Abstract
The directionality of electromagnetic radiation from tensile fracturing is calculated within our previously proposed model and shown to agree with experimental observations in the field. The best locations and orientations of measuring antennas are presented.
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Balasco M, Lapenna V, Romano G et al (2015) The Pollino 2011–2012 seismic swarm (southern Italy): first results of the M-L=3.6 aftershock recorded by co-located electromagnetic and seismic stations. Boll Geofis Teor Appl 56(2):203–210
Frid V, Rabinovitch A, Bahat D (2003) Fracture induced electromagnetic radiation. J Phys D Appl Phys 36:1620–1628
Greiling RO, Obermeyer HJ (2010) Natural electromagnetic radiation (EMR) and its application in structural geology and neotectonics. J Geol Soc India 75:278–288
Johnson AM, Fleming RW, Cruikshank K (1994) Shear zones formed along long, straight traces of fault zones during the 28 June 1992 Landers California, earthquake. Bull Seismol Soc Am 84:499–510
King RWP (1958) Handbuch der physik, vol XVI. Springer, Goetingen
King CY (1983) Electromagnetic emission before earthquake. Nature 301:377
Krumbholz M, Bock M, Burchart S, Kelka U, Volbrecht A (2012) A critical discussion of the electromagnetic radiation (EMR) method to determine stress orientations within the crust. Solid Earth 3:401–414
Leeman JR, Scuderi MM, Marone C et al (2014) On the origin and evolution of electrical signals during frictional stick slip in sheared granular material. J Geophys Res-Solid Earth 119(5):4253–4268
Lichtenberger MJ (2005) Regional stress field as determined from electromagnetic radiation in a tunnel. J Struct Geol 27:2150–2158
Lichtenberger MJ (2006) Underground measurements of electromagnetic radiation related to stress-induced fractures in the Odenwald Mountains (Germany). Pure Appl Geophys 163:1661–1677
Lorrain P, Corson DR (1970) Electromagnetic fields and waves, 2nd edn. W.H. Freeman and Co., San Francisco
Mogi K (1985) Earthquake prediction. Academic Press, Tokyo 382pp
Rabinovitch A, Frid V, Bahat D (2007) Surface oscillations—a possible source of fracture induced electromagnetic radiation. Tectonophysics 431:15–21
Song DZ, Wang EY, Song XY, Jin PJ, Oiu LM (2016) Changes in frequency of electromagnetic radiation from Loaded coal Rock. Rock Mech Rock Eng 49:291–302
Wang W, Shan JX, Ni ZS, Kai JT (2015) Relationship between earthquake di-latency and electric precursor phenomena. Nat Hazards 79:249–262
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Appendix
Appendix
Let t be the time since the beginning of the crack and assume the crack propagates at a constant velocity, v. Consider the crack at time t when its length is \(x=vt\). The contribution to the dipole moment, p at this time from a strip of length \(d{x}^{\prime }\) and width b located at \({x}^{\prime }\) and having a dipole moment of a constant density \(\uprho \) (Fig. 4) is:
The factor of 2 comes from the two crack sides; \(\mu \) is the decaying constant (in S\(^{-1}\)) and the time elapsed between its creation and the “present” is \(\left( {x-{x}^{\prime }} \right) / v\) . The total oscillating dipole moment as seen from a distant location is the integral on \({x}^{\prime }\) of dpfrom \({x}^{\prime }=0\) to x:
Yielding
Or
where
And \(\varphi =arctg\left( {\mu /w} \right) \).
At distances where r \(\gg \lambda \) the only contributions to the radiation comes from\(\ddot{p}\), the second time derivative of the total dipole moment. Thus B is of no consequence and the oscillation is only modified by a change of amplitude and a constant phase addition.
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Rabinovitch, A., Frid, V. & Bahat, D. Directionality of electromagnetic radiation from fractures. Int J Fract 204, 239–244 (2017). https://doi.org/10.1007/s10704-016-0178-7
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DOI: https://doi.org/10.1007/s10704-016-0178-7