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Long Period Ground Motion at Bedrock Level in Delhi City from Himalayan Earthquake Scenarios

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Abstract

Delhi, the capital of India, is prone to severe seismic hazards, not only from local events but also from Himalayan earthquakes at distances of 250–300 km. Standard techniques are not sufficiently reliable to completely characterize the seismic hazards in this case due to the difficulty of predicting the occurrence of earthquakes (frequency–magnitude relations) and of properly treating the propagation of their effects (attenuation laws), especially their long-period components. In order to give a sound description of the seismic ground motion due to an earthquake in such a given range of distances (and magnitudes), we use modelling techniques developed from physics of the seismic source generation and propagation processes. Such models take into account the directivity effect of rupture propagation and the attenuation of (long-period) ground motions. The generated ground motion scenarios permit us to build a very important knowledge base to be fruitfully used by civil engineers, since long period ground motions, especially if amplified by deep sedimentary basins, can represent a severe threat for large scale structures (e.g. lifelines and bridges) and tall buildings, which are widespread in fast-growing megacities. In this study, we simulate the ground motion, at bedrock level, in Delhi city, for an earthquake scenario corresponding to a source of Mw = 8.0 located in the central seismic gap of Himalayas, at an epicentral distance of about 300 km from Delhi city. By means of several parametric studies, we simulate the time histories using Size Scaled Point Source, Space and Time Scaled Point Source and Extended Source models. Together with the complete time histories (displacements, velocities and accelerations, from which the peak amplitudes have been extracted), we have also used the displacement response spectrum to characterize the seismic input at Delhi. Not only is the displacement response spectrum of great significance to modern displacement-based design engineering approaches, but it is probably the best parameter by which to characterize the destructiveness potential of earthquakes located at such great distances from the target sites (of the order of 300 km), since the energy of the seismic input is mainly concentrated at long periods (in general, greater than 1 s) and it cannot be determined by straightforward integration of velocity or acceleration response spectra.

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Acknowledgments

This study is carried out within the framework of Indo-Italian POC in Science and Technology 2005–2007 no. INT/ITALY/POC 2005–2007 (TEE.1)/2005 and with the contribution of Italian Ministry of Foreign Affairs (MAE), Direzione Generale per la Promozione e la Cooperazione Culturale. IAP is thankful to SIC, C-MMACS for encouragement and support for this project. We used GMT software (Wessel and Smith, 1991) in the preparation of some figures. We acknowledge the useful comments from two anonymous referees that helped to greatly improve the manuscript.

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Correspondence to Imtiyaz A. Parvez.

Appendix

Appendix

Signals and spectral information.

See Tables 1, 2, 3, 4, 5.

See Figs. 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56.

Fig. 13
figure 13

Vertical component of synthetic seismograms [displacement (cm), velocity (cm/s), acceleration (cm/s2)] computed at different strike-receiver angles (reported in the left column) using the SSPS source model and structural model 1 for a hypocentral depth equal to 10 km

Fig. 14
figure 14

EW component of synthetic seismograms [displacement (cm), velocity (cm/s), acceleration (cm/s2)] computed at different strike-receiver angles (reported in the left column) computed using the SSPS source model and structural model 1 for a hypocentral depth equal to 10 km

Fig. 15
figure 15

NS component of synthetic seismograms [displacement (cm), velocity (cm/s), acceleration (cm/s2)] computed at different strike-receiver angles (reported in the left column) computed using the SSPS source model and structural model 1 for a hypocentral depth equal to 10 km

Fig. 16
figure 16

Displacement response spectra (in cm, calculated from the, starting from the left column, vertical, NS and EW components of acceleration, respectively) using the SSPS model for a hypocentral depth equal to 10 km

Fig. 17
figure 17

Vertical component of synthetic seismograms [displacement (cm), velocity (cm/s), acceleration (cm/s2)] computed at different strike-receiver angles (reported in the left column) computed using the SSPS source model and structural model 1 for a hypocentral depth, 15 km

Fig. 18
figure 18

EW component of synthetic seismograms [displacement (cm), velocity (cm/s), acceleration (cm/s2)] computed at different strike-receiver angles (reported in the left column) computed using the SSPS source model and structural model 1 for a hypocentral depth equal to 15 km

Fig. 19
figure 19

NS component of synthetic seismograms [displacement (cm), velocity (cm/s), acceleration (cm/s2)] computed at different strike-receiver angles (reported in the left column) computed using the SSPS source model and structural model 1 for a hypocentral depth equal to 15 km

Fig. 20
figure 20

Displacement response spectra (in cm, calculated from the, starting from the left column, vertical, NS and EW components of acceleration, respectively) using the SSPS source model and structural model 1 for a hypocentral depth equal to 15 km

