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1

Assessment and recognition of pre and co seismic electromagnetic signatures from magnetotelluric data: a case study from Koyna–Warna seismoactive region, India

Vijaya Kumar P. V., Rawat Vishal S., Patro Prasanta K., Gupta A. K., Babu Narendra

Acta Geophysica

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2021

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Vol. 69, no. 1

1--15

EN

Continuously monitored magnetotelluric (MT) time series data were used to identify the short-term earthquake co-seismic and pre-seismic electromagnetic phenomenon. The co-seismic behavior of the MT time series data recorded at 15 Hz sampling frequency is analyzed for the earthquake that occurred on November 24, 2007, of Mw =4.6. The wavelet analysis of the MT time series data shows signifcant enhancement at 3–6 Hz frequency band in the scalogram during the earthquake in comparison with pre- and post-time. The signifcant enhancement in the scalogram is related to the onset of the main shock of the earthquake. In this paper, we have also shown the precursory signatures of several earthquake magnitudes (Mw) ranging from 3.9 to 4.9 and the focal depth extending from 5 to 10 km mainly dominated by normal and strike-slip faulting. The spectral polarization ratio technique was implemented on these events to identify the precursory signatures. A few days before the earthquake, a signifcant anomaly was identifed for most of the earthquakes using this technique. This prominent anomaly is correlated with Dst index, which provides information about the ionosphere and magnetosphere responses in the presence of the solar wind and interplanetary magnetic feld. We inferred the unusual behavior prior to the earthquake is related to the precursory signature, but not related to the solar-terrestrial efect. The complex tectonic settings in the study region suggest that both electrokinetic and seismic dynamo mechanisms are the probable mechanisms playing an important role in generation of co- and pre-seismic electromagnetic signals.

2

Two-Dimensional Chebyshev Wavelet Method for Camassa-Holm Equation with Riesz Fractional Derivative Describing Propagation of Shallow Water Waves

Gupta A. K., Saha Ray S.

Fundamenta Informaticae

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2017

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Vol. 151, nr 1/4

77--89

EN

In this article, the authors present a new wavelet based method viz. Chebyshev wavelet method to compute the numerical solution of Riesz time-fractional Camassa-Holm equation. The approximate solutions of Riesz time-fractional Camassa-Holm equation thus obtained by two-dimensional Chebyshev wavelet method are compared with those obtained by analytical methods such as homotopy analysis method (HAM) and variational iteration method (VIM). The present scheme is quite simple, effective and appropriate for obtaining the numerical solution of the Riesz time-fractional Camassa-Holm equation.

3

Propagation of Love waves in a void medium over a sandy half space under gravity

Patra P., Gupta A. K., Kundu S.

Acta Geophysica

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2017

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Vol. 65, no. 2

269--274

EN

The present study investigates the propagation of Love wave in a void layer resting over a sandy half space under the effect of gravitational force. The equations of motion have been gathered separately for different layers, and the boundary conditions have been introduced for two different layers at their interface. The mathematical analysis of the problem has been dealt with the help of Whittaker’s function by expanding it asymptotically up to linear terms. The study reveals that in such a situation there exist two different wave fronts for the two abovementioned layers: one is for the effects of gravity and sandy parameters, whereas other is for the effect of void parameter.

4

Exponential temperature effect on frequencies of a rectangular plate of non-linear varying thickness: a quintic spline technique

Gupta A. K., Mamta J.

Journal of Theoretical and Applied Mechanics

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2014

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Vol. 52 nr 1

15--24

EN

The differential equation governing the transverse motion of an elastic rectangular plate of non-linear thickness variation with thermal gradient has been analyzed on the basis of classi- cal plate theory. Following Levy’s approach, i.e. the two parallel edges are simply supported, the fourth-order differential equation governing the motion of such plates of non-linear vary- ing thickness in one direction with exponentially temperature distribution has been solved by using the quintic splines interpolation technique for two different combinations of clamped and simply supported boundary conditions at the other two edges. An algorithm for com- puting the solution of this differential equation is presented for the case of equal intervals. The effect of thermal gradient together with taper constants on the natural frequencies of vibration is illustrated for the first three modes of vibration.

5

Marangoni convection in a relatively hotter or cooler liquid layer with free boundaries

Gupta A. K., Shandil R. G.

International Journal of Applied Mechanics and Engineering

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2013

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Vol. 18, no. 2

581--588

EN

In this paper, we study the onset of cellular convection in a horizontal fluid layer heated from below, with a free-slip boundary condition at the bottom when the driving mechanism is surface tension at the upper free surface, in the light of the modified analysis of Banerjee et al. (Jour. Math. & Phys. Sci., 1983, 17, 603). This leads to a formulation of the problem which depends upon whether the liquid layer is relatively hotter or cooler. It is found that the phenomenon of surface tension driven instability problems should not only depend upon the Marangoni number which is proportional to the maintained temperature differences across the layer but also upon another parameter that arises due to variation in the specific heat at constant volume on account of the variations in temperature. Numerical results are obtained for the problem wherein the lower free boundary is perfectly thermally conducting.

