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The Qp attenuation structure of the Koyna-Warna region, Maharashtra India, and its correlation to seismicity

Kumar Sanjay, Kumar Prakash, Kumar Sai Vijay

Acta Geophysica

2023

Vol. 71, no. 6

2603--2618

In this study, we developed a three-dimensional (3D) (Qp) P-wave attenuation model of the uppermost crust (0-10 km depth) of the Koyna-Warna region (India). The inversion of attenuation operator (t*) is used to deduce a 3D Qp attenuation model using simul2000 code by assuming that t* is independent of frequency. A total of 276 earthquakes (1.0 ≤ ML ≤ 3.5) were used for this study, those providing 2045 t* values. The t* values are determined by fitting the observed P-wave amplitude spectrum with the theoretical spectrum by assuming an ω2 source model using a nonlinear least squares spectral-fitting algorithm. The tomography model shows the low Qp anomalies (~ 200-350) at shallow depth (0-3 km) that could be related to fracturing and cracks. The Qp value gradually increases with depth due to the closure of cracks and fractures as pressure increases from the lithostatic load. The high Qp (~ 500-600) are found in the intense seismic activity zone at 5-7 km depth where majority of the earthquakes were generated corresponds to the brittle crust and well correlated to higher Vp (~ 5.5-6.0 km/s) reported previously in the study area. We inferred that the high Qp is well correlated to seismicity likely associated with the dry to partially saturated rocks, which playing a vital role in the genesis of earthquakes in the study area.

Synchronization of fractional order Rabinovich-Fabrikant systems using sliding mode control techniques

Kumar Sanjay, Singh Chaman, Prasad Sada Nand, Shekhar Chandra, Aggarwal Rajiv

Archives of Control Sciences

2019

Vol. 29, No. 2

307--322

In this research article, we present the concepts of fractional-order dynamical systems and synchronization methodologies of fractional order chaotic dynamical systems using slide mode control techniques. We have analysed the different phase portraits and time-series graphs of fractional order Rabinovich-Fabrikant systems. We have obtained that the lowest dimension of Rabinovich-Fabrikant system is 2.85 through utilization of the fractional calculus and computational simulation. Bifurcation diagrams and Lyapunov exponents of fractional order Rabinovich-Fabrikant system to justify the chaos in the systems. Synchronization of two identical fractional-order chaotic Rabinovich-Fabrikant systems are achieved using sliding mode control methodology.