtained granite uniaxial compressive strength calculation method is high; can simply, fast, accurately calculate the unipolar compressive strength of granite through the manpower, the calculation method degree of accuracy is high, the practicality is high, provides the method of obtaining granite unipolar compressive strength for actual engineering.
Description
Technical Field
The invention relates to the technical field of rock mechanical property measurement, in particular to a method for calculating uniaxial compressive strength of granite.
Background
Granite is an important component of a continental crust and is one of the marks of the earth which are different from other planets in a solar system, and the exposed area of the granite in China accounts for about 9 percent of the total area of the lands in China. The granite rock base has the advantages of large scale, stable production shape, uniform texture, high strength, permeation resistance and the like. When site selection is carried out, the intensity of granite needs to be measured, so that the research on the mechanical property of granite is of great significance.
The uniaxial compressive strength of the rock is a main parameter for representing the mechanical property of the rock, and the current methods for obtaining the uniaxial compressive strength of the rock mainly comprise two methods: (1) direct method: conventional uniaxial compressive strength measurement; (2) indirect method: and calculating the uniaxial compressive strength of the rock according to various parameters. The conventional uniaxial compressive strength measurement is that a uniaxial compression tester is adopted to directly measure the uniaxial compressive strength of the rock, firstly, a rock sample needs to be collected, then, a standard test piece is processed, then, the uniaxial compression tester is used for carrying out pressure test, test data is recorded, and the test result representing the mechanical property of the rock can be obtained by processing the data. The conventional uniaxial compressive strength measurement has a long period in the whole process, and requires a complete rock sample and cannot contain joint fractures during measurement. In the field construction process, however, the mechanical properties of the rock are often preliminarily estimated by field engineering technicians, so that appropriate parameters can be conveniently selected for some engineering constructions; meanwhile, in the process of testing the indoor rock force performance, a tester also needs to estimate the strength value so as to set the highest uniaxial peak strength controlled by the tester. It can be seen that the conventional rock mechanical property measurement has long period and poor practicability. Although the method for calculating the uniaxial compressive strength of the rock through various parameters has high measuring speed and low requirement on the shape of a sample, the problems of large discrete type of a test result, low accuracy of a calculation result and the like exist in the conventional method for calculating the uniaxial compressive strength of the rock.
The invention patent with the application number of CN202010043660.3 discloses a TBM carrying type rock compressive strength rapid prediction system and method based on rock components and structures. The prediction system is carried on the side surface of a left support boot of the open TBM and comprises a protection device, a hydraulic device, a servo motor, a detection device, a control system and a data comprehensive analysis platform. When the device works, the detection device inputs various detected parameter information of the target surrounding rock to the data comprehensive analysis platform, and the data comprehensive analysis platform processes and analyzes various parameters to finally give a rock compressive strength prediction result. In the method, the selected parameters are wave velocity value, average particle size, mineral types and content, and the average particle size is selected as an analysis basis due to large deviation of the rock particle size, so that the defect of inaccurate measurement result exists; in addition, the device completely depends on the neural network, various parameters are analyzed through the neural network, the calculation process is complex, the intensity result cannot be directly calculated through manpower in the area where the network is inconvenient, and the practicability is low.
Researches show that the mineral composition of granite is the basis of the mechanical properties of granite, and the main rock-making mineral content, mineral particle size and microcracks of granite are main parameters influencing the mechanical properties of granite. The influence of the microcracks on the uniaxial compressive strength of the granite with better integrity is smaller, and the amount of the microcracks is difficult to directly observe and obtain. Therefore, the uniaxial compressive strength of granite with better integrity (granite with poor integrity can be directly distinguished by naked eyes) is mainly related to the content of rock-making minerals and the size of mineral particles. The mineral content and the mineral particle size of the rock-making are relatively easily obtained, and the rock and ore identification related to the petrological characteristics of the region is generally carried out in the geological investigation stage before the engineering construction so as to obtain the main mineral content and the mineral particle size of the granite. Even if the granite in the area is not subjected to the geological survey in the previous period, the main rock-making mineral content can be obtained by sampling and carrying out relatively simple rock ore identification. Therefore, it is an urgent problem to calculate the uniaxial compressive strength of granite simply, rapidly and accurately by using the easily obtained data of the main mineral content and the mineral particle size.
