*Modeling of Thermal Conductivity in Gas Field Rocks DOI: http://dx.doi.org/10.5772/intechopen.106622*


#### **Table 3.**

*Differences between the thermal conductivity of rocks drilling and density (determined values and values in the literature).*

The cores (rocks) collected from the oil deposits in the Moesic platform of Romania were subjected to a heat transfer by measuring the temperature variations on each side of the rocks and crystals.

The density was achieved by weighing and measuring the volume, the determination error being 0.1% g/cm<sup>3</sup> .

The porosity was determined by drying the cores and filling them with helium (according to Boyle-Marriote's law pV = const.) in a controlled closed tank.

The data measured in the laboratory are shown in **Tables 1** and **2**.

In order to model the geothermal structure of the analyzed deposit, we created numerical equations that best describe the variation of thermal conductivity depending on the density and porosity of the constituent rocks.

The equation form is:

$$\mathbf{y} = \mathbf{a}\mathbf{x}^2 + \mathbf{b}\mathbf{x} + \mathbf{c} \tag{19}$$

where a, b, and c are experimentally determined coefficients.

The absolute error of the determined values are compared to the values from the specialized literature we determined with the relation (**Table 3**):

$$AE = \frac{\mathcal{X}\_{modules} - \mathcal{X}\_{interaction}\\_ppers}{\mathcal{X}\_{modules}}\tag{20}$$

The error is a maximum of 0,5 in conductivity, in the case of shale clay, due to the fact that it was not pure.

The density errors are large because the chosen cores were not pure, being impure with other materials.
