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Non-NaCl Static Self Potential from Ion Activities Formula

Essp=Klog10(aNa+(aCa+aMg)0.5aNam+(aCam+aMgm)0.5)E_{ssp}=-K\log_{10}\left(\frac{a_{Na}+(a_{Ca}+a_{Mg})^{0.5}}{a_{Nam}+(a_{Cam}+a_{Mgm})^{0.5}}\right)

Non-NaCl Static Self Potential from Ion Activities calculates static self potential for electrical properties workflows in petrophysics.

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How engineers use this formula

Use this formula when the listed inputs (K, a_Na, a_Ca, a_Mg, a_Nam, a_Cam, a_Mgm) are known and the assumptions behind the cited electrical properties 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, E_ssp equals -0.762434 mV.

KmV

70

a_Nadimensionless

0.08

a_Cadimensionless

0.01

a_Mgdimensionless

0.005

a_Namdimensionless

0.12

a_Camdimensionless

0.004

a_Mgmdimensionless

0.002

Inputs

K

mV

SP Equilibrium Constant

a_Na

dimensionless

Activity of Sodium Ions in Formation Water

a_Ca

dimensionless

Activity of Calcium Ions in Formation Water

a_Mg

dimensionless

Activity of Magnesium Ions in Formation Water

a_Nam

dimensionless

Activity of Sodium Ions in Mud Filtrate

a_Cam

dimensionless

Activity of Calcium Ions in Mud Filtrate

a_Mgm

dimensionless

Activity of Magnesium Ions in Mud Filtrate

Outputs

E_ssp

mV

Static Self Potential

K

mV

SP Equilibrium Constant

Source and review

reviewed

Theory, Measurement, and Interpretation of Well Logs, Bassiouni, Z. (1994)

Bassiouni, Z. 1994. Theory, Measurement, and Interpretation of Well Logs. SPE Textbook Series Vol. 4, Chapter 6, Page 135.

Source

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