In view of the above, there is a need to design an improved method for calculating the uniaxial compressive strength of granite to solve the above problems.
Disclosure of Invention
The invention aims to provide a method for calculating the uniaxial compressive strength of granite, which starts with the mass percentage content parameter and the granularity parameter of minerals influencing the main factors of the uniaxial compressive strength of granite to obtain a calculation formula of the uniaxial compressive strength of granite; secondly, the granularity parameter in the formula is the granularity obtained by grading each group, and the granularity is not the average granularity, so that the accuracy of the result is higher.
In order to achieve the above object, the present invention provides a method for calculating uniaxial compressive strength of granite, which is obtained by the following formula:
σc＝a×[(-2.003WQ+247.6)×WQ÷100+(1.635Wk+115.8)×Wk÷ 100+(1.052Wp+132.52)×Wp÷100+(-17.256WB+250.6)×WB÷100]；
wherein σcThe uniaxial compressive strength of the granite to be detected;
a is the corresponding granularity coefficient of the granite to be detected; the granite to be detected is divided into five grades according to the grain size, and the grain size range of each grade is as follows: the macro grains are more than 10mm, the coarse grains are more than 5mm and less than or equal to 10mm, the medium grains are more than 2mm and less than or equal to 5mm, the fine grains are more than or equal to 0.2mm and less than or equal to 2mm, and the micro grains are less than 0.2mm; the granularity coefficient a of each stage takes the value as follows: macroparticle a1=0.8112, coarse a2=0.8954, medium a3=1, fine a4=1.108, fine a5=1.256;
WQthe mass percentage of quartz in the granite to be detected is;
Wkthe mass percentage of the potassium feldspar in the granite to be detected is;
Wpthe mass percentage of the anorthite in the granite to be detected is;
WBthe mass percentage of the biotite in the granite to be measured.
As a further improvement of the method, the mass percentages of quartz, potash feldspar, plagioclase feldspar and biotite in the granite to be detected are obtained by consulting geological survey reports, or the granite to be detected is sampled and the rock and ore are determined.
As a further improvement of the invention, the deviation between the uniaxial compressive strength value of the granite calculated by the method for calculating the uniaxial compressive strength of the granite and the uniaxial compressive strength value of the granite directly measured by a uniaxial pressure tester is less than 2%.
As a further improvement of the invention, the uniaxial compressive strength is obtained by the following steps:
s1, acquiring the mass percentage of main minerals in various granites to be detected;
s2, sampling various to-be-detected granites, grouping the granites according to the mass percentage of main minerals, grading the granites in each group according to the particle size, respectively measuring the uniaxial compressive strength of each grade of granite in each group, and calculating the corresponding granularity coefficient of each grade of granite in each group according to the uniaxial compressive strength of each grade of granite in each group; averaging the granularity coefficients of the same level in different groups to obtain granularity coefficients corresponding to different levels of granite;
s3, respectively obtaining a fitting formula of the mass percentage content and the uniaxial compressive strength of each main mineral;
and S4, obtaining the calculation method of the uniaxial compressive strength of the granite of different levels according to the granularity coefficient corresponding to the granite of different levels obtained in the step S2 and the fitting formula of the mass percentage content and the uniaxial compressive strength of various main minerals obtained in the step S3.
As a further improvement of the present invention, in step S2, the grouping is based on: dividing the mass percentage of different main minerals according to +/-2 wt% of a specified value, and dividing the same type of minerals into a group when the mass percentage of the same type of minerals is within +/-2 wt% of the specified value.
As a further improvement of the present invention, in step S2, the basis of the classification is: dividing the granite in each group into five grades of large grains, coarse grains, medium grains, fine grains and particles according to the particle size; wherein the particle size range of each stage is as follows: the macro grains are more than 10mm, the coarse grains are more than 5mm and less than or equal to 10mm, the medium grains are more than 2mm and less than or equal to 5mm, the fine grains are more than or equal to 0.2mm and less than or equal to 2mm, and the micro grains are less than 0.2mm.
