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http://dx.doi.org/10.9720/kseg.2019.3.339

Relationship between the P Wave Velocity, Static Elastic Modulus, and Dynamic Elastic Modulus of Rocks  

Moon, Seong-Woo (Department of Earth and Environmental Sciences, Chungbuk National University)
Kim, Hyeong-Sin (Department of Disaster Prevention Engineering, Chungbuk National University)
Yun, Hyun-Seok (Department of Earth and Environmental Sciences, Chungbuk National University)
Seo, Yong-Seok (Department of Earth and Environmental Sciences, Chungbuk National University)
Publication Information
The Journal of Engineering Geology / v.29, no.3, 2019 , pp. 339-349 More about this Journal
Abstract
The relationship between the P wave velocity, static elastic modulus, and dynamic elastic modulus of different rock types was investigated to identify the distributive characteristics of the dynamic elastic modulus. Laboratory and in situ test results from 1,646 rock specimens, which are obtained for design and construction of structure, were analyzed, and grouped into three key rock types: gneiss, granite, and sandstone. These relationships were verified by comparing them with the results from previous studies. The gneiss samples exhibit a linear P wave velocity-static elastic modulus relationship, whereas the granite and sandstone samples exhibit exponential relationships. Their coefficient of determination ($R^2$) values are all in the 0.491-0.642 range, and are similar to those obtained in previous studies. The relationship between the static and dynamic elastic modulus exhibits a linear relationship for all rock types, yielding a coefficient of determination in the 0.543-0.676 range. The relationship between the P wave velocity and static elastic modulus follows an exponential regression for all rock types, with a high coefficient of determination that is in the 0.875-0.940 range.
Keywords
P wave velocity; static elastic modulus; dynamic elastic modulus; rock type;
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Times Cited By KSCI : 1  (Citation Analysis)
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1 Altindag, R., 2011, Correlation between P-wave velocity and some mechanical properties for sedimentary rocks, Journal of the Southern African Institute of Mining and Metallurgy, 112(3), 229-237.
2 Ameen, M.S., Smart, B.G.D., Someville, J.Mc., Hammilton, S., Naji, N.A., 2009, Predicting rock mechanical properties of carbonates from wireline logs (A case study: Arab-D reservoir, Ghawar field, Saudi Arabia), Marine and Petroleum Geology, 26(4), 430-444.   DOI
3 Brotons, V., Tomas, R., Ivorra, S., Grediaga, A., 2014, Relationship between static and dynamic elastic modulus of a calcarenite heated at different temperatures: the San Julián's stone, Bulletin of Engineering Geology and Environment, 73(3), 791-799.   DOI
4 Brotons, V., Tomas, R., Ivorra, S., Grediaga, A., Martinez, J., Benavente, D., Gomez, M., 2016, Improved correlation between the static dynamic elastic modulus of different types of rocks, Materials and Structures, 49(8), 3021-3037.   DOI
5 Chawre, B., 2018, Correlations between ultrasonic pulse wave velocities and rock propertiesof quartz-mica schist, Journal of Rock Mechanics and Geotechnical Engineering, 10(3), 594-602.   DOI
6 Cheng, C.H., Johnston, D.H., 1981, Dynamic and static moduli, Geophysical Research Letters, 8(1), 39-42.   DOI
7 Christaras, B., Auger, F., Mosse, E., 1994, Determination of the moduli of elasticity of rocks. Comparison of the ultrasonic velocity and mechanical resonance frequency methods with direct static methods, Materials and Structures, 27(4), 222-228.   DOI
8 Ciccotti, M., Mulargia, F., 2004, Differences between static and dynamic elastic moduli of a typical seismogenic rock, Geophysical Journal International, 157(1), 474-477.   DOI
9 Eissa, E.A., Kazi, A., 1988, Relation between static and dynamic young's moduli of rocks, International Journal of Rock Mechanics and Mining Sciences, 25(6), 479-482.   DOI
10 Fei, W., Huiyuan, B., Jun, Y., Yonghao, Z., 2016, Correlation of dynamic and static elastic parameters of rock, Electronic Journal of Geotechnical Engineering, 21(4), 1551-1560.
