HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Journal articles

Quantitative reconstruction of thermal and dynamic characteristics of lava flow from surface thermal measurements

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.
Document type :
Journal articles
Complete list of metadata

https://hal-insu.archives-ouvertes.fr/insu-03581657
Contributor : Nathalie Pothier Connect in order to contact the contributor
Submitted on : Sunday, February 20, 2022 - 2:55:23 PM
Last modification on : Tuesday, February 22, 2022 - 3:36:01 AM
Long-term archiving on: : Saturday, May 21, 2022 - 6:12:29 PM

File

ggw117.pdf
Publisher files allowed on an open archive

Licence


Distributed under a Creative Commons Attribution 4.0 International License

Identifiers

Citation

Alexander Korotkii, Dmitry Kovtunov, Alik Ismail-Zadeh, Igor Tsepelev, Oleg Melnik. Quantitative reconstruction of thermal and dynamic characteristics of lava flow from surface thermal measurements. Geophysical Journal International, Oxford University Press (OUP), 2016, 205, pp.1767-1779. ⟨10.1093/gji/ggw117⟩. ⟨insu-03581657⟩

Share

Metrics

Record views

42

Files downloads

4