Articles | Volume 10, issue 1
https://doi.org/10.5194/se-10-275-2019
© Author(s) 2019. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/se-10-275-2019
© Author(s) 2019. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Review article
| Highlight paper
| 
05 Feb 2019
Review article | Highlight paper |
| 05 Feb 2019
| 05 Feb 2019
Power spectra of random heterogeneities in the solid earth
Haruo Sato
CORRESPONDING AUTHOR
Geophysics, Science, Tohoku University, Aoba-ku, Sendai-shi, Miyagi-ken, 980-8578, Japan
Invited contribution by Haruo Sato, recipient of the EGU Beno Gutenberg Medal 2018.
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Cited
25 citations as recorded by crossref.
- The relative contributions of scattering and viscoelasticity to the attenuation of S waves in Earth's mantle S. deSilva & V. Cormier 10.5194/se-11-161-2020
- Propagation of 2-D SH waves in random media: Insights from ab initio numerical simulations and transport theory M. Celorio et al. 10.3389/feart.2022.1033109
- Trans-dimensional imaging of the random inhomogeneity structure in the southern Ryukyu arc, Japan T. Takahashi et al. 10.1093/gji/ggab518
- A hybrid implicit-explicit discontinuous Galerkin spectral element time domain (DG-SETD) method for computational elastodynamics Q. Liu et al. 10.1093/gji/ggad168
- Separation of source, attenuation and site parameters of 2 moderate earthquakes in France: an elastic radiative transfer approach G. Heller et al. 10.1093/gji/ggae176
- Experimental study on comprehensive detection technology of shallow gas in deep soft soil layer M. Liu & F. Sun 10.1016/j.heliyon.2024.e35544
- Stable Distribution of Fractional Fluctuations of Well Log Data in Japan H. Sato & K. Shiomi 10.1007/s00024-024-03600-2
- Stratification of Heterogeneity in the Lithosphere of Mars From Envelope Modeling of Event S1222a and Near Impacts: Interpretation and Implications for Very‐High‐Frequency Events S. Menina et al. 10.1029/2023GL103202
- Differences in Scattering Properties of the Shallow Crusts of Earth, Mars, and the Moon Revealed by P‐Wave Receiver Functions J. Shi et al. 10.1029/2022JE007676
- Observational evidence of non-extensive behavior of seismic coda waves K. Ioannis & V. Filippos 10.1016/j.physa.2020.124523
- The impact of ambient noise sources in subsurface models estimated from noise correlation waveforms E. Valero Cano et al. 10.1093/gji/ggae259
- Isotropic scattering coefficient of the solid earth H. Sato 10.1093/gji/ggz266
- Propagation of a vector wavelet through von Kármán-type random elastic media: Monte Carlo simulation by using the spectrum division method H. Sato & K. Emoto 10.1093/gji/ggad169
- Scattering strength at active volcanoes in Japan as inferred from the peak ratio analysis of teleseismic P waves G. Ganefianto et al. 10.1186/s40623-021-01541-x
- Effects of 2-D random velocity perturbations on 2-DSHshort-period ground motion simulations in the basin of Nice, France F. Tchawe et al. 10.1093/gji/ggab141
- Towards structural imaging using seismic ambient field correlation artefacts L. Retailleau & G. Beroza 10.1093/gji/ggab038
- Amplitude Source Location Method With Depth‐Dependent Scattering and Attenuation Structures: Application at Nevado del Ruiz Volcano, Colombia H. Kumagai et al. 10.1029/2019JB018156
- SH Wavelet Propagation Through the Random Distribution of Aligned Line Cracks Based on the Radiative Transfer Theory H. Sato 10.1007/s00024-021-02680-8
- Characterizing Seismic Scattering in 3D Heterogeneous Earth by a Single Parameter J. Vyas et al. 10.1785/0120200153
- Estimation of the Hurst exponents of irregularly sampled subsurface fault geometries by the lifting scheme T. Takahashi et al. 10.1093/gji/ggad275
- Stochastic Inversion of Gaussian Random Media Using Transverse Coherence Functions for Reflected Waves: Theory and Method H. Hu & Y. Zheng 10.1029/2020JB020385
- Small-scale scattering heterogeneities beneath the northern Tien Shan from the teleseismic P wavefield X. Ma & Z. Huang 10.1186/s40623-020-1136-1
- Energy Envelope and Attenuation Characteristics of High-Frequency (HF) and Very-High-Frequency (VF) Martian Events S. Menina et al. 10.1785/0120210127
- Seismic analysis of gravity dam-foundation systems using stochastic spectral finite element method Q. Zeng et al. 10.1016/j.soildyn.2024.108723
- Strain energy released by earthquake faulting with random slip components T. Saito & A. Noda 10.1093/gji/ggz561
25 citations as recorded by crossref.
