Surface temperature determination from borehole measurements: a finite slab model

Authors: Trần Thị Lệ, Đinh Ngọc Thanh, Pham Huu Tri,

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Publisher, magazine: ,

Publication year: 1995

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Abstract

The authors consider the problem of determining the temperature at one surface of a slab of finite thickness from temperatures measured at interior points. The problem is reduced to solving a Cauchy problem for the heat equation, which is then regularized using the Tikhonov method. Error estimastes are given.

Tags: Surface temperature determination, borehole measurement, Cauchy problem, heat equation, Tikhonov regularization.