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   <subfield code="a">Thermal focusing in complex stratigraphic regions: Lithology and porosity effects, and equivalent vertical and horizontal thermal conductivities</subfield>
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   <subfield code="a">Thermal focusing or defocusing by spatial variations in thermal conductivity caused by lithology and porosity fluctuations impacts the mean vertical geothermal gradient, localized fluctuations in temperature, and lateral bending of heat flow lines. Using mean field renormalization techniques, in which spatial fluctuations are treated as being randomly distributed around slowly varying mean values, estimates are given of the relative importance of lithologic and porosity variations in influencing thermal focusing. It is shown that, except for massive halite and/or evaporate variations, nearly all other geological situations can be viewed as having only a slowly varying mean lithology: fluctuations in porosity dominate thermal focusing. The mean vertical geothermal gradient is shown to be decreased by roughly 5-10% (with a maximum possible decrease of 25%) by the presence of porosity variations, relative to the mean gradient that exists in the same average medium but without fluctuations in porosity. The equivalent mean vertical thermal conductivity is shown to be increased by a maximum of about 12% relative to the non-fluctuating medium case. Root mean square temperature fluctuations vary in the typical range of 3-30°C depending on the correlation length scale of the porosity fluctuations. A correlation length of 1 km produces temperature fluctuations of around 3°C. Lateral bending of heat flux lines is implied by the thermal focusing; estimates suggest a root mean square bending angle of around 8-10°, with a corresponding mean equivalent lateral thermal conductivity of around 14% of the equivalent vertical thermal conductivity. These values are sufficiently large to suggest that fluctuations in stratigraphic sequences can lead to compartmentalized domains of juxtaposed hotter and cooler sedimentary volumes, thereby impacting the regimes of hydrocarbon generation. A simple estimate suggests that the depth of the top of the oil window may be increased by up to 0.5 km by such considerations. Effects due to anisotropic thermal conductivities, temperature dependence of thermal conductivity, and anisotropic correlated behavior of porosity and lithology fluctuations, need to be investigated to assess their significance.</subfield>
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