Skip to main content
Log in

Estimating saturation exponent from NMR logging

  • Original Paper
  • Published:
Arabian Journal of Geosciences Aims and scope Submit manuscript

Abstract

A new interpretation of the relationship between the saturation exponent (n) and the water saturation (S w ) of a reservoir rock is presented. Based on the capillary theory and Purcell equation, the relationship between resistivity index (I) and the permeability (k), water-phase permeability (k w ) has been obtained. By combining SDR model, such relationship can be transferred into a novel model of probing the saturation exponent under variable saturation conditions. Based on the theoretical derivation, NMR experimental measurements of core examples were implemented to testify the reliability brought by this development. Laboratory measurements of transverse relaxation were carried out on core samples from a formation in the Middle East. NMR experimental measurements were made with 50 samples fully water saturated. Measurements at various air/water saturation (i.e., at residual water saturation) were made on 16 samples among them obtained by different centrifuging speeds. The experimental results show that the calculated saturation exponent values and water saturations follow a power law relationship which is in accordance with researches have been published about that n is not a constant but a variable parameter dependent on water saturation, quantitatively. This study has inferred the quantitative relationship between n and S w through NMR information firstly.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

References

  • Brown GA (1988) The formation porosity exponent-the key to improved estimates of water saturation in shaly sands. In: Transactions of the SPWLA 29th Annual Logging Symposium. San Antonio, Paper AA

  • Carman PC (1937) Fluid flow through granular beds. Trans-Inst Chem Eng 15:150–166

    Google Scholar 

  • Carman PC (1948) Some physical aspects of water flow in porous media. Discuss Faraday Soc 3:72–77

    Article  Google Scholar 

  • Carman PC (1956) Flow of gases through porous media. Butterworths Scientific Publications, London

    Google Scholar 

  • Diederix KM (1982) Anomalous relationships between resistivity index and water saturations in the Rotliegend sandstone In: Transactions of the SPWLA 23th Annual Logging Symposium. Netherlands, Paper X

  • Donaldson EC, Siddiqui TK (1989) Relationship between the Archie saturation exponent and wettability. SPE Form Eval 4(3):359–362

    Article  Google Scholar 

  • Dunlap HF, Garrouch A, Sharma MM (1991) Effects of wettability pore geometry and stress on electrical conduction in fluid-saturated rocks. Log Anal 32(5):511–526

    Google Scholar 

  • Helba AA, Sahimi M, Scriven LE, Davis HT (1992) Percolation theory of two-phase relative permeability. SPE Reserv Eng 7(1):123–132

    Article  Google Scholar 

  • Herrick DC (1988) Conductivity models pore geometry and conduction mechanisms. In: Transactions of the SPWLA 29th Annual Logging Symposium. San Antonio, Paper D

  • Herrick DC, Kennedy WD (1993) Electrical efficiency: a pore geometric model for the electrical properties of rocks. In: Transactions of the SPWLA 34th Annual Logging Symposium. Calgary, Paper HH

  • Kenyon WE (1997) Petrophysical principles of applications of NMR logging. Log Anal 38(2):21–43

    Google Scholar 

  • Kenyon WE, Day PI, Straley C, Willemsen JF (1988) A three-part study of NMR longitudinal relaxation properties of water-saturated sandstones. SPE Form Eval 3(3):622–636

    Article  Google Scholar 

  • Khelil C (1971) Analysis of errors in logging parameters and their effects on calculating water saturation. In: Transactions of the SPWLA 12th Annual Logging Symposium. Dallas, Paper A

  • Kozeny J (1927) Über kapillare Leitung des Wassers im Boden:(Aufstieg, Versickerung und Anwendung auf die Bewässerung). Akad Wiss Wien 136a:271–306

    Google Scholar 

  • Kumar M, Senden TJ, Sheppard AP, Arns CH, Knackstedt MA (2011) Probing the Archie’s exponent under variable saturation conditions. Petrophysics 52(2):124–134

    Google Scholar 

  • Küntz M, Mareschal JC, Lavallée P (2000) Numerical estimation of electrical conductivity in saturated porous media with a 2-D lattice gas. Geophysics 65(3):766–772

    Article  Google Scholar 

  • Liu XJ, Zhou GY, Cheng J, Dai CP (2007) Study on pore structure of tight sand based on resistivity. Nat Gas Ind 27(1):41–43

    Google Scholar 

  • Pape H, Clauser C, Iffland J (1999) Permeability prediction based on fractal pore-space geometry. Geophysics 64(5):1447–1460

    Article  Google Scholar 

  • Purcell WR (1949) Capillary pressures-their measurement using mercury and the calculation of permeability therefrom. J Petrol Technol 1(2):39–48

    Article  Google Scholar 

  • Salem HS (1994) The electric and hydraulic anisotropic behavior of the Jeanne d’Arc basin reservoirs. J Petrol Sci Eng 12(1):49–66

    Article  Google Scholar 

  • Straley C, Morriss CF, Kenyon WE (1991) NMR in partially saturated rocks: laboratory insights on free fluid index and comparison with borehole logs. In: Transactions of the SPWLA 32nd Annual Logging Symposium. Midland, Paper CC

  • Suman RJ, Knight RJ (1997) Effects of pore structure and wettability on the electrical resistivity of partially saturated rocks—a network study. Geophysics 62(4):1151–1162

    Article  Google Scholar 

  • Swanson BF (1985) Microporosity in reservoir rocks-its measurement and influence on electrical resistivity. In: Transactions of the SPWLA 26th Annual Logging Symposium. Dallas, Paper F

  • Tao G, Yue WZ, Li BT, Fang CL (2004) Electrical transport properties of fluids saturated porous rocks by 2D lattice gas automata. In: Transactions of SPE Asia Pacific Oil and Gas Conference and Exhibition. Pert, Paper SPE 88535

  • Wang YM, Sharma MM (1988) A network model for the resistivity behavior of partially saturated rocks. In: Transactions of the SPWLA 29th Annual Logging Symposium. San Antonio, Paper G

  • Wang L, Mao ZQ, Shi YJ, Cheng YM, Song Y (2014) A novel model of predicting Archie’s cementation factor from nuclear magnetic resonance (NMR) logs in low permeability reservoirs. J Earth Sci 25(1):183–188

    Article  Google Scholar 

  • Worthington PF, Pallatt N, Toussaint-Jackson JE (1989) Influence of microporosity on the evaluation of hydrocarbon saturation. SPE Form Eval 4(2):203–209

    Article  Google Scholar 

  • Yue WZ (2003) Studies on electrical transport properties of porous media and fluid saturation by 2D lattice gas automation. PhD thesis, China University of Petroleum, Beijing, China

Download references

Acknowledgments

This study was supported by the National Science and Technology Major Project of China (Grant No. 2011ZX05031) (Key Technology of Exploration and Development of Large Projects of Oil & Gas Rich Fields in the Middle East and Central Asia). The authors also would like to thank the reviewers and editors for their attention and valuable comments to improve the manuscript quality.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Dan Huang.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Huang, D., Sima, L., Wu, F. et al. Estimating saturation exponent from NMR logging. Arab J Geosci 8, 6771–6778 (2015). https://doi.org/10.1007/s12517-014-1768-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12517-014-1768-1

Keywords

Navigation