As a further improvement of the invention, in step S2, the uniaxial compressive strength of each grade of granite is directly measured by using a uniaxial pressure tester; setting the particle size coefficient of the medium particles as 1, and determining the particle size coefficients of the giant particles, the coarse particles, the fine particles and the micro particles according to the ratio of the uniaxial compressive strength of each level to the uniaxial compressive strength of the medium particles; the granularity coefficient a of each level takes the value as follows: macroparticle a1=0.8112, coarse a2=0.8954, medium particle a3=1, fine particles a4=1.108, fine particles a5＝1.256。
As a further improvement of the invention, in step S1, the main minerals in granite include potash feldspar, plagioclase feldspar, quartz, biotite.
As a further improvement of the present invention, step S3 specifically includes: on the premise of not considering the particle size of the granite to be detected, respectively obtaining a fitting formula of the mass percentage contents of the potash feldspar, the plagioclase feldspar, the quartz and the biotite and the uniaxial compressive strength according to the mass percentage contents of the main minerals in the granite and the corresponding uniaxial compressive strength;
the mass percentage of quartz WQCompressive strength sigma to a single axisc1The fitting formula of (a) is: sigmac1＝-2.003WQ+247.6；
The mass percentage content W of the potassium feldsparkCompressive strength sigma to a single axisc2The fitting formula of (a) is: sigmac2＝1.635Wk+115.8；
The mass percentage content W of plagioclasepAnd uniaxial compressive strength sigmac3The fitting formula of (a) is: sigmac3＝1.052Wp+132.52；
The mass percentage content W of the biotiteBCompressive strength sigma to a single axisc4The fitting formula of (a) is: sigmac4＝-17.256WB+250.6。
As a further improvement of the present invention, step S4 specifically includes: weighting the fitting formulas of the potassium feldspar, the plagioclase feldspar, the quartz, the biotite and the uniaxial compressive strength obtained in the step S3, and multiplying the fitting formulas by the corresponding grade of the granularity coefficient a to obtain a calculation formula of the uniaxial compressive strength of the granite to be detected:
σc＝a×[(-2.003WQ+247.6)×WQ÷100+(1.635Wk+115.8)×Wk÷ 100+(1.052Wp+132.52)×Wp÷100+(-17.256WB+250.6)×WB÷100]。
the invention has the beneficial effects that:
(1) The method for calculating the uniaxial compressive strength of the granite can simply, quickly and accurately calculate the uniaxial compressive strength of the granite, namely the uniaxial compressive strength of the granite can be obtained without a complicated experimental mechanical test with a long period, engineering technicians responsible for field construction can be helped to make corresponding guidance work, and the occurrence of a delay time caused by waiting for a test result is avoided; can instruct rock mechanics testing personnel, set up suitable test parameter for the press before experimental, avoid causing the condition that pressure test is unsuccessful or the test machine damages to take place because of parameter selection is unreasonable. The calculation method has high accuracy and high practicability, and can be realized through simple calculation of manpower.
(2) The method for calculating the uniaxial compressive strength of the granite comprises the steps of firstly, obtaining the mass percentage of main minerals of various granites; then, grouping and grading different groups to obtain the granularity coefficient of each level of granite particles; obtaining a fitting formula of the mass percentage of the main minerals and the uniaxial compressive strength according to the mass percentage of the main minerals and the measured uniaxial compressive strength; and finally, obtaining a calculation formula of the uniaxial compressive strength of the granite through the obtained granularity coefficient and a fitting formula. The method starts with the mass percentage parameters and the granularity parameters of the minerals which influence the main factors of the uniaxial compressive strength of the granite to obtain the calculation formula of the uniaxial compressive strength of the granite, and firstly, the mass percentage parameters and the granularity parameters of the minerals are easy to obtain, so that the determination process of the calculation formula is simpler; secondly, the granularity parameter in the formula is the granularity obtained by grading each group, and the granularity is not the average granularity, so that the accuracy of the result is higher; therefore, the factors considered by the calculation formula are comprehensive, and the accuracy of the data is high, so that the accuracy of the obtained granite uniaxial compressive strength calculation formula is high.
