The Thomeer Model (Thomeer (1960)) is designed for Mercury Intrusion Capillary Pressure (MICP) experiments and predicts the unresolved porosity, a G-shape factor, and the displacement pressure.

The saturation of the non-wetting phase is described by the exponential function:

The parameters (Pore Geometric Shape Factor), (Displacement Pressure) and (Displacement Saturation) are fitted from the simulated capillary pressure curve.

For Relative Permeability computations an LET Model (Lomeland and Ebeltoft) can be used to approximate relative permeability curves.

The LET-type approximation is described by 3 parameters L, E, and T. The correlation for water relative permeability with water injection is thus:

and

for the oil relative permeability, where:

is the normalized water saturation value . Only (irreducible water saturation), (irreducible oil saturation), (maximal oil permeability), and (maximal water permeability) have direct physical meaning.

The parameters L, E and T are empirical. The parameter L describes the lower part of the curve. The parameter T describes the upper part (or the top part) of the curve in a similar way that the L-parameter describes the lower part of the curve. The parameter E describes the position of the slope (or the elevation) of the curve.

The Corey correlations of the relative permeability for oil and water are

and

The empirical parameters and are called Corey exponent.

When computing the Relative Electrical Conductivity in the Resistivity Index command the usage of the Thin Film Model can be enabled. This is recommended when the solid is strongly wetting for the displaced fluid (e.g. Water (Brine)) and therefore the displaced fluid would leave a thin film on the solid surface. Another condition would be that the thin film still has a significant non-zero conductivity and the invading fluid has a very low conductivity. Without modelled thin film, the electrical conductivity would suddenly drop to zero when the voxel connectivity is lost.

With this feature, a thin film of displaced fluid, which is conductive, is added between the solid and the invading fluid. This film has a thickness which is much smaller than the voxel length. Thus, the thin film is modelled as mixed (porous) voxel of displaced fluid / invading fluid and displaced fluid / solid. The thin film allows the previous non-zero conductivity to be maintained.

The new conductivities and of the thin film porous voxels at the solid boundary and invading fluid is determined by the following formula:

where is the conductivity of the displaced fluid (e.g., 5 S/m), is the conductivity of the solid, is the conductivity of the invading fluid (e.g., 0 S/m), is the voxel length and is the thickness of the thin film (e.g., 5 nm).