6

Simultaneous analysis of six bioactive lignans in Phyllanthus species by reversed phase hyphenated high performance liquid chromatographic technique

Shanker K., Singh M., Srivastava V., Verma R. K., Gupta A. K., Gupta M. M.

Acta Chromatographica

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2011

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Vol. 23, no. 2

321--337

EN

An online-hyphenated high-performance liquid chromatography-photodiode array-mass spectrometry (HPLC-PDA-MS) analytical method was developed for the simultaneous determination of six lignans of therapeutic importance in four Phyllanthus spp. (P. amarus, P. maderaspatensis, P. urinaria, and P. virgatus). HPLC with monolithic reverse phase silica column (4.6 × 100 mm) and simple isocratic elution of methanol-water mixed with dioxane facilitated the separation of lignans of diverse nature such as diarylbutyrolactone, tetrahydrofuran, isomeric aryltetralin, and diarylbutane type for quantitative analysis. Targeted lignans viz. heliobuphthalmin lactone (1), virgatusin (2), hypophyllanthin (3), phyllanthin (4), nirtetralin (5), and niranthin (6) were confirmed unambiguously in four Phyllanthus species by their abundant molecular adduct ions, retention time, UV, and mass spectra as compared with those of reference compounds. Advantages and limitations of both detection techniques for qualitative (fingerprinting) and quantitative analysis of the above mentioned lignans in four Phyllanthus spp. are discussed. The method was validated following international guidelines. The described method can be utilized for assays and stability tests of P. amarus extracts as well as traditional Indian medicine based on Phyllanthus herb.

7

Vibration of non-homogeneous visco-elastic circular plate of linearly varying thickness in steady state temperature field

Gupta A. K., Kumar L.

Journal of Theoretical and Applied Mechanics

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2010

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Vol. 48 nr 1

255-266

EN

An analysis is presented for free vibration of a non-homogeneous visco-elastic circular plate with linearly varying thickness in the radial direction subjected to a linear temperature distribution in that direction. The governing differential equation of motion for free vibration is obtained by the method of separation of variables. Rayleigh-Ritz's method has been applied. Deflection, time period and logarithmic decrement corresponding to the first two modes of vibrations of a clamped non-homogeneous visco-elastic circular plate for various values of non-homogeneity parameter, taper constant and thermal gradients are obtained and shown graphically for the Voigt-Kelvin model.

PL

W pracy przedstawiono analizę drgań swobodnych niejednorodnej lepko- sprężystej płyty kołowej o liniowo zmiennej grubości w kierunku promieniowym i poddanej polu temperatury o liniowym rozkładzie w tym kierunku. Konstytutywne równanie różniczkowe ruchu dla drgań swobodnych otrzymano poprzez separację zmiennych. Zastosowano metodę Rayleigha-Ritza. W wyniku analizy wyznaczono ugięcie płyty, okres drgań i logarytmiczny dekrement tłumienia dwóch pierwszych postaci drgań dla warunków brzegowych odpowiadających zamocowaniu niejednorodnej płyty na brzegu. Wyniki przedstawiono graficznie w funkcji parametru niejednorodności, stałej zawężania grubości oraz zmiennego gradientu temperatury przy wykorzystaniu modelu reologicznego Kelvina-Voigta opisującego właściwości materiału płyty.

8

Free vibration of clamped visco-elastic rectangular plate having bi-direction exponentially thickness variations

Gupta A. K., Khanna A., Gupta D. V.

Journal of Theoretical and Applied Mechanics

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2009

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Vol. 47 nr 2

457-471

EN

Free vibration of a clamped visco-elastic rectangular plate having bi-direction exponentially varying thickness has been analysed on the basis of classical plate theory. For visco-elastic materials, basic elastic and viscous elements are combined. We have assumed the Kelvin model for visco-elasticity, which is a combination of elastic and viscous elements connected in parallel. Here, the elastic element is constituted by a spring and the viscous one is a dashpot. An approximate but quite convenient frequency equation is derived by using the Rayleigh-Ritz technique. Logarithmic decrement, time period and deflection (at two different instant of time) for the first two modes of vibration and for various values of the taper constants and aspect ratio are calculated. Comparison studies have been carried out with bi-linearly thickness variation to establish the accuracy and versatility of the method.

PL

W pracy rozważono problem swobodnych drgań utwierdzonej lepkosprężystej prostokątnej płyty o dwukierunkowo wykładniczo zmiennej grubości na podstawie klasycznej teorii płyt. Uwzględniono lepkosprężyste właściwości materiału płyty, bazując na podstawowych elementach reologicznych. Przyjęto model Kelvina, tj. równoległą kombinację elementu sprężystego i wiskotycznego. Równanie ruchu płyty rozwiązano metodą Rayleigha-Ritza, otrzymując przybliżoną, ale wygodną do analizy postać wyrażenia w dziedzinie częstości. Następnie wyznaczono wartość logarytmicznego dekrementu tłumienia, okresu drgań i ugięcia płyty dla dwóch pierwszych funkcji własnych dla różnych parametrów opisujących zmienną grubość i wymiary zewnętrzne płyty. Wyniki obliczeń przy uwzględnieniu zmiany grubości płyty porównano z dotychczasowymi rezultatami badań w celu potwierdzenia dokładności i uniwersalności metody.