Joint modeling of Rayleigh wave dispersion and H/V spectral ratio using Pareto-based multiobjective particle swarm optimization
Joint modeling of Rayleigh wave dispersion and H/V spectral ratio using Pareto-based multiobjective particle swarm optimization
Estimating the shear wave velocity and thickness of geologic units in a sedimentary structure is important for quantifying thelocal site effect caused by an earthquake. Inversion of the Rayleigh wave dispersion alone is sensitive to the absolute average shear wavevelocity, while the H/V spectral ratio is sensitive to velocity contrasts. The solution of these models in a joint system using conventionalinversion techniques suffers from difficulties while evaluating partial derivatives, dependencies to the initial model that is sometimesdifficult to estimate, and trapping at a local minimum. Herein, a joint model using the Pareto optimality technique with multiobjectiveparticle swarm optimization was constructed as an effective global optimization method to decrease weakness and increase performancewhile estimating the depths and velocities. The presented approach is a multiobjective optimization method that does not requireweighting, and allows evaluations of the individual objective function separately in a joint system. This study presents 2 synthetic jointsystem examples to account for a gradient-type and sharp velocity contrast cases, and an application from field data obtained from theBursa Basin in Turkey. With these examples, an automated parameter search space was demonstrated to account for the abrupt velocitychanges and a number of additional key points that are essential for a reasonable optimal solution.
___
- Akca I, Günther T, Müller-Petke M, Başokur AT, Yaramanci U
(2014). Joint parameter estimation from magnetic resonance
and vertical electric soundings using a multi-objective genetic
algorithm. Geophysical Prospecting 62 (2): 364-376. doi:
10.1111/1365-2478.12082
- Ammon CJ, Velasco AA, Lay T (1993). Rapid estimation of rupture
directivity: Application to the 1992 Landers (MS = 7.4) and Cape
Mendocino (MS = 7.2), California earthquakes. Geophysical
Research Letters 20 (2): 97-100. doi: 10.1029/92GL03032
- Arai H, Tokimatsu K (2005). S-wave velocity profiling by joint
inversion of microtremor dispersion curve and horizontal-tovertical (H/V) spectrum. Bulletin of the Seismological Society
of America 95 (5): 1766-1778. doi: 10.1785/0120040243
- Bard PY (1999). Microtremor measurement : a tool for site effect
estimation? 2nd Int Symp. on the Effects of Surface Geology on
Seismic Motion, Yokohama, Japan 1 (3); 1251-1279.
- Boore DM, Toksöz MN (1969). Rayleigh wave particle motion and
crustal structure. Bulletin of the Seismological Society of
America 59 (1); 331-346.
- Boxberger T, Picozzi M, Parolai S (2011). Shallow geology
characterization using Rayleigh and Love wave dispersion
curves derived from seismic noise array measurements.
Journal of Applied Geophysics 75 (2); 345-354. doi: 10.1016/j.
jappgeo.2011.06.032
- Bozdağ E, Kocaoğlu AH (2005). Estimation of site amplifications
from shear-wave velocity profiles in Yeşilyurt and Avcilar,
Istanbul, by frequency-wavenumber analysis of microtremors.
Journal of Seismology 9 (1); 87-98. doi: 10.1007/s10950-005-
5271-8
- Buyuk E, Zor E, Karaman A (2017). Rayleigh wave dispersion
curve inversion by using particle swarm optimization and
genetic algorithm. 19th EGU General Assembly, EGU2017,
Proceedings from the Conference Held 23-28 April, 2017 in
Vienna, Austria., p.6911, 19, 6911.
- Carlisle A, Dozier G (2001). An off-the-shelf pso. In : Proceeding
of Workshop on Particle Swarm Optimizaiton. Indianapolis,
Purdue School of Engineering and Technology, IUPUI,
Indianapolis, IN, USA.
- Coello Coello CA, Reyes-Sierra M (2006). Multi-objective particle
swarm optimizers: a survey of the state-of-the-art. International
Journal of Computational Intelligence Research, 2(3), 1-48.
doi: 10.5019/j.ijcir.2006.68
- Colorni A, Dorigo M, Maniezzo V (1991). Distributed Optimization
by ant colonies. Proceedings of the First European Conference
on Artificial Life, 134-142.
