Motivation
In many subsurface applications which require the knowledge of subsurface temperature distributions the land area of the study is small enough to consider the subsurface heat flux
| LaTeX Math Inline |
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| body | --uriencoded--%7B \bf j%7D(x,y,z) = \%7B j_x, \, j_y, \, j_z \%7D |
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to be independent on areal location: | LaTeX Math Inline |
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| body | --uriencoded--%7B \bf j%7D(x,y,z) =%7B \bf j%7D(z) |
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and vanishing lateral components: | LaTeX Math Inline |
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| body | --uriencoded--%7B \bf j%7D(x,y,z) = \%7B j_x = 0, \, j_y = 0 , \, j_z(z) \%7D |
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.Normally there are no heat sources within a subsurface volume under study other than Earth's Heat Flux which means that true vertical component
| LaTeX Math Inline |
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| body | j_z(z) = j_z = \rm const |
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is constant along
true vertical direction.
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