The inversion of spectral ratio H/V in a layered system using the diffuse field assumption (DFA)

Piña‐Flores, José; Perton, M.; García‐Jerez, Antonio; Carmona, Enrique; Luzón, Francisco; Molina‐Villegas, Juan Camilo; Sánchez‐Sesma, Francisco J.

doi:10.1093/gji/ggw416

Cited by 91 publications

(61 citation statements)

References 54 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…We use in this work the simulated annealing method but a similar optimization technique is valid as well. García-Jerez et al (2016) and Piña-Flores et al (2016) present a detailed and thoughtful analysis of the used inversion scheme and its implementation within a general software package.…”

Section: Joint Inversion Of H/v and Dispersion Curvesmentioning

confidence: 99%

“…The Cauchy's residue theory leads to a fast computation and allows separation of the various wave components. Thus, the inversion of H/V to obtain the soil profile with only one station is possible with the DFA (see García-Jerez et al 2016 andPiña-Flores et al 2016). To mitigate non-uniqueness, joint inversion with dispersion curves gives good results.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Modeling and inversion of the microtremor H/V spectral ratio: physical basis behind the diffuse field approach

Sánchez‐Sesma

2017

Earth Planets Space

Self Cite

View full text Add to dashboard Cite

Microtremor H/V spectral ratio (MHVSR) has gained popularity to assess the dominant frequency of soil sites. It requires measurement of ground motion due to seismic ambient noise at a site and a relatively simple processing. Theory asserts that the ensemble average of the autocorrelation of motion components belonging to a diffuse field at a given receiver gives the directional energy densities (DEDs) which are proportional to the imaginary parts of the Green's function components when both source and receiver are the same point and the directions of force and response coincide. Therefore, the MHVSR can be modeled as the square root of 2 × ImG 11 /ImG 33 , where ImG 11 and ImG 33 are the imaginary parts of Green's functions at the load point for the horizontal (sub-index 1) and vertical (subindex 3) components, respectively. This connection has physical implications that emerge from the duality DED force and allows understanding the behavior of the MHVSR. For a given model, the imaginary parts of the Green's functions are integrals along a radial wavenumber. To deal with these integrals, we have used either the popular discrete wavenumber method or the Cauchy's residue theorem at the poles that account for surface waves normal modes giving the contributions due to Rayleigh and Love waves. For the retrieval of the velocity structure, one can minimize the weighted differences between observations and calculated values using the strategy of an inversion scheme. In this research, we used simulated annealing but other optimization techniques can be used as well. This last approach allows computing separately the contributions of different wave types. An example is presented for the mouth of Andarax River at Almería, Spain.

show abstract

Section: Joint Inversion Of H/v and Dispersion Curvesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Modeling and inversion of the microtremor H/V spectral ratio: physical basis behind the diffuse field approach

Sánchez‐Sesma

2017

Earth Planets Space

Self Cite

View full text Add to dashboard Cite

show abstract

“…It is a good practice to implement the joint inversion of both H/V and dispersive curve, such as Parolai et al (2005), Picozzi et al (2005), Arai and Tokimatsu (2005), and Piña-Flores et al (2017). An alternative method to uniquely identify the underground velocity structures by the inversion of H/V only is to make use of a priori knowledge.…”

Section: Identification Of Underground Velocity Structures From Sw H/vmentioning

confidence: 99%

“…An alternative method to uniquely identify the underground velocity structures by the inversion of H/V only is to make use of a priori knowledge. In this study, we refer to the PS logging data to be the initial underground velocity structures rather than those generated by genetic algorithm (Piña-Flores et al 2017). It…”

Section: Identification Of Underground Velocity Structures From Sw H/vmentioning

confidence: 99%

“…García-Jerez et al (2013) evaluated the imaginary parts of the Green's functions, accounting for the separate contributions of body and surface waves using the Cauchy's contour integration method, for which the computation of surface waves corresponding to residues is fast. They further developed two faster codes for inversion of both the FW H/V and joint inversion, adding the velocity dispersion curve of fundamental mode of Rayleigh waves, and then implemented these codes to identify underground velocity structures at some sites (García-Jerez et al 2016;Piña-Flores et al 2017). That has been a major accomplishment, but the computation of body waves which contribute little to the full-wave consumes most of the computing time.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Application of a simplified calculation for full-wave microtremor H/V spectral ratio based on the diffuse field approximation to identify underground velocity structures

