scholarly journals Analysis of fracture deformation field and energy evolution of granite after high confining pressure cyclic load pre-damage

2021 ◽  
Vol 8 (6) ◽  
pp. 201966
Author(s):  
Dongjie Yang ◽  
Jianhua Hu ◽  
Guanping Wen ◽  
Pingping Zeng

Considering the recent developments of deep mining, investigating the rock properties under high ground stress periodic load is highly demanded. Studies show that these characteristics are important factors affecting the long-term steadiness of rock. However, the mechanical properties of rock mass without macro failure after cyclic load should be studied. In the present study, granite in a mine is considered as the research object. A rock pre-damage experiment is conducted with the same cycles under different confining pressures and constant cycle upper and lower limit loads. The pre-damaged rock sample is subjected to a uniaxial compression test, and a high-speed charge couple device camera is used to record the speckle field image of the sample surface during the whole loading process. The digital speckle techniques are used to analyse the image of the pre-damaged sample, the deformation field of the specimen surface, the displacement dislocation value of the localized deformation area and the deformation energy value of the specimen surface. The results show that for the same cycle times, the confining pressure is less than 80 MPa, which has a weakening effect on the rock's axial strength. As the confining pressure approaches 120 MPa, the pre-damaged rock uniaxial peak strength increases. The characteristics of displacement dislocation energy evolution of the localized deformation bound are divided into three stages (pre-peak stage, peak point and post-peak stage). After pre-damage under the same cycle times and different confining pressure conditions, the deformation field evolution of rock is relatively consistent.

2018 ◽  
Vol 2018 ◽  
pp. 1-8 ◽  
Author(s):  
Shuren Wang ◽  
Paul Hagan ◽  
Yanhai Zhao ◽  
Xu Chang ◽  
Ki-Il Song ◽  
...  

To investigate the mechanical properties and energy evolution characteristics of sandstone depending on the water contents and confining pressure, the uniaxial and triaxial tests were conducted. The test results show that the strain energy was stored in the sandstone samples at the prepeak stage, and that is suddenly released when the failure occurred, and energy dissipation is sharply increased at the postpeak stage. The damage and energy dissipation characteristics of the samples are observed clearly under the stepwise loading and unloading process. The critical strain energy and energy dissipation show a clear exponential relationship. The critical elastic energy decreases linearly as the water content increases. As the confining pressure increases, the critical elastic energy of the samples transforms from linear to exponential. The concept of energy enhancement factor is proposed to characterize the strengthening effect induced by the confining pressure on the energy storage capacity of the rock samples. The energy evolution of the sandstone samples is more sensitive to the confining pressure than that of the water content.


Symmetry ◽  
2019 ◽  
Vol 11 (2) ◽  
pp. 131 ◽  
Author(s):  
Yubao Zhang ◽  
Tongbin Zhao ◽  
Yanchun Yin ◽  
Yunliang Tan ◽  
Yue Qiu

Research on energy accumulation and releasing in the rock plays a key role on revealing its failure mechanism. This paper establishes a microscopic structure model of granite using Otsu digital image processing (DIP) technology and particle flow code software (PFC2D). A series of numerical compression tests under different confining pressures were conducted to investigate the macro and micro characteristics of energy evolution in granite. The results showed that the energy evolution of granite is divided into three stages: stable accumulation, slow dissipation, and rapid release. With increasing confining pressure, the strain energy accumulation ratio decreased exponentially and the peak value of strain energy increased linearly. It was found that the energy accumulation speed in the pre-peak stage increased as a linear function, while the energy release speed in the post-peak stage decreased as an exponential function. In addition, the feldspar is the main microstructure which played a major part in accumulating energy in granite. However, the unit mineral energy of mica particles was bigger than that of feldspar and quartz. When subjected to increasing confining pressure, the feldspar’s total energy growth rate was fastest. Meanwhile, the mica’s unit energy growth rate was fastest.