Drawings
FIG. 1 is a flow chart of the method for calculating uniaxial compressive strength of granite according to the present invention.
FIG. 2 is a linear relationship diagram of the mass percentage of 4 main minerals and uniaxial compressive strength of the invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the present invention more apparent, the present invention will be described in detail with reference to the accompanying drawings and specific embodiments.
It should be noted that, in order to avoid obscuring the present invention with unnecessary details, only the structures and/or processing steps closely related to the aspects of the present invention are shown in the drawings, and other details not closely related to the present invention are omitted.
In addition, it should be further noted that the terms "comprises," "comprising," or any other variation thereof, are intended to cover a non-exclusive inclusion, such that a process, method, article, or apparatus that comprises a list of elements does not include only those elements but may include other elements not expressly listed or inherent to such process, method, article, or apparatus.
The invention provides a method for calculating uniaxial compressive strength of granite, which is obtained by the following formula:
σc＝a×[(-2.003WQ+247.6)×WQ÷100+(1.635Wk+115.8)×Wk÷ 100+(1.052Wp+132.52)×Wp÷100+(-17.256WB+250.6)×WB÷100]；
wherein σcThe uniaxial compressive strength of the granite to be detected;
a is the corresponding granularity coefficient of the granite to be detected; the granite to be detected is divided into five grades according to the grain size, and the grain size range of each grade is as follows: the macro grains are more than 10mm, the coarse grains are more than 5mm and less than or equal to 10mm, the medium grains are more than 2mm and less than or equal to 5mm, the fine grains are more than or equal to 0.2mm and less than or equal to 2mm, and the micro grains are less than 0.2mm; the granularity coefficient a of each stage takes the value as follows: macroparticle a1=0.8112, coarse a2=0.8954, medium a3=1, fine a4=1.108, fine a5=1.256;
WQthe mass percentage of quartz in the granite to be detected is;
Wkthe mass percentage of the potassium feldspar in the granite to be detected is;
Wpthe mass percentage of the anorthite in the granite to be detected is;
WBthe mass percentage of the biotite in the granite to be measured.
Specifically, the mass percentage contents of quartz, potash feldspar, plagioclase and biotite in the granite to be detected are obtained by looking up geological survey reports, or are obtained by sampling the granite to be detected and performing rock and ore measurement.
The deviation between the uniaxial compressive strength value of the granite calculated by the method for calculating the uniaxial compressive strength of the granite and the uniaxial compressive strength value of the granite directly measured by a uniaxial pressure tester is less than 2 percent.
Referring to fig. 1, the uniaxial compressive strength of the present invention is obtained by the following steps:
s1, obtaining content:
the mass percentage content of main minerals in various to-be-detected granites is obtained by looking up geological survey reports or sampling various granites in the to-be-detected area and determining the rock and the ore.
Wherein, the main minerals in the granite comprise potassium feldspar, plagioclase feldspar, quartz and biotite. In the more common granite category, the mass percentage of 4 common minerals of potash feldspar, plagioclase feldspar, quartz and biotite accounts for 95-99 wt% of the whole rock, so the main minerals in the granite are set as potash feldspar, plagioclase feldspar, quartz and biotite.
S2, determining a granularity coefficient:
in addition to the main rock-making mineral content, mineral particle size is also an important feature affecting the mechanical properties of rock. According to research, the obvious linear relation between the uniaxial compressive strength of the granite and the size of the mineral particles is shown, and the relation is a negative correlation, namely on the premise that the mineral components are basically the same, the larger the mineral particles are, the smaller the uniaxial compressive strength of the granite is.
