Науковий вісник НГУ

Study of the imperfectly elastic rock deformation behavior

• 
• 

User Rating:  / 0

PoorBest 

Details

Category: Geotechnical and mining mechanical engineering, machine building

Last Updated on 14 January 2015

Published on 14 January 2015

Hits: 5011

Authors:

V.А. Mashchenko, Cand. Sci. (Phys.-Math.), Associate Professor, Rivne State Humanitarian University, Senior Lecturer of the Physics Department, Rivne, Ukraine

I.O. Sadovenko, Dr. Sci. (Tech.), Professor, State Higher Educational Institution “National Mining University”, Head of the Department of Hydrogeology and Engeneering Geology, Dnipropetrovsk, Ukraine

Abstract:

Purpose. To analyze the influence of structural and morphological, and elastic characteristics of defects on the features of the structure and deformation of some sandstones based on the modeling approach and interpretation of experimental data of velocity of longitudinal and transverse acoustic waves.

Methodology. We have involved a series of experimental studies of density, porosity, and determination of the velocity of propagation of longitudinal and transverse acoustic waves in samples of sandstone with different structural organization.

Findings. The elastic parameters of defects of solid structure were calculated based on the velocities of propagation of acoustic waves for sandstones with different effective Poisson’s ratio. The normal and tangential compliances with the effective Poisson’s ratio of sandstone were comparatively analyzed. Poisson’s ratio of the medium matrix was calculated based on the variations of the velocities of propagation of acoustic waves under the influence of external pressure.

Originality. The deformation behavior of sandstones was considered on the basis of the model of microinhomogeneous medium as an elastic matrix and planar defects inclusions. Theoretical estimates of the parameters of defects, based on the elastic constants of linear elasticity theory, indicate the adequacy of the model to describe the strain state of imperfectly elastic rock. The possibility of the existence of negative Poisson’s ratio in sandstones with high normal compressibility and the contribution of the contact interactions were theoretically justified.

Practical value. Theoretical estimates of the parameters of defects, based on the elastic constants of linear elasticity theory, indicate the adequacy of the model to describe the strain state of imperfectly elastic rock. There were obtained the relations for evaluation of normal and tangential compliance on the basis of effective elastic moduli microinhomogeneous medium, elastic moduli and the Poisson’s ratio of the matrix medium. It is shown that the concentrations of defects in their compliance and effective Poisson’s ratio have an inverse relationship, which determines the strain-elastic properties of the medium of propagation of acoustic waves.

References:

1.Г ольдин С.В. Распространение акустических волн в грунтах в условиях изменяющегося сдвигового напряжения (вплоть до разрушения образцов)/ С.В. Гольдин, Ю.И. Колесников, С.В. Полозов // Физическая мезомеханика. – 1999. – Т. 2. – № 6.– С. 105–113.

Goldin, S.V., Kolesnikov, Yu.I. and Polozov, S.V. (1999),“Acoustic wave propagation in soils at varying shear stress (up to failure of specimens)”, Physical Mesomechanics Journal,Vol. 2, no. 6, pp. 105–113.

2. Извеков О.Я. Модель пористой среды с упругим трещиноватым скелетом / О.Я Извеков, В.И. Кондауров // Физика земли. – 2009. – Т. 45.– № 4. – С. 31–42.

Izvekov, O.Ya. and Kondaurov, V.I. (2009), “Model of aporous medium with an elastic fractured skeleton”, Izvestiya, Fizika Zemli, Vol. 45, no. 4, pp. 31–42.

3. Капустянский С.М. Негололомная модель деформирования высокопористого песчаника при его внутреннем дроблении / С.М. Капустянский, В.Н. Николаевский, А.Г. Жиленков // Физика земли.– 2010. –Т. 46. – № 12. – С. 82–92.

Kapustyanskii, S.M., Nikolaevskii, V.N. and Zhilenkov, A.G. (2010),“Nonholonomic model of deformation of highly porous sandstone under its internal crushing”, Izvestiya, Fizika Zemli, Vol. 46, no. 12, pp. 1095–1104.

4. Никитин А.Н. Особенности распространения продольных и поперечных упругих волн в текстурированных горных породах / А.Н. Никитин, Т.И. Иванкина, В.К. Игнатович // Физика земли.– 2009. – Т. 45. – № 5. – С. 57–69.

Nikitin, A.N., Ivankina, T.I. and Ignatovich, V.K. (2009), “The Wave Field Patterns of the Propagation of Longitudinal and Transverse Elastic Waves in Grain-Oriented Rocks”, Izvestiya, Fizika Zemli, Vol. 45, no. 5, pp. 424–436.

5. Вахненко В.О. Моделювання гістерезисного поводження пісковику в умовах повільного циклічного навантаження / В.О. Вахненко // Геофизичний журнал – 2011. –Т. 33. – № 4.– С. 153–158.

Vakhnenko,V.O. (2011), “Simulation of hysteresis sandstone behavior in case of slow cyclic loading”, Geofizicheskiy Zhurnal, Vol. 33, no.4, pp. 153–158.

6. Zaitsev, V. And Sas, P. (2000), “Elastic moduli and dissipative properties of microinhomogeneous solids with isotropically oriented defects”, Acustica-Acta Acustica,Vol. 86, no. 2, pp. 216–228.

7. Експериментальна установка для вимірювання пружних параметрів гірських порід / В.А. Мащенко, О.О. Панчук, І.О. Садовенко, М.А. Бордюк // Вісник інженерної академії України. – 2012. – Вип. 3–4. – С. 60–64.

Mashchenko, V.A., Panchuk, O.O., Sadovenko, I.O. and Borduk, M.A. (2012), “Experimental device for measuring the elastic parameters of rocks”, Bulletin of Engineering Academy of Ukraine, Iss. 3–4, pp. 60–64.

8. Mavko, G. (1994), “The relation between seismic P- and S- velocity dispersion in saturated rocks”,Geophysics, Vol. 59, no.1, pp.87–92.

9. Назаров В.Е. О коэффициенте Пуассона трещиноватых сред / В.Е. Назаров, А.М. Сутин // Акустический журнал. – 1995. – Т.41. – № 6.– С. 932–934.

Nazapov, V.E. and Sutin, A.M. (1995), “Poisson’s ratio of cracked media”, Akusticheskiy Zhurnal, Vol. 41, no. 6,pp. 932–934.

10. Материалы с отрицательным коэффициентом Пуассона (обзор) /Д.А. Конёк, К.В. Войцеховски, Ю.М. Плескачевский, С.В. Шилько // Механика композитных материалов и конструкций. – 2004. –Т. 10. – № 1.– С. 35–69.

Koniok,D.A., Voitsekhovsky, K.V., Pleskachevsky, Yu.M. and Shilko, S.V. (2004),“Materials with negative Poisson’s ratio. (The review)”, Mekhanika kompozitnykh materialov i konstruktsyy, Vol. 10, no. 1, pp. 35–69.

11. Анализ структуры угольного пласта методом акустической геолокации / А.Н. Шашенко,В.Н. Журавлев, Е.В. Масленников М.С. Дубицкая / Науковий вісник НГУ. – 2013. – № 3. – С. 65–71.

Shashenko, A.N., Zhuravlev, V.N., Maslennikov, Ye.V., Dubitskaya, M.S.(2013), “Analysis of coal bend structure by the method of acoustic geolocation”, Naukovyi Visnyk Natsionalnogo Hirnychoho Universytetu, no. 3, pp. 65–71..

2014_6_mashchenko
2015-01-13  141.6 KB  923

• < Prev
• Next >