11 Khandelwal, M., Singh, T.N., 2009, Correlating static properties of coal measures rocks with P-wave velocity, International Journal of Coal Geology, 79(1), 55-60.   DOI
12 Lee, J.S., Moon, J.K., Choi, W.E., 2011, Analysis of correlation between velocity of elastic wave and mechanical properties of rocks, Journal of Korean Society for Rock Mechanics, 21(1), 50-65 (in Korean with English abstract).
13 King, M.S., 1983, Static and dynamic elastic properties of igneous and metamorphic rocks from the canadian shield, International Journal of Rock Mechanics and Mining Sciences, 20(5), 237-241.   DOI
14 Kumar, H., Mishra, S., Mishra, M.K., 2015, Experimental evaluation of geo-mechanical properties of coal using sonic wave velocity, International Conference on Advances in Agricultural, Biological & Environmental Sciences, London, 41-45.
15 Lee, B.K., Lee, S.G., Lim, B.M., 2008, A study on the characteristics of dynamic elastic modulus in granite, Journal of Korean Society for Rock Mechanics, 18(5), 386-392 (in Korean with English abstract).
16 Martinez-Martinez, J., Benavente, D., Garcia-del-Cura, M.A., 2012, Comparison of the static and dynamic elastic modulus in carbonate rocks, Bulletin of Engineering Geology and the Environment, 71(2), 263-268.   DOI
17 Malgorzata, S.V., 2015, Static and dynamic elastic properties, the cause of the difference and conversion methods - case study, Nafta-Gaz, 11, 816-826.
18 Najibi, A.R., Ghafoori, M., Lashkaripour, G.R., Asef, M.R., 2015, Empirical relations between strength and static and dynamic elastic properties of Asmari and Sarvak limestones, two main oil reservoirs in Iran, Journal of Petroleum Science and Engineering, 126(2), 78-82.   DOI
19 Min, J.H., Lee, S.J., Choi, S.O., 2011, Characteristics of dynamic properties of granite specimen from Chungnam Yeongi area, Journal of Korean Society for Rock Mechanics, 21(6), 480-493 (in Korean with English abstract).
20 Mockovciakova, A., Pandula, B., 2003, Study of the relation between the static and dynamic moduli of rocks, Metalurgija, 42(1), 37-39.
21 Soroush, H., Qutob, H., Weatherford Oil Tool ME Ltd., 2011, Evaluation of rock properties using ultrasonic pulse technique and correlating static to dynamic elastic constants, The 2nd South Asian Geoscience Conference and Exhibition, GEO India 2011, Noida, New Delhi, India, 1-12.
22 Ryu, K.H., Chang, C.D., 2006, Static and dynamic rock property determined from in-situ and laboratory measurements, KSEG Conference 2006, Daejeon, 347-356 (in Korean with English abstract).
23 Simmons, G., Brace, W.F., 1965, Comparison of static and dynamic measurements of compressibility of rocks, Journal of Geophysical Research, 70(22), 5649-5656.   DOI
24 Sone, H., Zoback, M.D., 2013, Mechanical properties of shale-gas reservoir rocks - Part 1: Static and dynamic elastic properties and anisotropy, Geophysics, 78(5), D381-D392.   DOI
25 Stan, I., Idziak, A., 2008, Anisotropy of lastic properties of rock mass induced by cracks, Acta Geodynamica et Geomaterialia, 5(2), 153-159.
26 Sukplum, W., Wannakao, L., Chanasuek, P., Sonlukjai, P., 2014, Static and dynamic elastic properties of the Phu Kradung sandstone at variation applied stress levels, 8th Asian Rock Mechanics Symposium (ARMS8), Sapporo, Japan, 1-9.
27 Yale, D.P., Jamieson, W.H., 1994, Static and dynamic rock mechanical properties in the Hugoton, Society of Petroleum Engineers, SPE 27939.
28 Verma, D., Kainthola, A., Singh, R., Singh, T.N., 2012, Assessment of geomechanical properties of some gondwana coal using p-wave velocity, International Research Journal of Geology and Mining, 2(9), 261-274.