Fig. 21
figure 21

Vertical component of synthetic seismograms [displacement (cm), velocity (cm/s), acceleration (cm/s2)] computed at different strike-receiver angles (reported in the left column) computed using the SSPS source model and structural model 1 for hypocentral depth equal to 20 km

Fig. 22
figure 22

EW component of synthetic seismograms [displacement (cm), velocity (cm/s), acceleration (cm/s2)] computed at different strike-receiver angles (reported in the left column) computed using the SSPS source model and structural model 1 for hypocentral depth equal to 20 km

Fig. 23
figure 23

NS component of synthetic seismograms [displacement (cm), velocity (cm/s), acceleration (cm/s2)] computed at different strike-receiver angles (reported in the left column) computed using the SSPS model and structural model 1 for hypocentral depth equal to 20 km

Fig. 24
figure 24

Displacement response spectra (in cm, calculated from the, starting from the left column, vertical, NS and EW components of acceleration, respectively) using the SSPS source model and structural model 1 for hypocentral depth equal to 20 km

Fig. 25
figure 25

Vertical component of synthetic seismograms [displacement (cm), velocity (cm/s), acceleration (cm/s2)] computed at different strike-receiver angles (reported in the left column) computed using the STSPS source model and structural model 1 for hypocentral depth equal to 10 km

Fig. 26
figure 26

EW component of synthetic seismograms [displacement (cm), velocity (cm/s), acceleration (cm/s2)] computed at different strike-receiver angles (reported in the left column) computed using the STSPS source model and structural model 1 for hypocentral depth equal to 10 km

Fig. 27
figure 27

NS component of synthetic seismograms [displacement (cm), velocity (cm/s), acceleration (cm/s2)] computed at different strike-receiver angles (reported in the left column) computed using the STSPS source model and structural model 1 for hypocentral depth equal to 10 km

Fig. 28
figure 28

Displacement response spectra (in cm, calculated from the, starting from the left column, vertical, NS and EW components of acceleration, respectively) using the STSPS source model and structural model 1 for hypocentral depth equal to 10 km

Fig. 29
figure 29

Vertical component of synthetic seismograms [displacement (cm), velocity (cm/s), acceleration (cm/s2)] computed at different strike-receiver angles (reported in the left column) computed using the STSPS source model and structural model 1 for a hypocentral depth equal to 15 km

Fig. 30
figure 30

EW component of synthetic seismograms [displacement (cm), velocity (cm/s), acceleration (cm/s2)] computed at different strike-receiver angles (reported in the left column) computed using the STSPS source model and structural model 1 for a hypocentral depth equal to 15 km

Fig. 31
figure 31

NS component of synthetic seismograms [displacement (cm), velocity (cm/s), acceleration (cm/s2)] computed at different strike-receiver angles (reported in the left column) computed using the STSPS model and structural model 1 for a hypocentral depth equal to 15 km

Fig. 32
figure 32

Displacement response spectra (in cm, calculated from the, starting from the left column, vertical, NS and EW components of acceleration, respectively) using the STSPS source model and structural model 1 for a hypocentral depth equal to 15 km

Fig. 33
figure 33

Vertical component of synthetic seismograms [displacement (cm), velocity (cm/s), acceleration (cm/s2)] computed at different strike-receiver angles (reported in the left column) computed using the STSPS source model and structural model 1 for a hypocentral depth equal to 20 km

Fig. 34
figure 34

EW component of synthetic seismograms [displacement (cm), velocity (cm/s), acceleration (cm/s2)] computed at different strike-receiver angles (reported in the left column) computed using the STSPS source model and structural model 1 for a hypocentral depth equal to 20 km

Fig. 35
figure 35

NS component of synthetic seismograms [displacement (cm), velocity (cm/s), acceleration (cm/s2)] computed at different strike-receiver angles (reported in the left column) computed using the STSPS source model and structural model 1 for a hypocentral depth equal to 20 km

Fig. 36
figure 36

Displacement response spectra (in cm, calculated from the, starting from the left column, vertical, NS and EW components of acceleration, respectively) using the STSPS source model and structural model 1 for a hypocentral depth equal to 20 km

Fig. 37
figure 37

Vertical component of synthetic seismograms [displacement (cm), velocity (cm/s), acceleration (cm/s2)] computed at different strike-receiver angles (reported in the left column) computed using the ES model and structural model 1 with a central depth of the fault equal to 10 km

Fig. 38
figure 38

EW component of synthetic seismograms [displacement (cm), velocity (cm/s), acceleration (cm/s2)] computed at different strike-receiver angles (reported in the left column) computed using the ES model and structural model 1 with a central depth of the fault equal to 10 km

Fig. 39
figure 39

NS component of synthetic seismograms [displacement (cm), velocity (cm/s), acceleration (cm/s2)] computed at different strike-receiver angles (reported in the left column) computed using the ES model and structural model 1 with a central depth of the fault equal to 10 km