Masaki

Irikura

et al. 2017

Earth Planets Space

View full text Add to dashboard Cite

Under the diffuse field approximation, the full-wave (FW) microtremor H/V spectral ratio (H/V) is modeled as the square root of the ratio of the sum of imaginary parts of the Green's function of the horizontal components to that of the vertical one. For a given layered medium, the FW H/V can be well approximated with only surface waves (SW) H/V of the "cap-layered" medium which consists of the given layered medium and a new larger velocity half-space (cap layer) at large depth. Because the contribution of surface waves can be simply obtained by the residue theorem, the computation of SW H/V of cap-layered medium is faster than that of FW H/V evaluated by discrete wavenumber method and contour integration method. The simplified computation of SW H/V was then applied to identify the underground velocity structures at six KiK-net strong-motion stations. The inverted underground velocity structures were used to evaluate FW H/Vs which were consistent with the SW H/Vs of corresponding cap-layered media. The previous study on surface waves H/Vs proposed with the distributed surface sources assumption and a fixed Rayleighto-Love waves amplitude ratio for horizontal motions showed a good agreement with the SW H/Vs of our study. The consistency between observed and theoretical spectral ratios, such as the earthquake motions of H/V spectral ratio and spectral ratio of horizontal motions between surface and bottom of borehole, indicated that the underground velocity structures identified from SW H/V of cap-layered medium were well resolved by the new method.

show abstract

Geometry and evolution of a fault‐controlled Quaternary basin by means of TDEM and single‐station ambient vibration surveys: The example of the 2009 L'Aquila earthquake area, central Italy

et al. 2017

View full text Add to dashboard Cite

We applied a joint survey approach integrating time domain electromagnetic soundings and single‐station ambient vibration surveys in the Middle Aterno Valley (MAV), an intermontane basin in central Italy and the locus of the 2009 L'Aquila earthquake. By imaging the buried interface between the infilling deposits and the top of the pre‐Quaternary bedrock, we reveal the 3‐D basin geometry and gain insights into the long‐term basin evolution. We reconstruct a complex subsurface architecture, characterized by three main depocenters separated by thresholds. Basin infill thickness varies from ~200–300 m in the north to more than 450 m to the southeast. Our subsurface model indicates a strong structural control on the architecture of the basin and highlights that the MAV experienced considerable modifications in its configuration over time. The buried shape of the MAV suggests a recent and still ongoing predominant tectonic control by the NW‐SE trending Paganica‐San Demetrio Fault System (PSDFS), which crosscuts older ~ENE and NNE trending extensional faults. Furthermore, we postulate that the present‐day arrangement of the PSDFS is the result of the linkage of two previously isolated fault segments. We provide constraints on the location of the southeastern boundary of the PSDFS, defining an overall ~19 km long fault system characterized by a considerable seismogenetic potential and a maximum expected magnitude larger than M 6.5. This study emphasizes the benefit of combining two easily deployable geophysical methods for reconstructing the 3‐D geometry of a tectonically controlled basin. Our joint approach provided us with a consistent match between these two independent estimations of the basin substratum depth within 15%.

show abstract

The inversion of spectral ratio H/V in a layered system using the diffuse field assumption (DFA)

Cited by 91 publications

References 54 publications

Modeling and inversion of the microtremor H/V spectral ratio: physical basis behind the diffuse field approach

Modeling and inversion of the microtremor H/V spectral ratio: physical basis behind the diffuse field approach

Application of a simplified calculation for full-wave microtremor H/V spectral ratio based on the diffuse field approximation to identify underground velocity structures

Geometry and evolution of a fault‐controlled Quaternary basin by means of TDEM and single‐station ambient vibration surveys: The example of the 2009 L'Aquila earthquake area, central Italy

Contact Info

Product

Resources

About