Comment on “A comparison of finite-difference and fourier method calculations of synthetic seismograms”

Vidale, John E.

doi:10.1785/bssa0800020493

Cited by 27 publications

(21 citation statements)

References 6 publications

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“…Using a high-frequency approximation of the elastodynamic equation, we can obtain the body waves propagation traveltime equation between the isotropic media profile of the source and receiver well, that is the eikonal equation (Vidale, 1988),…”

Section: Methodology Forward Modeling: Solving Eikonal Equationmentioning

confidence: 99%

“…Subsequently, research has focused on developing algorithms to improve the accuracy of the seismic wavefield, which can improve the precision of inversion and improve the reliability of exploration geophysics projects. Vidale (1988) presented finitedifference (referred to as FD in this paper) approximation for the calculation of travel times. Podvin and Lecomte (1991) implemented a viable alternative strategy to overcome the drawbacks of Vidale (1988) such as heterogeneity.…”

Section: Introductionmentioning

confidence: 99%

“…Vidale (1988) presented finitedifference (referred to as FD in this paper) approximation for the calculation of travel times. Podvin and Lecomte (1991) implemented a viable alternative strategy to overcome the drawbacks of Vidale (1988) such as heterogeneity. Subsequently, Aldridge and Oldenburg (1993), used the FD operator for the first time, for rapid and accurate simulation of seismic traveltimes in crosswell tomography work.…”

Section: Introductionmentioning

confidence: 99%

“…Because the FD method can rapidly obtain the traveltime field with tolerable precision, it has been widely used in seismic exploration (Liu et al, 2009). However, the issues of the singularity at the source and accurate traveltime for the smooth velocity medium was already been clearly identified by Vidale (1988) and Podvin and Lecomte (1991).…”

Section: Introductionmentioning

confidence: 99%

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2D High-Resolution Crosswell Seismic Traveltime Tomography

Liu

Liao

et al. 2020

JEEG

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This paper presents a method for combining the hybrid eikonal solver and the prior velocity information to obtain high-resolution crosswell imaging. The hybrid eikonal solver in this technique can ensure rapid and reliable forward modeling of traveltime field in an unsmoothed velocity model. We also utilize the sonic well logging curve to properly develop an initial reference velocity model, and use the sonic well logging data as the prior information for the inversion part, which can restrict the problem of non-uniqueness. The results of the numerical experiment of traveltime in multi-layer media showed that the hybrid eikonal solver was more accurate than the finite difference method. The case study of an oil field in eastern China demonstrated that our method can derive a high-resolution reconstruction of the subsurface structure by inverting the primary traveltime datasets. These results suggest that even though the eikonal equation is a high frequency approximation to the wavefield, the hybrid eikonal solver can provide an accurate traveltime field in the forward modelling step of seismic crosswell tomography, which is critical to ensure high-resolution invert imaging in a highly heterogeneous environment.

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Section: Methodology Forward Modeling: Solving Eikonal Equationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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2D High-Resolution Crosswell Seismic Traveltime Tomography

Liu

Liao

et al. 2020

JEEG

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“…The finite-difference method used in this paper is accurate to the fourth order in space and the second order in time. The fourth-order algorithm that approximates the spatial derivatives is an extension of that of Vidale (1990) for the two-dimensional case. Absorbing boundaries based on those described by Clayton and Engquist (1977) were applied on all sides of the grid except the top.…”

Section: A199mentioning

confidence: 99%

The Loma Prieta, California, Earthquake of October 17, 1989: Strong ground motion

Borcherdt¹

1994

Professional Paper

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A novel seismic full waveform inversion approach for assessing the internal structure of a medieval sea dike

Schwardt,

Wilken,

Köhn

et al. 2023

Archaeological Prospection

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Coastal protection in the form of dike constructions has a long history at the German North Frisian coast dating back to the High Middle Ages. As the vast majority of the dikes built prior to the devastating storm surges of the Middle Ages have been irretrievably destroyed, mostly sparse remains and only a few well preserved of these medieval dikes are found along the German North Frisian coast and within the Wadden Sea. Not all details of their construction and dimensions are yet understood. In the present case study, we investigate the historical Schardeich on the island of Pellworm in the German North Sea in a noninvasive way using shear waves (SH‐waves). For the data interpretation, we applied a combination of seismic full waveform inversion and classical seismic reflection imaging to determine the interior structure of the dike and its underlying layers at the highest possible resolution. The results obtained on land are compared with dike remains found in the tidal flats. These remains show up in marine seismic sections as characteristic reflections, which probably represent a compaction layer caused by the load of the former dike. For ground truthing, we compare the seismic results with internal dike structures found in nearby excavations. The comparison highlights that FWI is a reliable tool for near‐surface archaeological prospecting. We find that SH‐wave FWI provides decimetre‐scale velocity and density models that allow, together with the seismic reflection section, to determine distinct construction phases of the dike. The investigated dike further shows a depression at base level of about 0.75 m, which is of the same order as observed for the dike base reflections in the tidal flats. Transferring these findings to the dike remains mapped in the tidal flats, we derive a height of the former dike from 2.2 to 4.4 m.

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Comment on “A comparison of finite-difference and fourier method calculations of synthetic seismograms”

Cited by 27 publications

References 6 publications

2D High-Resolution Crosswell Seismic Traveltime Tomography

2D High-Resolution Crosswell Seismic Traveltime Tomography

The Loma Prieta, California, Earthquake of October 17, 1989: Strong ground motion

A novel seismic full waveform inversion approach for assessing the internal structure of a medieval sea dike

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