- The relative contributions of scattering and viscoelasticity to the attenuation of S waves in Earth's mantle S. deSilva & V. Cormier 10.5194/se-11-161-2020
- Propagation of 2-D SH waves in random media: Insights from ab initio numerical simulations and transport theory M. Celorio et al. 10.3389/feart.2022.1033109
- Trans-dimensional imaging of the random inhomogeneity structure in the southern Ryukyu arc, Japan T. Takahashi et al. 10.1093/gji/ggab518
- A hybrid implicit-explicit discontinuous Galerkin spectral element time domain (DG-SETD) method for computational elastodynamics Q. Liu et al. 10.1093/gji/ggad168
- Separation of source, attenuation and site parameters of 2 moderate earthquakes in France: an elastic radiative transfer approach G. Heller et al. 10.1093/gji/ggae176
- Experimental study on comprehensive detection technology of shallow gas in deep soft soil layer M. Liu & F. Sun 10.1016/j.heliyon.2024.e35544
- Stable Distribution of Fractional Fluctuations of Well Log Data in Japan H. Sato & K. Shiomi 10.1007/s00024-024-03600-2
- Stratification of Heterogeneity in the Lithosphere of Mars From Envelope Modeling of Event S1222a and Near Impacts: Interpretation and Implications for Very‐High‐Frequency Events S. Menina et al. 10.1029/2023GL103202
- Differences in Scattering Properties of the Shallow Crusts of Earth, Mars, and the Moon Revealed by P‐Wave Receiver Functions J. Shi et al. 10.1029/2022JE007676
- Observational evidence of non-extensive behavior of seismic coda waves K. Ioannis & V. Filippos 10.1016/j.physa.2020.124523
- The impact of ambient noise sources in subsurface models estimated from noise correlation waveforms E. Valero Cano et al. 10.1093/gji/ggae259
- Isotropic scattering coefficient of the solid earth H. Sato 10.1093/gji/ggz266
- Propagation of a vector wavelet through von Kármán-type random elastic media: Monte Carlo simulation by using the spectrum division method H. Sato & K. Emoto 10.1093/gji/ggad169
- Scattering strength at active volcanoes in Japan as inferred from the peak ratio analysis of teleseismic P waves G. Ganefianto et al. 10.1186/s40623-021-01541-x
- Effects of 2-D random velocity perturbations on 2-DSHshort-period ground motion simulations in the basin of Nice, France F. Tchawe et al. 10.1093/gji/ggab141
- Towards structural imaging using seismic ambient field correlation artefacts L. Retailleau & G. Beroza 10.1093/gji/ggab038
- Amplitude Source Location Method With Depth‐Dependent Scattering and Attenuation Structures: Application at Nevado del Ruiz Volcano, Colombia H. Kumagai et al. 10.1029/2019JB018156
- SH Wavelet Propagation Through the Random Distribution of Aligned Line Cracks Based on the Radiative Transfer Theory H. Sato 10.1007/s00024-021-02680-8
- Characterizing Seismic Scattering in 3D Heterogeneous Earth by a Single Parameter J. Vyas et al. 10.1785/0120200153
- Estimation of the Hurst exponents of irregularly sampled subsurface fault geometries by the lifting scheme T. Takahashi et al. 10.1093/gji/ggad275
- Stochastic Inversion of Gaussian Random Media Using Transverse Coherence Functions for Reflected Waves: Theory and Method H. Hu & Y. Zheng 10.1029/2020JB020385
- Small-scale scattering heterogeneities beneath the northern Tien Shan from the teleseismic P wavefield X. Ma & Z. Huang 10.1186/s40623-020-1136-1
- Energy Envelope and Attenuation Characteristics of High-Frequency (HF) and Very-High-Frequency (VF) Martian Events S. Menina et al. 10.1785/0120210127
- Seismic analysis of gravity dam-foundation systems using stochastic spectral finite element method Q. Zeng et al. 10.1016/j.soildyn.2024.108723
- Strain energy released by earthquake faulting with random slip components T. Saito & A. Noda 10.1093/gji/ggz561
Discussed (final revised paper)
Discussed (preprint)
Latest update: 13 Jul 2025
Short summary
Recent seismological observations clarified that the velocity structure of the crust and upper mantle is randomly heterogeneous. I compile reported power spectral density functions of random velocity fluctuations based on various types of measurements. Their spectral envelope is approximated by the third power of wavenumber. It is interesting to study what kinds of geophysical processes created such a power-law spectral envelope at different scales and in different geological environments.
Recent seismological observations clarified that the velocity structure of the crust and upper...