Sampling various granites to be detected, grouping the granites according to the mass percentage of the main minerals, and grouping the granites with similar mass percentages into a group. The specific grouping is based on: dividing the mass percentage of different main minerals according to +/-2 wt% of a specified value, and dividing the same type of minerals into a group when the mass percentage of the same type of minerals is within +/-2 wt% of the specified value. For example: (1) If the quartz content in a certain group is 60wt%, it indicates that the actual quartz content is 58wt% to 62wt%. (2) Measuring 42wt% of quartz, 38wt% of plagioclase, 15wt% of potassium feldspar and 3wt% of biotite in a certain granite; the other granite was measured to have 40wt% of quartz, 40wt% of plagioclase feldspar, 14wt% of potassium feldspar and 2wt% of biotite, and the two granites were classified into one group according to the composition.
After grouping is finished, the granite in each group is classified according to the particle size, and the granite in each group is divided into five grades of large grains, coarse grains, medium grains, fine grains and particles according to the particle size. Wherein the particle size range of each stage is as follows: the macro grains are more than 10mm, the coarse grains are more than 5mm and less than or equal to 10mm, the medium grains are more than 2mm and less than or equal to 5mm, the fine grains are more than or equal to 0.2mm and less than or equal to 2mm, and the micro grains are less than 0.2mm.
Survey the unipolar compressive strength of every grade granite in every group respectively (adopt unipolar pressure testing machine direct determination), calculate the granularity coefficient that every grade granite corresponds in every group according to every grade granite's unipolar compressive strength in every group, specifically do: the grain size coefficient of the medium grains is determined to be 1, and the grain size coefficients of the large grains, the coarse grains, the fine grains and the fine grains are determined by the ratio of the uniaxial compressive strength of each level to the uniaxial compressive strength of the medium grains. Under the condition of not considering the granularity coefficient, the uniaxial compressive strength calculated by the method is closest to the uniaxial compressive strength of the actually measured medium-grain granite, and the granularity coefficient of the medium-grain granite is determined to be 1 in order to improve the accuracy of a formula. Further, it is found from the data directly measured by the uniaxial pressure tester that the uniaxial compressive strength of the fine particles is more than twice that of the medium particles, and the uniaxial compressive strength of the coarse particles is smaller than that of the medium particles, and therefore, the particle size coefficient of the medium particle granite is set to 1.
Averaging the granularity coefficients of the same level in different groups to obtain granularity coefficients corresponding to different levels of granite; the granularity coefficient a of each level takes the value as follows: macroparticle a1=0.8112, coarse a2=0.8954, medium particle a3=1, fine particles a4=1.108, microparticle a5=1.256. Wherein, coarse grain a2=0.8954, meaning that the uniaxial compressive strength of coarse-grained granite is 89.54% of granular granite in the same composition. (these data are based on a summary of the results of a number of tests)
S3, determining a fitting formula of the mass percentage content and the uniaxial compressive strength of various main minerals:
in spite ofOn the premise of granite particle size, according to the mass percentage content of the main minerals in the obtained granite and the corresponding uniaxial compressive strength, respectively obtaining a fitting formula of the mass percentage content and the uniaxial compressive strength of the potassium feldspar, the plagioclase feldspar, the quartz and the biotite. Specifically, as shown in fig. 2, the W/% and the uniaxial compressive strength σ of the single mineral can be obtained by data fitting of scattered pointscFitting formula of/MPa: (these fitting equations are based on a summary of the results of a number of experiments)
The mass percentage of quartz WQAnd uniaxial compressive strength sigmac1The fitting formula of (a) is: sigmac1＝-2.003WQ+247.6；
The mass percentage content W of the potassium feldsparkCompressive strength sigma to a single axisc2The fitting formula of (a) is: sigmac2＝1.635Wk+115.8；
The mass percentage content W of plagioclasepAnd uniaxial compressive strength sigmac3The fitting formula of (c) is: sigmac3＝1.052Wp+132.52；
The mass percentage content W of the biotiteBCompressive strength sigma to a single axisc4The fitting formula of (a) is: sigmac4＝-17.256WB+250.6。
S4, determining a calculation formula of uniaxial compressive strength of different levels of granite:
and (4) obtaining a calculation method of the uniaxial compressive strength of the granite to be measured according to the granularity coefficients corresponding to the granites of different grades obtained in the step (S2) and the fitting formula of the mass percentage content and the uniaxial compressive strength of the various main minerals obtained in the step (S3).
