Schematic diagram showing a borehole under drilling conditions. T in and T out are the mud temperatures at the inlet and outlet, respectively. T dis and T ∞ are the disturbed and undisturbed formation temperatures, respectively. Thermal disturbance shapes (positive and 

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... and petroleum industries require deep drilled wells for the exploitation of their endogen resources. When the geothermal and petroleum wells are drilled and completed, the distribution of temperatures along their borehole axes and the surrounding formations vary as a result of the circulation of the drilling mud (Santoyo 1997, Santoyo et al 2000, Kutasov and Eppelbaum 2009, Kutasov and Eppelbaum 2010, Espinoza-Ojeda et al 2011). A schematic diagram of a borehole under drilling conditions is depicted in figure 1. Thermal disturbances (positive and negative) due to drilling mud circulation are also schematically shown in the upper and lower sections of a borehole (Stulc 1995). Temperature changes are disturbed by the time of drilling mud circulation, the temperature difference between the drilling mud and formation, the wellbore radius, the thermophysical properties of the system (wellbore, formation and fluid reservoir), and the drilling technology used (Kutasov and Eppelbaum 2010). Given these factors, the ...