2021 ◽  
Author(s):  
Ammar El-Husseiny

Abstract This study investigates the impact of petrophysical rock properties on the velocity-pressure relationship in carbonates. It presents an approach to predict the changes in compressional velocity (Vp) as function of pressure in carbonates. The approach honors the complexity of carbonates by incorporating various petrophysical rock properties including bulk density, porosity, mineralogy and pore stiffness. The data used in this study consists of rock properties (density, porosity, mineralogy) and elastic velocity measured as function of confining pressure for 220 carbonate core plug samples from published literature. Pearson correlation coefficient was calculated to evaluate the significance of each property in predicting velocity-pressure relationship. A simple regression was formulated incorporating all significant input rock properties to predict Vp as function of pressure based on initial measured velocity at a given pressure. The predictions were compared with the measured Vp. The results show that the sensitivity of Vp to changes in pressure increases as the porosity and pore compressiblity increases. On the other hand, samples with higher bulk density and Vp / Vs ratio (at initial lowest pressure) show little Vp variations as function of increasing pressure. High Vp / Vs values are observed in samples that are well cemented and have less clay or silisiclastic fraction. Such characteristics reduce the compressibility of pores leading to non-variable velocity-pressure relationship. Incorporating the rock properties in regression analysis could successfully predict Vp as function of pressure with a correlation coefficient of 0.99 and average absolute error of less than 3%. Since all input parameters (rock properties) can be estimated from well logs, the presented approach can potentially be used to predict in-situ changes in Vp due to pressure changes. This can assist the interpretation of time lapse seismic, and in geomechanics-related applications.


2011 ◽  
Vol 250-253 ◽  
pp. 2238-2241
Author(s):  
Lu Yang ◽  
Xin Pu Shen ◽  
Hong Zheng ◽  
Dai Heng Chen

The focuses are to analyze the complicated damage process, and to determine the deformation field of the localized deformation and damage of the double notched concrete beam. Basic principle of the digital-speckle-correlate method (DSCM) was introduced. The displacement field of the beam under four-point- shear loading has been investigated with white-light speckle method, which can determined the speckle field of the surface of the deformation body rapidly and can be used to calculate the phase of deformation. Furthermore, the localized band of the deformation of the concrete can be recorded accurately. This method has shown that the procedure of experiment is convention, and can be used to determine various kind of deformation situation, including finite deformation and small deformation. Numerical calculation has been done to simulation the damage field and the whole damage field. The conclusion indicate that: compared with the localized band of the damage field and the damage process region of the experiment, damage field of the double of the notched beam from the numerical calculation can match it very well


1985 ◽  
Vol 25 (04) ◽  
pp. 473-481 ◽  
Author(s):  
Alan D. Black ◽  
Gordon A. Tibbitts ◽  
John L. Sandstrom ◽  
Bennie G. DiBona

