References

Aravkin, A. Y., T. van Leeuwen, H. Calandra, and F. J. Herrmann, 2012, Source estimation for frequency-domain FWI with robust penalties: 74th Annual EAGE Meeting, EAGE, Expanded Abstracts, P018.

Artman, B., I. Podladtchikov, and B. Witten, 2010, Source location using time-reverse imaging: Geophysical Prospecting, 58, 861–873; doi: 10.1111/j.1365-2478.2010.00911.x.

Behura, J., 2015, Expedited fwi of microseismic data for mapping velocity changes and hypocenters: 85th Annual International Meeting, SEG, Expanded Abstracts, 2461–2466.

Fink, M., 2006, Time-reversal acoustics in complex environments: Geophysics, 71, SI151–SI164.

Gajewski, D., and E. Tessmer, 2005, Reverse modelling for seismic event characterization: Geophysical Journal International, 163, 276–284; doi: 10.1111/j.1365-246X.2005.02732.x.

Golub, G. H., and V. Pereyra, 1973, The differentiation of pseudo-inverses and nonlinear least squares problems whose variables separate: SIAM Journal on Numerical Analysis, 10, 413–432; doi: 10.1137/0710036.

Kamei, R., and D. Lumley, 2014, Passive seismic imaging and velocity inversion using full wavefield methods: 84th Annual International Meeting, SEG, Expanded Abstracts, 2273–2277.

Kim, Y., Q. Liu, and J. Tromp, 2011, Adjoint centroid-moment tensor inversions: Geophysical Journal International, 186, 264–278; doi: 10.1111/j.1365-246X.2011.05027.x.

Maxwell, S., 2014, Microseismic imaging of hydraulic fracturing: Improved engineering of unconventional shale reservoirs: SEG.

McMechan, G. A., 1982, Determination of source parameters by wavefield extrapolation: Geophysical Journal of the Royal Astronomical Society, 71, 613–628; doi: 10.1111/j.1365-246X.1982.tb02788.x.

Montgomery, C. T., and M. B. Smith, 2010, Hydraulic fracturing: A history of an enduring technology: Journal of Petroleum Technology, 62, 26–32.

Nakata, N., and G. C. Beroza, 2016, Reverse time migration for microseismic sources using the geometric mean as an imaging condition: Geophysics, 81, KS51–KS60; doi: 10.1190/geo2015-0278.1.

Plessix, R.-E., 2006, A review of the adjoint-state method for computing the gradient of a functional with geophysical applications: Geophysical Journal International, 167, 495–503; doi: 10.1111/j.1365-246X.2006.02978.x.

——–, 2009, Three-dimensional frequency-domain full-waveform inversion with an iterative solver: GEOPHYSICS, 74, WCC149–WCC157; doi: 10.1190/1.3211198.

Rickett, J., 2013, The variable projection method for waveform inversion with an unknown source function: Geophysical Prospecting, 61, 874–881; doi: 10.1111/1365-2478.12008.

Shewchuk, J. R., 1994, An introduction to the conjugate gradient method without the agonizing pain.

Sun, J., T. Zhu, S. Fomel, and W. Song, 2015, Investigating the possibility of locating microseismic sources using distributed sensor networks: 85th Annual International Meeting, SEG, Expanded Abstracts, 2485–2490.

Tromp, J., C. Tape, and Q. Liu, 2005, Seismic tomography, adjoint methods, time reversal and banana-doughnut kernels: Geophysical Journal International, 160, 195–216; doi: 10.1111/j.1365-246X.2004.02453.x.

Virieux, J., and S. Operto, 2009, An overview of full-waveform inversion in exploration geophysics: Geophysics, 74, WCC1–WCC26; doi: 10.1190/1.3238367.

Warner, M., A. Ratcliffe, T. Nangoo, J. Morgan, A. Umpleby, N. Shah, V. Vinje, I. Štekl, L. Guasch, C. Win, G. Conroy, and A. Bertrand, 2013, Anisotropic 3d full-waveform inversion: GEOPHYSICS, 78, R59–R80; doi: 10.1190/geo2012-0338.1.

Witten, B., and B. Artman, 2011, Signal-to-noise estimates of time-reverse images: Geophysics, 76, MA1–MA10; doi: 10.1190/1.3543570.

Zhu, H., E. B. Ebru, and J. Tromp, 2015, Seismic structure of the European upper mantle based on adjoint tomography: Geophysical Journal International, 201, 18–52; doi: 10.1093/gji/ggu492.

Zhu, T., 2014, Time-reverse modelling of acoustic wave propagation in attenuating media: Geophysical Journal International, 197, 483–494.