Artificial Neural Network‐Based Framework for Developing Ground‐Motion Models for Natural and Induced Earthquakes in Oklahoma, Kansas, and Texas

This article puts forward an artificial neural network (ANN) framework to develop ground-motion models (GMMs) for natural and induced earthquakes in Oklahoma, Kansas, and Texas. The developed GMMs are mathematical equations that predict peak ground acceleration, peak ground velocity, and spectral accelerations at different frequencies given earthquake magnitude, hypocentral distance, and site condition. The motivation of this research stems from the recent increase in the seismicity rate of this particular region, which is mainly believed to be the result of the human activities related to petroleum production and wastewater disposal. Literature has shown that such events generally have shallow depths, leading to large-amplitude shaking, especially at short hypocentral distances. Thus, there is a pressing need to develop site-specific GMMs for this region. This study proposes an ANN-based framework to develop GMMs using a selected database of 4528 ground motions, including 376 seismic events with magnitudes of 3 to 5.8, recorded over the 4to 500-km hypocentral distance range in these three states since 2005. The results show that the proposed GMMs lead to accurate estimations and have generalization capability for ground motions with a range of seismic characteristics similar to those considered in the database. The sensitivity of the equations to predictive parameters is also presented. Finally, the attenuation of ground motions in this particular region is compared with those in other areas of North America. Electronic Supplement:Text and figures describing the selection of the hidden layer size of the artificial neural network (ANN) models, as well as sensitivity of ANN models to modeling assumptions

[1]  G. David Garson,et al.  Interpreting neural-network connection weights , 1991 .

[2]  W. Ellsworth,et al.  2017 One‐Year Seismic‐Hazard Forecast for the Central and Eastern United States from Induced and Natural Earthquakes , 2017 .

[3]  Susan E. Hough,et al.  Shaking from Injection‐Induced Earthquakes in the Central and Eastern United States , 2014 .

[4]  Ellen M. Rathje,et al.  Neural Network-Based Equations for Predicting PGA and PGV in Texas, Oklahoma, and Kansas , 2018, Geotechnical Earthquake Engineering and Soil Dynamics V.

[5]  A. Tropsha,et al.  Beware of q2! , 2002, Journal of molecular graphics & modelling.

[6]  Jonathan P. Stewart,et al.  NGA-West2 Equations for Predicting PGA, PGV, and 5% Damped PSA for Shallow Crustal Earthquakes , 2014 .

[7]  Amir Hossein Alavi,et al.  Prediction of principal ground-motion parameters using a hybrid method coupling artificial neural networks and simulated annealing , 2011 .

[8]  Ellen M. Rathje,et al.  VS30 Characterization of Texas, Oklahoma, and Kansas Using the P-Wave Seismogram Method , 2017 .

[9]  Brian W. Stump,et al.  A Historical Review of Induced Earthquakes in Texas , 2016 .

[10]  F. Cotton,et al.  Site-Condition Proxies, Ground Motion Variability, and Data-Driven GMPEs: Insights from the NGA-West2 and RESORCE Data Sets , 2016 .

[11]  null null,et al.  Minimum Design Loads and Associated Criteria for Buildings and Other Structures , 2017 .

[12]  W. Ellsworth,et al.  Assessing ground-motion amplitudes and attenuation for small-to-moderate induced and tectonic earthquakes in the central and eastern United States , 2017 .

[13]  W. Ellsworth Injection-Induced Earthquakes , 2013, Science.

[14]  Julian J. Bommer,et al.  Developing an Application‐Specific Ground‐Motion Model for Induced Seismicity , 2016 .

[15]  Charles S. Mueller,et al.  2016 one-year seismic hazard forecast for the Central and Eastern United States from induced and natural earthquakes , 2016 .

[16]  D. Marquardt An Algorithm for Least-Squares Estimation of Nonlinear Parameters , 1963 .