Fig. 40
figure 40

Displacement response spectra (in cm, calculated from the, starting from the left column, vertical, NS and EW components of acceleration, respectively) using the ES model and structural model 1 with a central depth of the fault equal to 10 km

Fig. 41
figure 41

Vertical component of synthetic seismograms [displacement (cm), velocity (cm/s), acceleration (cm/s2)] computed at different strike-receiver angles (reported in the left column) computed using the ES model and structural model 1 with a central depth of the fault equal to 15 km

Fig. 42
figure 42

EW component of synthetic seismograms [displacement (cm), velocity (cm/s), acceleration (cm/s2)] computed at different strike-receiver angles (reported in the left column) computed using the ES model and structural model 1 with a central depth of the fault equal to 15 km

Fig. 43
figure 43

NS component of synthetic seismograms [displacement (cm), velocity (cm/s), acceleration (cm/s2)] computed at different strike-receiver angles (reported in the left column) computed using the ES model and structural model 1 with a central depth of the fault equal to 15 km

Fig. 44
figure 44

Displacement response spectra (in cm, calculated from the, starting from the left column, vertical, NS and EW components of acceleration, respectively) using the ES model and structural model 1 with a central depth of the fault equal to 15 km

Fig. 45
figure 45

Vertical component of synthetic seismograms [displacement (cm), velocity (cm/s), acceleration (cm/s2)] computed at different strike-receiver angles (reported in the left column) computed using the ES model and structural model 1 with a central depth of the fault equal to 20 km

Fig. 46
figure 46

EW component of synthetic seismograms [displacement (cm), velocity (cm/s), acceleration (cm/s2)] computed at different strike-receiver angles (reported in the left column) computed using the ES model and structural model 1 with a central depth of the fault equal to 20 km

Fig. 47
figure 47

NS component of synthetic seismograms [displacement (cm), velocity (cm/s), acceleration (cm/s2)] computed at different strike-receiver angles (reported in the left column) computed using the ES model and structural model 1 with a central depth of the fault equal to 20 km

Fig. 48
figure 48

Displacement response spectra (in cm, calculated from the, starting from the left column, vertical, NS and EW components of acceleration, respectively) using the ES model and structural model 1 with a central depth of the fault equal to 20 km

Fig. 49
figure 49

Vertical component of synthetic seismograms [displacement (cm), velocity (cm/s), acceleration (cm/s2)] computed at different strike-receiver angles (reported in the left column) computed using the SSPS source model and structural model 1 and 2 with a hypocentral depth equal to 10 km

Fig. 50
figure 50

Radial component of synthetic seismograms [displacement (cm), velocity (cm/s), acceleration (cm/s2)] computed at different strike-receiver angles (reported in the left column) computed using the SSPS model and structural model 1 and 2 with a hypocentral depth equal to 10 km

Fig. 51
figure 51

Transverse component of synthetic seismograms [displacement (cm), velocity (cm/s), acceleration (cm/s2)] computed at different strike-receiver angles (reported in the left column) computed using the SSPS model and structural model 1 and 2 with a hypocentral depth equal to 10 km

Fig. 52
figure 52

Displacement response spectra (in cm, calculated from the, starting from the left column, vertical, NS and EW components of acceleration, respectively) using the SSPS source model and structural model 1 and 2 with a hypocentral depth equal to 10 km

Fig. 53
figure 53

Vertical component of synthetic seismograms [displacement (cm), velocity (cm/s), acceleration (cm/s2)] computed at different strike-receiver angles (reported in the left column) computed using the SSPS model and structural model 1 and 2 with a hypocentral depth equal to 10 km

Fig. 54
figure 54

Radial component of synthetic seismograms [displacement (cm), velocity (cm/s), acceleration (cm/s2)] computed at different strike-receiver angles (reported in the left column) computed using the STSPS model and structural model 1 and 2 with a hypocentral depth equal to 10 km

Fig. 55
figure 55

Transverse component of synthetic seismograms [displacement (cm), velocity (cm/s), acceleration (cm/s2)] computed at different strike-receiver angles (reported in the left column) computed using the STSPS model and structural model 1 and 2 with a hypocentral depth equal to 10 km

Fig. 56
figure 56

Displacement response spectra (in cm, calculated from the, starting from the left column, vertical, NS and EW components of acceleration, respectively) using the STSPS source model and structural model 1 and 2 with a hypocentral depth equal to 10 km

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Parvez, I.A., Romanelli, F. & Panza, G.F. Long Period Ground Motion at Bedrock Level in Delhi City from Himalayan Earthquake Scenarios. Pure Appl. Geophys. 168, 409–477 (2011). https://doi.org/10.1007/s00024-010-0162-5

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