The method specifically comprises the following steps: weighting the fitting formulas of the mass percentages of the potassium feldspar, the plagioclase feldspar, the quartz and the biotite and the uniaxial compressive strength obtained in the step S3 (namely summing up 4 fitting formulas corresponding to 4 minerals according to different content ratios), and multiplying by the granularity coefficient a of the corresponding level to obtain the calculation formulas of the uniaxial compressive strengths of the granites of different levels:
σc＝a×[(-2.003WQ+247.6)×WQ÷100+(1.635Wk+115.8)× Wk÷100+(1.052Wp+132.52)×Wp÷100+(-17.256WB+250.6)× WB÷100]。
the invention is described in detail below by means of a number of examples:
example 1
Calculate the uniaxial compressive strength of a certain medium-grain biotite double-long granite sample.
The content of main minerals of the medium-grain biotite dilonggranite is obtained by looking up geological survey reports or carrying out rock ore determination on the medium-grain biotite dilonggranite: 46wt% of quartz, 29wt% of potassium feldspar, 18wt% of plagioclase feldspar and 5wt% of biotite.
According to the granularity coefficient calculated by the invention, the medium particle a can be known3＝1
σc＝a3×[(-2.003WQ+247.6)×WQ÷100+(1.635Wk+115.8)× Wk÷100+(1.052Wp+132.52)×Wp÷100+(-17.256WB+250.6)× WB÷100](ii) a Namely: sigmac＝1×[(-2.003×46+247.6)×46÷100+(1.635× 29+115.8)×29÷100+(1.052×18+132.52)×18÷100+(-17.256× 5+250.6)×5÷100]；
To obtain sigmac=154.32MPa, namely the uniaxial compressive strength of the medium-grain biotite two-long granite sample is 154.32MPa.
The uniaxial compressive strength of the medium-grained biotite dilonge granite sample directly measured by a uniaxial pressure tester is 156.52MPa, and the deviation of the uniaxial compressive strength and the uniaxial compressive strength is 1.41 percent.
Deviation = | granite uniaxial compressive strength value calculated by calculation method of the invention-granite uniaxial compressive strength value directly measured by uniaxial pressure tester |/' granite uniaxial compressive strength value directly measured by uniaxial pressure tester × 100%
Example 2
Calculate the uniaxial compressive strength of a sample of coarse biotite and extra-long granite.
The content of main minerals of the coarse-grained biotite is obtained by looking up geological survey reports or carrying out rock and ore determination on coarse-grained biotite dilonge granite: 42 percent of quartz, 32 percent of potassium feldspar, 20 percent of plagioclase feldspar and 4 percent of biotite
According to the particle size coefficient calculated by the invention, the coarse particle a can be known2＝0.8954。
σc＝a2×[(-2.003WQ+247.6)×WQ÷100+(1.635Wk+115.8)× Wk÷100+(1.052Wp+132.52)×Wp÷100+(-17.256WB+250.6)× WB÷100]；σc＝0.8954×[(-2.003×42+247.6)×42÷100+(1.635× 32+115.8)×32÷100+(1.052×20+132.52)×20÷100+(-17.256× 4+250.6)×4÷100]
To obtain sigmac=143.65MPa, i.e. the uniaxial compressive strength of the coarse biotite two long granite sample is 143.65MPa.
The uniaxial compressive strength of the coarse biotite dilonge granite sample directly measured by a uniaxial pressure tester is 142.50, and the deviation of the uniaxial compressive strength and the uniaxial compressive strength is 0.81 percent
Example 3
Calculate the uniaxial compressive strength of a sample of particulate biotite dilong granite.
The content of main minerals of the fine particle biotite dilonggranite is obtained by consulting geological survey reports or carrying out rock ore determination on the fine particle biotite dilonggranite: 43wt% of quartz, 29wt% of potassium feldspar, 22wt% of plagioclase feldspar and 5wt% of biotite.
