The article offers an improvement of the method for predicting strong ground motion displacements and accelerations, assuming that an earthquake is an instantaneous mechanical rupture of the Earth’s crust. The method uses derived theoretical formulas to calculate all three parameters of the ground motion: displacements, velocities and accelerations during strong (with magnitude M≥6.0) earthquakes for any heterogeneous (multilayer) ground beddings. The article addresses the case of heterogeneous two-layer beddings. The example provided involves the results obtained for 16 variants of two-layer heterogeneous sites in seismic categories I-IV at the magnitude M=7.0, and distance of 15 km from the expected earthquake’s rupture. A comparison of the results obtained for actual heterogeneous foundation beddings with the equivalent homogeneous beddings showed divergences of increase by 1.3-1.6 times, depending on the number of the five and three natural oscillation modes considered. Significant effects of various modes of foundation bedding natural oscillations on ground surface displacements and accelerations were identified when comparing a heterogeneous beddings to a homogeneous ones. A substantial reduction (by a factor of two or more) in the stiffness of the upper soil layer relative to the lower layer leads to a marked increase in surface ground accelerations. A recommendation is provided that the predicted values of displacements and accelerations for heterogeneous foundation beddings should be calculated with consideration of at least 5 natural oscillation modes of the ground bedding. The paper proposes a new analytical solution to the problem of an earthquake as an instantaneous mechanical rupture of the earth's crust with modified boundary and initial conditions of the problem, and also reveals the influence of the ratio of the rigidities coefficients and the geometric parameters of the layers on the amplitudes of seismograms and accelerograms on the Earth's surface.
| Published in | Earth Sciences (Volume 14, Issue 6) |
| DOI | 10.11648/j.earth.20251406.14 |
| Page(s) | 239-260 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2025. Published by Science Publishing Group |
Heterogeneous Foundation Bedding, Prediction, Synthetic Seismograms and Accelerograms, Seismic Categories of Soils, Higher Mode Oscillations
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APA Style
Khachiyan, E. (2025). Peculiarities of Predicting Synthetic Seismograms and Accelerograms for Heterogeneous Foundation Beddings. Earth Sciences, 14(6), 239-260. https://doi.org/10.11648/j.earth.20251406.14
ACS Style
Khachiyan, E. Peculiarities of Predicting Synthetic Seismograms and Accelerograms for Heterogeneous Foundation Beddings. Earth Sci. 2025, 14(6), 239-260. doi: 10.11648/j.earth.20251406.14
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Download@article{10.11648/j.earth.20251406.14,
author = {Eduard Khachiyan},
title = {Peculiarities of Predicting Synthetic Seismograms and Accelerograms for Heterogeneous Foundation Beddings},
journal = {Earth Sciences},
volume = {14},
number = {6},
pages = {239-260},
doi = {10.11648/j.earth.20251406.14},
url = {https://doi.org/10.11648/j.earth.20251406.14},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.earth.20251406.14},
abstract = {The article offers an improvement of the method for predicting strong ground motion displacements and accelerations, assuming that an earthquake is an instantaneous mechanical rupture of the Earth’s crust. The method uses derived theoretical formulas to calculate all three parameters of the ground motion: displacements, velocities and accelerations during strong (with magnitude M≥6.0) earthquakes for any heterogeneous (multilayer) ground beddings. The article addresses the case of heterogeneous two-layer beddings. The example provided involves the results obtained for 16 variants of two-layer heterogeneous sites in seismic categories I-IV at the magnitude M=7.0, and distance of 15 km from the expected earthquake’s rupture. A comparison of the results obtained for actual heterogeneous foundation beddings with the equivalent homogeneous beddings showed divergences of increase by 1.3-1.6 times, depending on the number of the five and three natural oscillation modes considered. Significant effects of various modes of foundation bedding natural oscillations on ground surface displacements and accelerations were identified when comparing a heterogeneous beddings to a homogeneous ones. A substantial reduction (by a factor of two or more) in the stiffness of the upper soil layer relative to the lower layer leads to a marked increase in surface ground accelerations. A recommendation is provided that the predicted values of displacements and accelerations for heterogeneous foundation beddings should be calculated with consideration of at least 5 natural oscillation modes of the ground bedding. The paper proposes a new analytical solution to the problem of an earthquake as an instantaneous mechanical rupture of the earth's crust with modified boundary and initial conditions of the problem, and also reveals the influence of the ratio of the rigidities coefficients and the geometric parameters of the layers on the amplitudes of seismograms and accelerograms on the Earth's surface.},
year = {2025}
}
TY - JOUR T1 - Peculiarities of Predicting Synthetic Seismograms and Accelerograms for Heterogeneous Foundation Beddings AU - Eduard Khachiyan Y1 - 2025/12/19 PY - 2025 N1 - https://doi.org/10.11648/j.earth.20251406.14 DO - 10.11648/j.earth.20251406.14 T2 - Earth Sciences JF - Earth Sciences JO - Earth Sciences SP - 239 EP - 260 PB - Science Publishing Group SN - 2328-5982 UR - https://doi.org/10.11648/j.earth.20251406.14 AB - The article offers an improvement of the method for predicting strong ground motion displacements and accelerations, assuming that an earthquake is an instantaneous mechanical rupture of the Earth’s crust. The method uses derived theoretical formulas to calculate all three parameters of the ground motion: displacements, velocities and accelerations during strong (with magnitude M≥6.0) earthquakes for any heterogeneous (multilayer) ground beddings. The article addresses the case of heterogeneous two-layer beddings. The example provided involves the results obtained for 16 variants of two-layer heterogeneous sites in seismic categories I-IV at the magnitude M=7.0, and distance of 15 km from the expected earthquake’s rupture. A comparison of the results obtained for actual heterogeneous foundation beddings with the equivalent homogeneous beddings showed divergences of increase by 1.3-1.6 times, depending on the number of the five and three natural oscillation modes considered. Significant effects of various modes of foundation bedding natural oscillations on ground surface displacements and accelerations were identified when comparing a heterogeneous beddings to a homogeneous ones. A substantial reduction (by a factor of two or more) in the stiffness of the upper soil layer relative to the lower layer leads to a marked increase in surface ground accelerations. A recommendation is provided that the predicted values of displacements and accelerations for heterogeneous foundation beddings should be calculated with consideration of at least 5 natural oscillation modes of the ground bedding. The paper proposes a new analytical solution to the problem of an earthquake as an instantaneous mechanical rupture of the earth's crust with modified boundary and initial conditions of the problem, and also reveals the influence of the ratio of the rigidities coefficients and the geometric parameters of the layers on the amplitudes of seismograms and accelerograms on the Earth's surface. VL - 14 IS - 6 ER -
Scientific Departmen, National University of Architecture and Construction of Armenia (NUACA), Yerevan, Armenia;Institute of Geological Sciences, National Academy of Sciences of the Republic of Armenia (NAS RA), Yerevan, Armenia
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