Quantitative reconstruction of thermal and dynamic characteristics of lava flow from surface thermal measurements / Korotkii Alexander,Kovtunov Dmitry,Ismail-Zadeh Alik,Tsepelev Igor,Melnik Oleg // GEOPHYSICAL JOURNAL INTERNATIONAL. - 2016. - V. 205, l. 3. - P. 1767-1779.

ISSN/EISSN:

0956-540X / 1365-246X

Type:

Article

Abstract:

We study a model of lava flow to determine its thermal and dynamic characteristics from thermal measurements of the lava at its surface. Mathematically this problem is reduced to solving an inverse boundary problem. Namely, using known conditions at one part of the model boundary we determine the missing condition at the remaining part of the boundary. We develop a numerical approach to the mathematical problem in the case of steady-state flow. Assuming that the temperature and the heat flow are prescribed at the upper surface of the model domain, we determine the flow characteristics in the entire model domain using a variational (adjoint) method. We have performed computations of model examples and showed that in the case of smooth input data the lava temperature and the flow velocity can be reconstructed with a high accuracy. As expected, a noise imposed on the smooth input data results in a less accurate solution, but still acceptable below some noise level. Also we analyse the influence of optimization methods on the solution convergence rate. The proposed method for reconstruction of physical parameters of lava flows can also be applied to other problems in geophysical fluid flows.

Author keywords:

Numerical solutions; Inverse theory; Numerical approximations and analysis; Effusive volcanism LARGE-SCALE MINIMIZATION; DATA ASSIMILATION; QUASI-NEWTON; CONVERGENCE CONDITIONS; ASCENT METHODS; DIFFUSION; ALGORITHMS; CONVECTION; EVOLUTION; STORAGE

DOI:

10.1093/gji/ggw117

Web of Science ID:

ISI:000376380000030

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	JUN
Publisher	OXFORD UNIV PRESS
Address	GREAT CLARENDON ST, OXFORD OX2 6DP, ENGLAND
Language	English
EISSN	1365-246X
Keywords-Plus	LARGE-SCALE MINIMIZATION; DATA ASSIMILATION; QUASI-NEWTON; CONVERGENCE CONDITIONS; ASCENT METHODS; DIFFUSION; ALGORITHMS; CONVECTION; EVOLUTION; STORAGE
Research-Areas	Geochemistry \& Geophysics
Web-of-Science-Categories	Geochemistry \& Geophysics
Author-Email	Alik.Ismail-Zadeh@kit.edu
ResearcherID-Numbers	Ismail-Zadeh, Alik/C-3693-2013 Melnik, Oleg/E-4224-2010
ORCID-Numbers	Melnik, Oleg/0000-0002-4655-5269
Funding-Acknowledgement	Russian Science Foundation (RSF) {[}14-17-00520]
Funding-Text	We thank S. Fedotov and A. Harris for discussions on lava flows and Landsat measurements, and two reviewers and the Editor for their constructive comments, which improved the initial manuscript. This research was supported by the grant of the Russian Science Foundation (RSF project 14-17-00520).
Number-of-Cited-References	51
Usage-Count-Last-180-days	2
Usage-Count-Since-2013	11
Journal-ISO	Geophys. J. Int.
Doc-Delivery-Number	DM5HX