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.
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
30 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
- Propagation of 2-D SH waves in random media: Insights from ab initio numerical simulations and transport theory M. Celorio et al.
- Seismic evidence for a highly heterogeneous martian mantle C. Charalambous et al.
- Trans-dimensional imaging of the random inhomogeneity structure in the southern Ryukyu arc, Japan T. Takahashi et al.
- A hybrid implicit-explicit discontinuous Galerkin spectral element time domain (DG-SETD) method for computational elastodynamics Q. Liu et al.
- Separation of source, attenuation and site parameters of 2 moderate earthquakes in France: an elastic radiative transfer approach G. Heller et al.
- Simulation of multiple scattering of seismic waves: energy, displacement and its gradients M. Bracale et al.
- Experimental study on comprehensive detection technology of shallow gas in deep soft soil layer M. Liu & F. Sun
- Stable Distribution of Fractional Fluctuations of Well Log Data in Japan H. Sato & K. Shiomi
- 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.
- Differences in Scattering Properties of the Shallow Crusts of Earth, Mars, and the Moon Revealed by P‐Wave Receiver Functions J. Shi et al.
- Spatiotemporal Characteristics of Parallel Stacked Structure Signals in VLF Electric Field Observations from CSES-01 Satellite B. Hao et al.
- Observational evidence of non-extensive behavior of seismic coda waves K. Ioannis & V. Filippos
- The impact of ambient noise sources in subsurface models estimated from noise correlation waveforms E. Valero Cano et al.
- Isotropic scattering coefficient of the solid earth H. Sato
- 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
- Scattering strength at active volcanoes in Japan as inferred from the peak ratio analysis of teleseismic P waves G. Ganefianto et al.
- Effects of 2-D random velocity perturbations on 2-DSHshort-period ground motion simulations in the basin of Nice, France F. Tchawe et al.
- Random media criticality analysis using randomized Fourier series and incomplete randomized Weierstrass function T. Ueki
- Towards structural imaging using seismic ambient field correlation artefacts L. Retailleau & G. Beroza
- Amplitude Source Location Method With Depth‐Dependent Scattering and Attenuation Structures: Application at Nevado del Ruiz Volcano, Colombia H. Kumagai et al.
- SH Wavelet Propagation Through the Random Distribution of Aligned Line Cracks Based on the Radiative Transfer Theory H. Sato
- Fracture Network Mathematics D. Brox
- Characterizing Seismic Scattering in 3D Heterogeneous Earth by a Single Parameter J. Vyas et al.
- Estimation of the Hurst exponents of irregularly sampled subsurface fault geometries by the lifting scheme T. Takahashi et al.
- Stochastic Inversion of Gaussian Random Media Using Transverse Coherence Functions for Reflected Waves: Theory and Method H. Hu & Y. Zheng
- Small-scale scattering heterogeneities beneath the northern Tien Shan from the teleseismic P wavefield X. Ma & Z. Huang
- Energy Envelope and Attenuation Characteristics of High-Frequency (HF) and Very-High-Frequency (VF) Martian Events S. Menina et al.
- Seismic analysis of gravity dam-foundation systems using stochastic spectral finite element method Q. Zeng et al.
- Strain energy released by earthquake faulting with random slip components T. Saito & A. Noda
30 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
- Propagation of 2-D SH waves in random media: Insights from ab initio numerical simulations and transport theory M. Celorio et al.
- Seismic evidence for a highly heterogeneous martian mantle C. Charalambous et al.
- Trans-dimensional imaging of the random inhomogeneity structure in the southern Ryukyu arc, Japan T. Takahashi et al.
- A hybrid implicit-explicit discontinuous Galerkin spectral element time domain (DG-SETD) method for computational elastodynamics Q. Liu et al.
- Separation of source, attenuation and site parameters of 2 moderate earthquakes in France: an elastic radiative transfer approach G. Heller et al.
- Simulation of multiple scattering of seismic waves: energy, displacement and its gradients M. Bracale et al.
- Experimental study on comprehensive detection technology of shallow gas in deep soft soil layer M. Liu & F. Sun
- Stable Distribution of Fractional Fluctuations of Well Log Data in Japan H. Sato & K. Shiomi
- 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.
- Differences in Scattering Properties of the Shallow Crusts of Earth, Mars, and the Moon Revealed by P‐Wave Receiver Functions J. Shi et al.
- Spatiotemporal Characteristics of Parallel Stacked Structure Signals in VLF Electric Field Observations from CSES-01 Satellite B. Hao et al.
- Observational evidence of non-extensive behavior of seismic coda waves K. Ioannis & V. Filippos
- The impact of ambient noise sources in subsurface models estimated from noise correlation waveforms E. Valero Cano et al.
- Isotropic scattering coefficient of the solid earth H. Sato
- 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
- Scattering strength at active volcanoes in Japan as inferred from the peak ratio analysis of teleseismic P waves G. Ganefianto et al.
- Effects of 2-D random velocity perturbations on 2-DSHshort-period ground motion simulations in the basin of Nice, France F. Tchawe et al.
- Random media criticality analysis using randomized Fourier series and incomplete randomized Weierstrass function T. Ueki
- Towards structural imaging using seismic ambient field correlation artefacts L. Retailleau & G. Beroza
- Amplitude Source Location Method With Depth‐Dependent Scattering and Attenuation Structures: Application at Nevado del Ruiz Volcano, Colombia H. Kumagai et al.
- SH Wavelet Propagation Through the Random Distribution of Aligned Line Cracks Based on the Radiative Transfer Theory H. Sato
- Fracture Network Mathematics D. Brox
- Characterizing Seismic Scattering in 3D Heterogeneous Earth by a Single Parameter J. Vyas et al.
- Estimation of the Hurst exponents of irregularly sampled subsurface fault geometries by the lifting scheme T. Takahashi et al.
- Stochastic Inversion of Gaussian Random Media Using Transverse Coherence Functions for Reflected Waves: Theory and Method H. Hu & Y. Zheng
- Small-scale scattering heterogeneities beneath the northern Tien Shan from the teleseismic P wavefield X. Ma & Z. Huang
- Energy Envelope and Attenuation Characteristics of High-Frequency (HF) and Very-High-Frequency (VF) Martian Events S. Menina et al.
- Seismic analysis of gravity dam-foundation systems using stochastic spectral finite element method Q. Zeng et al.
- Strain energy released by earthquake faulting with random slip components T. Saito & A. Noda
Saved (final revised paper)
Latest update: 24 May 2026
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...