- Dal Moro G, Pipan M (2007). Joint inversion of surface wave
dispersion curves and reflection travel times via multi-objective
evolutionary algorithms. Journal of Applied Geophysics, 61
(1); 56-81. doi: 10.1016/j.jappgeo.2006.04.001
- Dal Moro G (2010). Insights on surface wave dispersion and
HVSR: Joint analysis via Pareto optimality. Journal of Applied
Geophysics 72 (2); 129-140. doi: 10.1016/j.jappgeo.2010.08.004
- Dal Moro G (2008). VSand VPvertical profiling via joint inversion
of Rayleigh waves and refraction travel times by means of
bi-objective evolutionary algorithm. Journal of Applied
Geophysics 66 (1-2); 15-24. doi: 10.1016/j.jappgeo.2008.08.002
- Ergin M, Aktar M, Eyidoğan H (2004). Present-Day Seismicity and
Seismotectonics of the Cilician Basin: Eastern Mediterranean
Region of Turkey. Bulletin of the Seismological Society of
America 94 (3); 930-939. doi: 10.1785/0120020153
- Fäh D, Kind F, Giardini D (2001). A theoretical investigation of
average HIV ratios. Geophysical Journal International 145 (2);
535-549. doi: 10.1046/j.0956-540X.2001.01406.x
- Fern JL, Garc E (2010). Appraising the Streaming-Potential
Inverse Problem. Geophysics 75 (4); WA3-WA15. doi:
10.1190/1.3460842
- Foti S, Comina C, Boiero D, Socco LV (2009). Non-uniqueness
in surface-wave inversion and consequences on seismic site
response analyses. Soil Dynamics and Earthquake Engineering,
29 (6); 982-993. doi: 10.1016/j.soildyn.2008.11.004
- Hassan R, Cohanim B, Weck O de. (2005). A comparison of particle
swarm optimization and the genetic algorithm. 1st AIAA
Multidisciplinary Design Optimization Specialist Conference,
1-13. doi: 10.2514/6.2005-1897
- Herrmann RB (2002). Computer Programs in Seismology an
Overview of Synthetic Seismogram Computation. Saint Louis
University, USA, Version 3.30 2002, (September).
- Holland JH (1975). Adaptation in Natural and Artificial Systems: An
introductory Analysis with Applications to Biology, Control and
Artificial Intelligence. MIT Press, 183. doi: 10.1137/1018105
- Kennedy J (1998). The behavior of particles. Evolutionary
Programming VII: 7th International Conference, EP98 San
Diego, California, USA, March 25–27, 1998 Proceedings doi:
10.1007/BFb0040809
- Kennedy J, Eberhart R (1995). Particle swarm optimization. Neural
Networks, 1995. Proceedings, IEEE International Conference
On, 4, 1942–1948 vol.4. doi: 10.1109/ICNN.1995.488968
- Kirkpatrick S, Gelatt CD, Vecchi MP (1983). Optimization by
simulated annealing. Science, New York 220 (4598); 671-680.
doi: 10.1126/science.220.4598.671
- Köhler A, Ohrnberger M, Scherbaum F, Wathelet M, Cornou
C (2007). Assessing the reliability of the modified threecomponent spatial autocorrelation technique. Geophysical
Journal International 168 (2); 779-796. doi: 10.1111/j.1365-
246X.2006.03253.x
- Konno K, Ohmachi T (1998). Ground-motion characteristics
estimated from spectral ratio between horizontal and vertical
components of microtremor. Bulletin of the Seismological
Society of America 88 (1); 228-241.
- Kuo CH, Chen CT, Lin CM, Wen KL, Huang JY et al. (2016).
S-wave velocity structure and site effect parameters derived
from microtremor arrays in the Western Plain of Taiwan.
Journal of Asian Earth Sciences 128; 27-41. doi: 10.1016/j.
jseaes.2016.07.012
- Ohrnberger M, Scherbaum F, Krüger F, Pelzing R, Reamer SK (2004).
How good are shear wave velocity models obtained from
inversion of ambient vibrations in the lower Rhine embayment
(N.W. Germany)? Bollettino Di Geofisica Teorica Ed Applicata
45 (3); 215-232.
- Özalaybey S, Savage MK, Sheehan AF, Louie JN, Brune JN (1997).
Shear-wave velocity structure in the northern Basin and Range
province from the combined analysis of receiver functions and
surface waves. Bulletin of the Seismological Society of America
87 (1); 183-199.
