Optimum Receiver Geometry for Moment Tensor Inversion of Microseismic Data

doi:10.12972/ksmer.2014.51.2.211

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2014 Vol.51, Issue 2 Preview Page Next Page

Research Paper

Optimum Receiver Geometry for Moment Tensor Inversion of Microseismic Data 미소진동 자료의 모멘트 텐서 역산을 위한 최적의 수신기 배열: 김명선·변중무·설순지
Myungsun Kim, Joongmoo Byun, Soonjee Seol

30 April 2014. pp. 211-219

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Abstract

We have developed a full-waveform moment tensor inversion module for microseismic data. To investigate the effect of the receiver geometry on the stability of the moment tensor inversion, we analyzed the condition number of GTG matrix. Although the surface monitoring with large receiver coverage has the lowest condition number, we still need to consider the attenuation in high frequency components due to the absorption and low S/N ratio because of long source-receiver distance in practice. In borehole monitoring, the condition number increases with increasing source-receiver distance. In the case of the deviated well, the stable computation of the inversion is possible even with the microseismic data from a single well. Moreover, the inversion is stable even with long source-receiver distance when using surface and borehole receivers together. However, the further research is needed because surface and borehole monitoring data may have different frequency contents each other.

Keywords

Moment tensor inversion

Hydraulic fracturing

Condition number

Microseismic

미소진동 자료의 전파형 모멘트 텐서 역산 모듈을 개발하고, 수신기 배열이 모멘트 텐서 역산에 미치는 영향을 분석하기 위하여 각각의 수신기 배열에 대한 데이터 커널행렬(GTG)의 조건수를 분석하였다. 넓은 수신기 전개범위를 갖는 지표관측의 경우 가장 낮은 조건수를 가졌으나 실제 탐사의 경우 송수신기 사이의 거리가 매우 멀기 때문에 흡수 감쇠로 인한 고주파수 성분의 약화와 낮은 신호대잡음비에 대한 고려가 필요하다. 시추공의 경우 원거리 영역으로 갈수록 조건수 값이 크게 증가 하였다. 경사 시추공의 경우 하나의 시추공을 사용할 경우도 낮은 조건수 값을 가지며 안정적인 역산이 가능하였다. 또한, 지표와 시추공을 동시에 이용할 경우 원거리 영역에서 안정적인 역산이 가능하였다. 하지만 지표와 시추공을 동시에 이용할 경우 두 자료의 주파수 성분이 다를 수 있기 때문에 이를 고려한 연구가 더 필요하다.

키워드

모멘트 텐서 역산

수압파쇄

조건수

미소진동

References

Aki, K. and Richards, P.G., 2002, Quantitative seismology, University Science Books.
Baig, A. and Urbancic, T.I., 2010, “Microseismic moment tensors: A path to understanding frac growth,” The Leading Edge, Vol. 29, pp. 320-324.
Cheney, W. and Kincaid, D., 2008, Numerical mathematics and computing, 6^thed., Brooks/Cole.
Eaton, D.W. and Forouhideh, F., 2011, “Solid angles and the impact of receiver-array geometry on microseismic moment-tensor inversion,” Geophysics, Vol. 76, pp. WC77- WC85.
Kim, M., Byun, J. and Seol, S., 2010, “Study on Microseismic Monitoring Method for Enhanced Oil Recovery (EOR),” J. of The Korean Society of Mineral and Energy Resources Engineers, Vol. 47, No. 6, pp. 871-879.
Maxwell, S.C. and Urbancic, T.I., 2001, “The role of passive microseismic monitoring in the instrumented oil filed,” The Leading Edge, Vol. 20, pp. 636-640.
Menke, W., 1989, Geophysical data analysis: Discrete inverse theory, Academic Press.
Nolen-Hoeksema, R.C. and Ruff, L.J., 2001, “Moment tensor inversion of microseism form the B-sand propped hydrofracture, M-site, Colorado,” Tectonophysics, Vol. 336, pp. 163-181.
Song, F. and Toksöz, M.N., 2011, “Full-waveform based complete moment tensor inversion and source parameter estimation from downhole microseismic data for hydrofracture monitoring,” Geophysics, Vol. 76, pp. WC103-WC116.
Vavryčuk, V., 2001, “Inversion for parameters of tensile earthquakes,” J. of Geophysical Research, Vol. 106, pp. 16339-16355.
Vavryčuk, V., 2007, “On the retrieval of moment tensors from borehole data,” Geophysical prospecting, Vol. 55, pp. 381-391.
Warpinski, N.R. and Du, J., 2010, “Source mechanism studies on microseismicity induced by hydraulic fracturing,” SPE paper, 135254.

Information

Publisher :The Korean Society of Mineral and Energy Resources Engineers
Publisher(Ko) :한국자원공학회
Journal Title :Journal of the Korean Society of Mineral and Energy Resources Engineers
Journal Title(Ko) :한국자원공학회지
Volume : 51
No :2
Pages :211-219
DOI :https://doi.org/10.12972/ksmer.2014.51.2.211

[1] Aki, K. and Richards, P.G., 2002, Quantitative seismology, University Science Books.

[2] Baig, A. and Urbancic, T.I., 2010, “Microseismic moment tensors: A path to understanding frac growth,” The Leading Edge, Vol. 29, pp. 320-324.

[3] Cheney, W. and Kincaid, D., 2008, Numerical mathematics and computing, 6^thed., Brooks/Cole.

[4] Eaton, D.W. and Forouhideh, F., 2011, “Solid angles and the impact of receiver-array geometry on microseismic moment-tensor inversion,” Geophysics, Vol. 76, pp. WC77- WC85.

[5] Kim, M., Byun, J. and Seol, S., 2010, “Study on Microseismic Monitoring Method for Enhanced Oil Recovery (EOR),” J. of The Korean Society of Mineral and Energy Resources Engineers, Vol. 47, No. 6, pp. 871-879.

[6] Maxwell, S.C. and Urbancic, T.I., 2001, “The role of passive microseismic monitoring in the instrumented oil filed,” The Leading Edge, Vol. 20, pp. 636-640.

[7] Menke, W., 1989, Geophysical data analysis: Discrete inverse theory, Academic Press.

[8] Nolen-Hoeksema, R.C. and Ruff, L.J., 2001, “Moment tensor inversion of microseism form the B-sand propped hydrofracture, M-site, Colorado,” Tectonophysics, Vol. 336, pp. 163-181.

[9] Song, F. and Toksöz, M.N., 2011, “Full-waveform based complete moment tensor inversion and source parameter estimation from downhole microseismic data for hydrofracture monitoring,” Geophysics, Vol. 76, pp. WC103-WC116.

[10] Vavryčuk, V., 2001, “Inversion for parameters of tensile earthquakes,” J. of Geophysical Research, Vol. 106, pp. 16339-16355.

[11] Vavryčuk, V., 2007, “On the retrieval of moment tensors from borehole data,” Geophysical prospecting, Vol. 55, pp. 381-391.

[12] Warpinski, N.R. and Du, J., 2010, “Source mechanism studies on microseismicity induced by hydraulic fracturing,” SPE paper, 135254.

Journal of the Korean Society of Mineral and Energy Resources Engineers ISSN:2288-0291(Print) 2288-2790(Online) 한국자원공학회지

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