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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  

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body--uriencoded--%7B \bf j%7D(x,y,z) = \%7B j_x, \, j_y, \, j_z \%7D
 and Thermal Conductivity 
LaTeX Math Inline
body--uriencoded--\lambda_e(%7B\bf r%7D)
 
to be homogeneous across location area: 


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anchor1
alignmentleft
{\bf j}({\bf r}) ={\bf j}(x,y,z)={ \bf j}(z)



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anchor1
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\lambda_e({\bf r}) =\lambda_e(z)


where 

LaTeX Math Inline
bodyz
 is true vertical depth.

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This simplifies the procedure of modelling the Geothermal Temperature Field 

LaTeX Math Inline
body--uriencoded--%7B \bf j%7D(x,y,z) = \%7B 0, \, 0 , \, j_z \%7D
 along  to a modelling of Constant Areal Geothermal Temperature Profile  along a given wellbore trajectory.

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