According to the particle size coefficient calculated by the invention, the particle a can be known5＝1.256。
σc＝a5×[(-2.003WQ+247.6)×WQ÷100+(1.635Wk+115.8)× Wk÷100+(1.052Wp+132.52)×Wp÷100+(-17.256WB+250.6)× WB÷100]；σc＝1.256×[(-2.003×43+247.6)×43÷100+(1.635× 29+115.8)×29÷100+(1.052×22+132.52)×22÷100+(-17.256× 5+250.6)×5÷100]
To obtain sigmac=205.35MPa, i.e. the uniaxial compressive strength of the particulate biotite dilong granite sample is MPa.
The uniaxial compressive strength of the particulate biotite dilonge granite sample directly measured by a uniaxial compression tester was 202.55MPa, with a deviation of 1.38%.
In summary, according to the method for calculating the uniaxial compressive strength of granite provided by the invention, a calculation formula of the uniaxial compressive strength of granite is obtained by starting from the mineral mass percentage content parameter and the particle size parameter which influence the main factors of the uniaxial compressive strength of granite, and firstly, the mineral mass percentage content parameter and the particle size parameter are easy to obtain, so that the determination process of the calculation method is simpler; secondly, the granularity parameter in the formula adopts the granularity obtained by grading each group, and the granularity is not the average granularity, so that the accuracy of the result is higher; the uniaxial compressive strength of the granite can be simply, quickly and accurately calculated through manpower, the calculation method is high in accuracy and practicability, and a method for obtaining the uniaxial compressive strength of the granite is provided for practical engineering.
Although the present invention has been described in detail with reference to the preferred embodiments, it will be understood by those skilled in the art that various changes may be made and equivalents may be substituted for elements thereof without departing from the spirit and scope of the present invention.
Claims (10)
1. A method for calculating uniaxial compressive strength of granite is characterized by comprising the following steps: obtained by the following formula:
σc＝a×[(-2.003WQ+247.6)×WQ÷100+(1.635Wk+115.8)×Wk÷100+(1.052Wp+132.52)×Wp÷100+(-17.256WB+250.6)×WB÷100]；
wherein σcThe uniaxial compressive strength of the granite to be detected;
a is the corresponding granularity coefficient of the granite to be detected; the granite to be detected is divided into five grades according to the grain size, and the grain size range of each grade is as follows: the macro grains are more than 10mm, the coarse grains are more than 5mm and less than or equal to 10mm, the medium grains are more than 2mm and less than or equal to 5mm, the fine grains are more than or equal to 0.2mm and less than or equal to 2mm, and the micro grains are less than 0.2mm; the granularity coefficient a of each stage takes the value as follows: macroparticle a1=0.8112, coarse a2=0.8954, medium a3=1, fine a4=1.108, fine a5=1.256;
WQthe mass percentage of quartz in the granite to be detected is;
Wkthe mass percentage of the potassium feldspar in the granite to be detected is;
Wpthe mass percentage of the anorthite in the granite to be detected is;
WBthe mass percentage of the biotite in the granite to be measured.
2. The method for calculating the uniaxial compressive strength of granite according to claim 1, wherein: the mass percentage content of quartz, potash feldspar, plagioclase feldspar and biotite in the granite to be detected is obtained by looking up a geological survey report, or is obtained by sampling the granite to be detected and determining rock and ore.
3. The method for calculating the uniaxial compressive strength of granite according to claim 1, wherein: the deviation between the granite uniaxial compressive strength value obtained by calculating the granite uniaxial compressive strength by the calculation method and the granite uniaxial compressive strength value directly measured by adopting a uniaxial pressure tester is less than 2%.
