(4)Measurement and validation of tsunami Eigen values for the various water wave conditions
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Sudhir Kumar Chaturvedia,b,∗, Ugur Guvenb , Pankaj Kumar Srivastavac
a Department of Aerospace Engineering, University of Petroleum and Energy Studies, Dehradun 248007, India
b Department of International Affairs, University of Petroleum and Energy Studies, Dehradun 248007, India
c Department of Petroleum Engineering & Earth Sciences, University of Petroleum and Energy Studies, Dehradun 248007, India
Received 12 June 2019; received in revised form 6 August 2019; accepted 7 August 2019
Available online 16 August 2019
Abstract
This paper proposes the mathematical model to investigate how to compute and analyze the tsunami wave parameters and the retrieval
of its early warning using remote sensing technique to improve the detection rate. The different methods available for the evaluation of the
tsunami detection systems are also introduced. This research work is to compute and analyze the tsunami wave parameters such as Eigen
functions in deep, intermediate and shallow water regions.
The computational and algorithmic analysis of tsunami wave parameters are achieved in three steps: the first step is to calculate the
earthquake fault parameters such as length, width, area and displacement from the epicenter, which corresponds to the effect of its variation
with respect to the earthquake magnitude. The variation of each fault parameters have been measured and recorded out over the certain
moment of magnitudes (M). This shows smaller values as compared to the earthquake magnitude M9.5 at which all the parameters shows
very large response. The second step involves the measurements of water wave angular frequency in deep, intermediate and shallower region
of ocean. The values of angular frequencies in deep water shows the lesser response as compared to other two water conditions because,
in deep water the angular velocity of water particles travels with the lesser speed as compared to the shallower region as per Airy’s wave
theory. The simulation results show the angular velocity in Deep Ocean is very less, moderate in the intermediate water and very high on
the coastal region. It indicates the higher impact on coastal region. The third step involves the simulation study of measurement of tsunami
Eigen functions such as orbital velocity, acceleration, wave potential in deep, intermediate and shallower water regions. The simulation
result shows the resultant orbital velocity and accelerations in deep, intermediate and shallow water regions provides the similar response as
angular velocity due to same proportion of the water displacement from deep to coastal regions. Hence the dynamic forces are very high
approximately 1 km from the beaches. Once the Tsunami waves approaches to the beach, wave height increases whereas particle acceleration
decreases because near the coast, due to geological structure of the earth’s surface, inertia and gravity forces increase to the extreme limits,
while particle acceleration and velocity values reach close to zero. The wave potential Eigen function has also been plotted and measured
with respect to the water depth condition and the similar response is obtained in the simulation result. The validation of each result has also
been presented with the standard simulated data, which shows the results as less than 10% of the accuracy.
© 2019 Shanghai Jiaotong University. Published by Elsevier B.V.
This is an open access article under the CC BY-NC-ND license. (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Keywords: Tsunami Eigen functions; Monitoring; Detection.