Determining the thermal diffusivity of sediments using the fractional nonlocal heat conduction equation

Autor:	R. P. Meilanov, E. N. Akhmedov, M. R. Shabanova, R. R. Meilanov
Rok vydání:	2015
Předmět:	Quantum nonlocality Materials science Distribution (mathematics) Mass diffusivity General Earth and Planetary Sciences Thermodynamics Heat equation Depth dependence Relativistic heat conduction Thermal conduction Thermal diffusivity General Environmental Science
Zdroj:	Izvestiya, Physics of the Solid Earth. 51:80-86
ISSN:	1555-6506 1069-3513
DOI:	10.1134/s106935131405005x
Popis:	Based on the heat conduction equation with fractional-order derivatives and the experimental measurements of temperature distribution in the upper layers of the Earth, the depth dependence of thermal diffusivity is studied at different values of the parameters of nonlocality in time and along the coordinates. It is shown that thermal diffusivity increases with depth, and the values of thermal diffusivity observed in the experiments coincide with the theoretical predictions provided by the solution of the nonlocal heat-conduction equation that allows for the memory effects in fractional-order time derivatives.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::d0b717916cbf7e01f0780b80cc874932 https://doi.org/10.1134/s106935131405005x Zobrazit plný text záznamu Full text from SpringerLink