基于波速测量的岩石储能量化表征方法研究

doi:10.11872/j.issn.1005-2518.2019.02.223

Abstract

Abstract:

The underground rock mass stores a large amount of energy，disasters such as rock bursts will occur under certain conditions.The benign application of rock energy storage can not only effectively reduce the sudden release of energy，but also make use of rock energy.But there are still a series of technical problems to be solved in order to make it work.One of the key issues is how to accurately quantify the energy storage of deep rock mass.This study only qualitatively and quantitatively studies the elastic range of rock，using low-intensity red sandstone (sedimentary rock)，medium-strength marble (metamorphic rock) and high-strength granite (magmatic rock).The basic idea of ??this study is to explore the relationship between wave velocity and stress in the elastic phase of rock.The model is used to characterize the corresponding stress value by wave velocity，and then explore the relationship between stress and the corresponding energy density.The model uses stress to characterize the energy stored in the rock，and then compares the energy value obtained by the model with the actual energy value to verify the method of characterizing energy with wave velocity.The test results show that the longitudinal wave velocity and the compressive stress show a linear relationship in the three typical rock elastic stages，and the compressive stress and the rock energy storage basically conform to the complex power exponential relationship.The results also show that the theoretical value is not much different from the real value，the error is small，and the hard rock is more suitable than soft rock to be quantified the stored energy with this method，with higher precision and accuracy.In this paper，through the uniaxial repeated loading and unloading test and calculation of the typical rock specimens of marble，granite and red sandstone in the elastic range，the following conclusions are drawn: $①$ The three waves exhibit wave velocity with increasing stress.However，when the stress is 30 $%$ of the maximum stress，the wave velocity growth of the three rocks is relatively uniform.When the stress exceeds 30 $%$ of the maximum stress，the growth rate of marble and granite is still consistent，while the rate of growth of red sandstone is steep.Increase the phenomenon. $②$ The wave velocity and stress of the three rocks accord with the linear model.The accuracy of the red sandstone is lower than that of marble and granite.The total energy and elastic energy of the granite are larger than that of marble and red sandstone.The red sandstone has higher dissipative energy than marble and granite. $③$ According to the function of unloading wave velocity-stress and stress-elasticity，the wave velocity-elastic energy model is constructed and verified，the overall effect is better，and the accuracy and accuracy of hard rock are higher than that of soft rock.

Key words: typical rock, rock strength, unloaded wave velocity, elastic energy storage, composite exponential model, quantitative characterization

CLC Number:

TU45

Chunzhi GUO,Chunde MA,Yanan ZHOU,Zelin LIU,Shan LONG. Research on Quantitative Characterization Method of Rock Energy Storage Based on Wave Velocity Measurement[J].Gold Science and Technology, 2019, 27(2): 223-231.

Figures/Tables 11

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岩石类型	密度/(kg·cm^-3)	单轴抗压强度/MPa	弹性强度上限/MPa	弹性模量/GPa	泊松比
大理岩	2 710	105	84	65	0.24
花岗岩	2 632	121	96	52	0.26
红砂岩	2 426	54	43	12	0.21

岩样加卸载		k₁/(m·MPa^-1·s^-1)	v₀/（m·s^-1）	相关系数（R）
大理岩	1-加载	15.34	5 060	0.976
	2-加载	14.86	5 103	0.967
	3-加载	13.38	5 100	0.989
	平均值-加载	14.53	5 088	0.980
	1-卸载	14.49	5 102	0.977
	2-卸载	14.08	5 106	0.976
	3-卸载	14.14	5 088	0.993
	平均值-卸载	14.24	5 123	0.986
花岗岩	1-加载	9.21	4 568	0.961
	2-加载	8.45	4 623	0.978
	3-加载	8.38	4 576	0.983
	平均值-加载	8.68	4 589	0.979
	1-卸载	8.77	4 616	0.974
	2-卸载	7.97	4 679	0.969
	3-卸载	8.45	4 600	0.984
	平均值-卸载	8.40	4 632	0.979
红砂岩	1-加载	25.97	2 675	0.964
	2-加载	24.82	2 720	0.963
	3-加载	27.97	2 646	0.986
	平均值-加载	26.26	2 680	0.974
	1-卸载	24.05	2 746	0.961
	2-卸载	25.00	2 717	0.967
	3-卸载	27.59	2 660	0.986
	平均值-卸载	25.55	2 708	0.975

岩样加卸载		k₂(J/MPa)	幂指数α	相关系数（R）
大理岩	1-加载	0.003	1.798	0.998
	2-加载	0.003	1.750	0.997
	3-加载	0.003	1.788	0.998
	平均值-加载	0.003	1.778	0.998
	1-卸载	0.003	1.760	0.998
	2-卸载	0.003	1.757	0.998
	3-卸载	0.003	1.794	0.999
	平均值-卸载	0.003	1.770	0.998
花岗岩	1-加载	0.006	1.687	0.999
	2-加载	0.007	1.667	0.999
	3-加载	0.007	1.648	0.999
	平均值-加载	0.009	1.593	0.996
	1-卸载	0.006	1.690	0.999
	2-卸载	0.008	1.621	0.998
	3-卸载	0.007	1.632	0.998
	平均值-卸载	0.007	1.668	0.999
红砂岩	1-加载	0.019	1.704	0.999
	2-加载	0.019	1.700	0.998
	3-加载	0.018	1.724	0.998
	平均值-加载	0.019	1.709	0.998
	1-卸载	0.020	1.671	0.995
	2-卸载	0.019	1.684	0.994
	3-卸载	0.024	1.595	0.999
	平均值-卸载	0.021	1.648	0.997

V/（m·s^-1）	W_理论值/J	W_真实值/J	相对误差/%
6 213.00	8.448	8.496	0.56
6 167.00	7.038	7.523	6.45
6 078.00	6.097	6.593	7.52
6 049.33	5.806	5.714	1.61
6 006.67	5.385	4.907	9.74
5 951.00	4.456	4.136	7.74
5 878.67	3.605	3.420	5.41
5 787.00	3.239	2.760	17.36
5 711.33	2.458	2.175	13.01
5 666.00	2.032	1.646	23.45
5 570.00	1.700	1.178	44.31
5 467.00	1.312	0.777	68.85
5 312.00	0.611	0.449	36.08
5 203.33	0.263	0.211	24.64
5 105.33	0.064	0.080	20.00

V/（m·s^-1）	W_理论值/J	W_真实值/J	相对误差/%
5 385.00	13.196	13.351	1.16
5 306.00	11.601	11.681	0.68
5 274.67	10.789	10.553	2.24
5 241.33	9.615	9.281	3.60
5 207.33	8.059	8.309	3.01
5 190.00	7.647	7.370	3.76
5 138.00	6.341	6.255	1.37
5 106.67	5.530	5.279	4.75
5 088.00	4.608	4.422	4.21
5 063.67	3.984	3.540	12.54
5 003.33	3.195	2.927	9.16
4 967.00	2.555	2.176	17.42
4 889.67	2.038	1.614	26.27
4 799.33	1.410	1.107	27.37
4 752.33	0.589	0.697	15.49
4 694.67	0.121	0.372	67.47
4 668.00	0.036	0.143	74.83

Research on Quantitative Characterization Method of Rock Energy Storage Based on Wave Velocity Measurement

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