[17]  Tienfuan Kerh,et al.  Neural network estimation of ground peak acceleration at stations along Taiwan high-speed rail system , 2005, Eng. Appl. Artif. Intell..

[18]  Ali Farhadi,et al.  Assessing the Applicability of Ground‐Motion Models for Induced Seismicity Application in Central and Eastern North America , 2018, Bulletin of the Seismological Society of America.

[19]  A. Tropsha,et al.  Beware of q 2 , 2002 .

[20]  I. Ahmad,et al.  Neural Network Based Attenuation of Strong Motion Peaks in Europe , 2008 .

[21]  Hamza Güllü,et al.  A neural network approach for attenuation relationships: An application using strong ground motion data from Turkey , 2007 .

[22]  Brian W. Stump,et al.  Ellenburger wastewater injection and seismicity in North Texas , 2016 .

[23]  K. Assatourians,et al.  Empirically Calibrated Ground‐Motion Prediction Equation for Oklahoma , 2018, Bulletin of the Seismological Society of America.

[24]  P. Roy,et al.  On Some Aspects of Variable Selection for Partial Least Squares Regression Models , 2008 .

[25]  Gail M. Atkinson,et al.  Referenced Empirical Ground-Motion Model for Eastern North America , 2015 .

[26]  Gail M. Atkinson,et al.  Estimation of Moment Magnitude from Ground Motions at Regional Distances , 2013 .

[27]  Hans-Peter Harjes,et al.  Injection-induced earthquakes and crustal stress at 9 km depth at the KTB deep drilling site, Germany , 1997 .

[28]  F. Cotton,et al.  Towards fully data driven ground-motion prediction models for Europe , 2014, Bulletin of Earthquake Engineering.

[29]  Yong Pan,et al.  A novel QSPR model for prediction of lower flammability limits of organic compounds based on support vector machine. , 2009, Journal of hazardous materials.

[30]  J. Norbeck,et al.  The Effects of Varying Injection Rates in Osage County, Oklahoma, on the 2016 Mw 5.8 Pawnee Earthquake , 2017 .

[31]  K. Assatourians,et al.  Are Ground‐Motion Models Derived from Natural Events Applicable to the Estimation of Expected Motions for Induced Earthquakes? , 2017 .

[32]  Leonid Perlovsky,et al.  Neural Networks and Intellect: Using Model-Based Concepts , 2000, IEEE Transactions on Neural Networks.

[33]  George Cybenko,et al.  Approximation by superpositions of a sigmoidal function , 1989, Math. Control. Signals Syst..

[34]  W. Silva,et al.  NGA-West2 Database , 2014 .

[35]  C. Frohlich,et al.  The 17 May 2012 M4.8 earthquake near Timpson, East Texas: An event possibly triggered by fluid injection , 2014 .

[36]  Gail M. Atkinson,et al.  Estimation of Moment Magnitude (M) for Small Events (M<4) on Local Networks , 2014 .

[37]  Timothy D. Ancheta,et al.  NGA-West2 Research Project , 2014 .

[38]  Gail M. Atkinson,et al.  Regionally Adjustable Generic Ground‐Motion Prediction Equation Based on Equivalent Point‐Source Simulations: Application to Central and Eastern North America , 2015 .

[39]  Gail M. Atkinson,et al.  Ground‐Motion Prediction Equation for Small‐to‐Moderate Events at Short Hypocentral Distances, with Application to Induced‐Seismicity Hazards , 2015 .

[40]  Pierre-Yves Bard,et al.  Adapting the Neural Network Approach to PGA Prediction: An Example Based on the KiK-net Data , 2012 .

[41]  Jonathan P. Stewart,et al.  Proxy‐Based VS30 Estimation in Central and Eastern North America , 2017 .

[42]  R. Corotis Probability and statistics in Civil Engineering: by G.N. Smith, Nichols Publishing Company, New York, NY, 1986, 244 pp. , 1988 .