Abstract The effects of size on the performance of three-cone bits were measured during laboratory drilling tests in shale at simulated downhole conditions. Four Reed HP-SM three-cone bits with diameters of 6, 7 7/8, 9, and 11 in. [165, 200, 241, and 279 mm] were used to drill Mancos shale with water-based mud. The tests were conducted at constant borehole pressure, two conditions of hydraulic horsepower per square inch of bit area, three conditions of rotary speed, and four conditions of weight-on-bit (WOB) per inch of bit diameter. The resulting rates of penetration (ROP's) and torques were measured. penetration (ROP's) and torques were measured. Statistical techniques were used to analyze the data. Introduction Drill bit manufacturers generally recommend WOB operating ranges for their bits in terms of pounds-force per inch of bit diameter. The practice of normalizing the per inch of bit diameter. The practice of normalizing the effect of bit size by expressing it in these terms has been widely used and often accepted as a "rule of thumb" in the drilling industry. Many have suspected that this rule of thumb may be an oversimplification because bit design tends to vary widely with size even in the same models, and hydraulic cleaning of the bit and bottom of the hole becomes much more difficult as size increases. A better understanding of the effects of size on bit performance and the validity of the WOB per inch of bit performance and the validity of the WOB per inch of bit diameter rule of thumb was sought by performing drilling tests with various-size bits under controlled laboratory conditions. Drilling tests were performed with four Reed HP-SM three-cone bits with diameters of 6, 7 7/8, 9, and 11 in. [165, 200, 241, and 279 mm]. As many variables as possible were held constant during the drilling tests, including rock type; confining pressure and overburden stress on the rock; mud type, properties, and temperature; and borehole pressure. Nozzle sizes and flow rates were selected so that each bit was tested at approximately the same conditions of hydraulic horsepower per square inch of bit area. Three rotary-speed conditions per square inch of bit area. Three rotary-speed conditions and four WOB per inch of diameter conditions were run. The resulting ROP's and torques were measured at each condition. A detailed statistical analysis was performed on me dam to determine the relationship between the independent variables of bit size, WOB, rotary speed, and hydraulic horsepower per square inch of bit area and the dependent variables of ROP, torque, and mechanical horsepower expended at the bit. Drill Bit, Rock, Mud, and Nozzle Selection Four new Reed HP-SM bits with diameters of 6, 7 7/8, 9, and 11 in. [165, 200, 241, and 279 mm] were provided by Reed Rock Bit Co. for the tests. The provided by Reed Rock Bit Co. for the tests. The HP-SM bit is specified in the IADC code under four classifications (537, 547, 617, and 627). The manufacturer recommends the HP-SM bit for both soft formations containing streaks of harder materials and medium-strength formations. The HP-SM bits have conical inserts except for the chisel-shaped inserts on the gauge row. The manufacturer's recommended operating ranges for WOB per inch of bit diameter and rotary speed are 3,000 to 6,000 lbf [525 to 1051 N/mm] per inch of bit diameter and 45 to 140 rev/min, respectively. Fig. 1 is a photograph of the HP-SM bits. The number of inserts, average insert diameter, and average insert length were measured and are listed in Table 1. The rock formation samples drilled were Mancos shale. Mancos shale is a Cretaceous, gray to black, shale/siltstone formation containing 10% clay composed of illite and chlorite. Samples 15 in. [394 mm] in diameter by 36 in. [914 mm] long were used for the 6–, 7 7/8–, and 9-in.- [165–, 200–, and 241-mm]-diameter bit tests. A sample 17 in. [445 mm] in diameter by 36 in. [914 mm] long was used for the 11-in.–[279-mm]-diameter bit test. All samples were originally cored from a massive surface outcropping located in central Utah and preserved for the drilling tests. Mancos shale has an unconfined compressive strength of 9,000 psi [62 053 kPa] and a permeability less than 1 d. Detailed rock properties permeability less than 1 d. Detailed rock properties and a comparison of laboratory and field shale drilling have been given previously. A "standard" water-based mud with properties listed in Table 2 was selected for the tests. To compare the performance of different-size bits, it was felt that hydraulic horsepower per square inch of bit area (HSI) should be held constant during the tests. It was also felt that similar pressure drops across the bit should be run if possible. Calculations were made to determine the nozzle diameters that would create approximately the same pressure drop at constant HSI conditions. SPEJ p. 473


2021 ◽  
Vol 2021 ◽  
pp. 1-27
Author(s):  
Gui-Lin Wang ◽  
Tian-Ci Cao ◽  
Fan Sun ◽  
Xing-Xiang Wen ◽  
Liang Zhang

Energy conversion and release occur through the entire deformation and failure process in jointed rock masses, and the accumulation and dissipation of rock mass energy in engineering can reveal the entire process of deformation and instability. This study uses PFC2D to carry out numerical simulation tests on single-joint sandstone under uniaxial compression and biaxial compression, respectively, and analyse the influence of joint inclination, length, and confining pressure on the meso-energy conversion process and phase evolution of jointed sandstone. Through analysis, it is found that the input meso total strain energy is transformed into meso dissipated energy and meso-elastic strain energy. Macroscopic and microscopic joint sandstone law is consistent with the overall energy evolution; and the difference is reflected in two aspects: (1) the microlevel energy evolution has no initial compaction energy consumption section and (2) the linear energy storage section before the macroenergy evolution peak can be subdivided into two sections in the meso-level energy evolution. Under uniaxial compression, the energy values at the characteristic points of the meso-level energy evolution phases first asymmetrically decrease and then increase with the increase of the joint inclination. The initiation point of jointed sandstone is significantly affected by the length of the joint, and the degradation effect of the meso-energy at the damage point and peak point weakens with the increase of the joint length. Comparing the data obtained from the PFC numerical simulation with the experimental data, it is found that the error is small, which shows the feasibility of the numerical model in this paper. Under biaxial compression, the accumulation rate of meso-elastic strain at the peak point of the jointed sandstone first decreases and then increases with the joint inclination angle. After the peak of jointed sandstone, the rate of sudden change of meso-energy change decreases with the increase of joint length. The conditions of high confining pressure will promote the meso-accumulated damage degree of the jointed sandstone before the peak, while inhibiting the meso-energy and the mutation degree of the damage after the peak. The higher the confining pressure, the more obvious the joint length and inclination effect characteristics of the elastic strain energy at the peak point of the jointed sandstone.


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