- Özalaybey S, Zor E, Ergintav S, Tapirdamaz MC (2011). Investigation
of 3-D basin structures in the İzmit Bay area (Turkey) by singlestation microtremor and gravimetric methods. Geophysical
Journal International 186 (2); 883-894. doi: 10.1111/j.1365-
246X.2011.05085.x
- Özel O, Cranswick E, Meremonte M, Erdik M, Safak E (2002). Site
effects in Avcilar, West of Istanbul, Turkey, from strong- and
weak-motion data. Bulletin of the Seismological Society of
America 92 (1); 499-508. doi: 10.1785/0120000827
- Pace F, Santilano A, Godio A (2019). Particle swarm optimization of
2D magnetotelluric data. Geophysics 84 (3); E125-E141. doi:
10.1190/geo2018-0166.1
- Park CB, Miller RD, Xia J (1999). Multichannel analysis of surface
waves. Geophysics 64 (3); 800-808. doi: 10.1190/1.1444590
- Parolai S, Bormann P, Milkereit C (2001). Assessment of the natural
frequency of the sedimentary cover in the cologne area
(Germany) using noise measurements. Journal of Earthquake
Engineering 5 (4); 541-564. doi: 10.1080/13632460109350405
- Parolai S, Picozzi M, Richwalski SM, Milkereit C (2005). Joint
inversion of phase velocity dispersion and H/V ratio curves
from seismic noise recordings using a genetic algorithm,
considering higher modes. Geophysical Research Letters 32
(1); 1-4. doi: 10.1029/2004GL021115
- Parolai S, Richwalski SM, Milkereit C, Fäh D (2006). S-wave velocity
profiles for earthquake engineering purposes for the Cologne
area (Germany). Bulletin of Earthquake Engineering 4 (1); 65-
94. doi: 10.1007/s10518-005-5758-2
- Peksen E, Yas T, Kiyak A (2014). 1-D DC Resistivity Modeling and
Interpretation in Anisotropic Media Using Particle Swarm
Optimization. Pure and Applied Geophysics 171 (9); 2371-
2389. doi: 10.1007/s00024-014-0802-2
- Picozzi M, Albarello D (2007). Combining genetic and linearized
algorithms for a two-step joint inversion of Rayleigh wave
dispersion and H/V spectral ratio curves. Geophysical
Journal International 169 (1); 189-200. doi: 10.1111/j.1365-
246X.2006.03282.x
- Poli R, Kenney J, Blackwell T (2007). Particle swarm optimization.
Swarm Intelligence 1 (1); 33-57. doi: 10.1007/s11721-007-
0002-0
- Rao SS (2009). Engineering Optimization: Theory and Practice:
Fourth Edition. In Engineering Optimization: Theory and
Practice: Fourth Edition. doi: 10.1002/9780470549124
- Richwalski SM, Picozzi M, Parolai S, Milkereit C, Baliva F et al.
(2007). Rayleigh wave dispersion curves from seismological
and engineering-geotechnical methods: a comparison at the
Bornheim test site (Germany). Journal of Geophysics and
Engineering 4 (4); 349-361. doi: 10.1088/1742-2132/4/4/001
- Satoh T, Kawase H, Marsushima S (2001). Estimation of S-Wave
velocity structures in and around the Sendai Basin, Japan, using
array records of microtremors. Bulletin of the Seismological
Society of America 91 (2); 206-218. doi: 10.1785/0119990148
- Scherbaum F, Hinzen KG, Ohrnberger M (2003). Determination
of shallow shear wave velocity profiles in the cologne,
Germany area using ambient vibrations. Geophysical
Journal International 152 (3); 597-612. doi: 10.1046/j.1365-
246X.2003.01856.x
- Shaw R, Srivastava S (2007). Particle swarm optimization: A new
tool to invert geophysical data. Geophysics 72 (2); F75. doi:
10.1190/1.2432481
- Shi Y, Eberhart RC (1998). Parameter selection in particle swarm
optimization. Evolutionary Programming VII; 591-600. doi:
10.1007/BFb0040810
- Song X, Tang L, Lv X, Fang H, Gu H (2012). Application of particle
swarm optimization to interpret Rayleigh wave dispersion
curves. Journal of Applied Geophysics 84; 1-13. doi: 10.1016/j.
jappgeo.2012.05.011
- Stokoe KH, Wright SG, Bay JA, Roesset JM (1994). Characterization
of geotechical sites by SASW method. Geophysical
Characterization of Sites, 15-25.
- Tezcan SS, Kaya E, Bal IE, Ozdemir Z (2002). Seismic amplification
at Avcılar, Istanbul. Engineering Structures 24 (5); 661-667.
doi: 10.1016/S0141-0296(02)00002-0
- Tezcan SS, Keceli A, Ozdemir Z (2006). Allowable bearing capacity
of shallow foundations based on shear wave velocity.
Geotechnical and Geological Engineering 24 (1); 203-218. doi:
10.1007/s10706-004-1748-4
- Tripathi PK, Bandyopadhyay S, Pal SK (2007). Multi-Objective
Particle Swarm Optimization with time variant inertia and
acceleration coefficients. Information Sciences 177 (22); 5033-
5049. doi: 10.1016/j.ins.2007.06.018
- Wathelet M, Jongmans D, Ohrnberger M, Bonnefoy-Claudet S
(2008). Array performances for ambient vibrations on a
shallow structure and consequences over Vs inversion. Journal
of Seismology 12 (1); 1-19. doi: 10.1007/s10950-007-9067-x
- Yuan S, Wang S, Tian N (2009). Swarm intelligence optimization
and its application in geophysical data inversion. Applied
Geophysics 6 (2); 166-174. doi: 10.1007/s11770-009-0018-x
- Zor E, Özalaybey S, Karaaslan A, Tapirdamaz MC, Özalaybey S
et al. (2010). Shear wave velocity structure of the Izmit Bay
area (Turkey) estimated from active-passive array surface
wave and single-station microtremor methods. Geophysical
Journal International 182 (3); 1603-1618. doi: 10.1111/j.1365-
246X.2010.04710.x