4. The method for calculating the uniaxial compressive strength of granite according to claim 1, wherein: the uniaxial compressive strength is obtained by the following steps:
s1, acquiring the mass percentage of main minerals in various granites to be detected;
s2, sampling various to-be-detected granites, grouping the granites according to the mass percentage of main minerals, grading the granites in each group according to the particle size, respectively measuring the uniaxial compressive strength of each grade of granite in each group, and calculating the granularity coefficient corresponding to each grade of granite in each group according to the uniaxial compressive strength of each grade of granite in each group; averaging the granularity coefficients of the same level in different groups to obtain granularity coefficients corresponding to different levels of granite;
s3, respectively obtaining a fitting formula of the mass percentage content and the uniaxial compressive strength of each main mineral;
and S4, obtaining a calculation formula of the uniaxial compressive strength of the granite of different levels according to the granularity coefficient corresponding to the granite of different levels obtained in the step S2 and the fitting formula of the mass percentage content and the uniaxial compressive strength of various main minerals obtained in the step S3.
5. The method for calculating uniaxial compressive strength of granite according to claim 4, wherein: in step S2, the grouping is based on: dividing the mass percentage of different main minerals according to +/-2 wt% of a specified value, and dividing the same type of minerals into a group when the mass percentage of the same type of minerals is within +/-2 wt% of the specified value.
6. The method for calculating the uniaxial compressive strength of granite according to claim 4, wherein: in step S2, the basis of the classification is: dividing the granite in each group into five grades of large grains, coarse grains, medium grains, fine grains and particles according to the particle size; wherein the particle size range of each stage is as follows: the macro grains are more than 10mm, the coarse grains are more than 5mm and less than or equal to 10mm, the medium grains are more than 2mm and less than or equal to 5mm, the fine grains are more than or equal to 0.2mm and less than or equal to 2mm, and the micro grains are less than 0.2mm.
7. The method for calculating the uniaxial compressive strength of granite according to claim 6, wherein: in the step S2, the uniaxial compressive strength of each grade of granite is directly measured by adopting a uniaxial pressure tester; setting the particle size coefficient of the medium particles as 1, and determining the particle size coefficients of the giant particles, the coarse particles, the fine particles and the micro particles according to the ratio of the uniaxial compressive strength of each level to the uniaxial compressive strength of the medium particles; the granularity coefficient a of each level takes the value as follows: giant grain a1=0.8112, coarse a2=0.8954, medium particle a3=1, fine particles a4=1.108, fine particles a5＝1.256。
8. The method for calculating the uniaxial compressive strength of granite according to claim 4, wherein: in the step S1, the main minerals in the granite comprise potash feldspar, plagioclase feldspar, quartz and biotite.
9. The method for calculating uniaxial compressive strength of granite according to claim 8, wherein: the step S3 specifically comprises the following steps: on the premise of not considering the particle size of the granite to be detected, respectively obtaining a fitting formula of the mass percentage content of potassium feldspar, plagioclase feldspar, quartz and biotite and the uniaxial compressive strength according to the mass percentage content of the main minerals in the granite and the corresponding uniaxial compressive strength;
the mass percentage of quartz WQAnd uniaxial compressive strength sigmac1The fitting formula of (a) is: sigmac1＝-2.003WQ+247.6；
The mass percentage content W of the potassium feldsparkCompressive strength sigma to a single axisc2The fitting formula of (a) is: sigmac2＝1.635Wk+115.8；
The mass percentage content W of plagioclasepCompressive strength sigma to a single axisc3The fitting formula of (a) is: sigmac3＝1.052Wp+132.52；
The mass percentage content W of the biotiteBAnd uniaxial compressive strength sigmac4The fitting formula of (c) is: sigmac4＝-17.256WB+250.6。
10. The method for calculating the uniaxial compressive strength of granite according to claim 9, wherein: the step S4 specifically comprises the following steps: weighting the fitting formula of the mass percentage contents of the potassium feldspar, the plagioclase feldspar, the quartz and the biotite and the uniaxial compressive strength obtained in the step S3, and multiplying the weighted fitting formula by the corresponding grade of the granularity coefficient a to obtain the calculation method of the uniaxial compressive strength of the granite to be measured:
σc＝a×[(-2.003WQ+247.6)×WQ÷100+(1.635Wk+115.8)×Wk÷100+(1.052Wp+132.52)×Wp÷100+(-17.256WB+250.6)×WB÷100]。
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