PetrophysicsResistivity Logs

Arps Formation Water Resistivity Temperature Correction Formula

R_{w2}=R_{w1}\frac{T_{1F}+6.77}{T_{2F}+6.77}

Arps Formation Water Resistivity Temperature Correction calculates formation water resistivity at target temperature for resistivity logs workflows in petrophysics.

Calculate

How engineers use this formula

Use this formula when the listed inputs (R_w1, T_1F, T_2F) are known and the assumptions behind the cited resistivity logs relationship match the engineering case being checked.

Assumptions

Input values are representative for the well, reservoir, fluid, or equipment case being evaluated.
The declared units match the field-unit constants used in the formula.
The cited formula applies to the selected petroleum engineering workflow.

Limitations

The calculation does not replace a full engineering model or operating procedure.
Accuracy depends on the source correlation, assumptions, input quality, and unit consistency.

Common mistakes

Mixing unit systems without converting the inputs.
Using default example values as field recommendations.
Applying the formula outside the source assumptions.

Default example

Using the default inputs, R_w2 equals 0.052159 ohm m.

R_w1ohm m

0.1

T_1FdegF

T_2FdegF

150

Inputs

R_w1

ohm m

Formation Water Resistivity at Initial Temperature

T_1F

degF

Initial Temperature

T_2F

degF

Target Formation Temperature

Outputs

R_w2

ohm m

Formation Water Resistivity at Target Temperature

R_w1

ohm m

Formation Water Resistivity at Initial Temperature

Source and review

reviewed

The Effect of Temperature on the Density and Electrical Resistivity of Sodium Chloride Solutions, Arps, J.J. (1953)

Arps, J.J. 1953. The Effect of Temperature on the Density and Electrical Resistivity of Sodium Chloride Solutions; Aptian Technical Rw vs. Temperature crossplot notes.

Source