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Assessing the Hydraulic Conductivity Anisotropy and Skin-Effect Based on Data of Slug Tests in Partially Penetrating Wells

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Abstract

A semianalytic and approximate analytical solution is given to the problem of slug test in a partially penetrating well in a confined or unconfined anisotropic aquifer. An asymptotic solution is given to the problem of slug test in a partially penetrating well in an unconfined aquifer. The latter solution, unlike the semiempiric Bouwer–Rice method, takes into account hydraulic conductivity anisotropy and skin effect. Levenberg–Marquardt algorithm was used to develop a method for determining hydraulic conductivity anisotropy and skin effect based on data of slug tests in partially penetrating wells in confined or unconfined aquifer.

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REFERENCES

  1. Vasilevskii, V.N., Umrikhin, I.D., Kamenetskii, S.G., Saitov, A.U., and Kuz’min, V.M., Vremennoe rukovodstvo po issledovaniyu skvazhin “ekspress-metodami” (Provisional Guide on Studying Wells by Slug Tests), Moscow: VNII, 1964.

  2. Verigin, N.N., Vasil’ev, S.V., Sarkisyan, V.S., and Sherzhukov, B.S., Gidrodinamicheskie i fiziko-khimicheskie svoistva gornykh porod (Hydrodynamic and Physicochemical Properties of Rocks), Moscow: Nedra, 1977.

  3. Gamayunov, N.I. and Sherzhukov, B.S., Field determination of granite permeability, Inzh.-Fiz. Zh., 1961, vol. 4, no. 10, pp. 71–78.

    Google Scholar 

  4. Kamenetskii, S.G., Two problems of the theory of flow of an elastic fluid in an elastic porous medium, in Tr. VNII. Razrabotka neftyanykh mestorozhdenii i podzemnaya gidrodinamika (Trans. VNII. Development of Oil Deposits and Subsurface Hydrodynamics), Moscow: Gostoptekhizdat, 1959, no. 19, pp. 134–145.

  5. Kamenetskii, S.G. and Saitov, A.U., Slug test for studying piezometric nonflowing wells, Neftepromysl. Delo, 1963, no. 8, pp. 8–11.

  6. Krylov, A.P., Glogovskii, M.M., Mirchink, M.F., Nikolaevskii, N.M., and Charnyi, I.A., Nauchnye osnovy razrabotki neftyanykh mestorozhdenii (Scientific Principles of Oil Deposit Development), Moscow: Gostoptekhizdat, 1948.

  7. Lekhov, S.M. and Lekhov, M.V., Methods for calculating and reasons of erroneous results of slug tests in well, Inzh. Izysk., 2017, no. 2, pp. 38–50.

  8. Morozov, P.E., Determination of the reservoir parameters by slug test in a horizontal well, Neftepromysl. Delo, 2018, no. 11, pp. 36–42.

  9. Morozov, P.E., Semianalytical solution for unsteady fluid flow to a partially penetrating well, Uch. Zap. Kazan. Gos. Univ. Ser. Fiz.-Mat. Nauki, 2017, vol. 159, Book 3, pp. 340–353.

  10. Khein, A.L., Transient fluid flow toward a well with an open bottom, partially penetrating the bed, Dokl. Akad. Nauk SSSR, 1953, vol. 91, no. 3, pp. 467–470.

    Google Scholar 

  11. Sherzhukov, B.S., Determining the resistance of partially penetrating wells (skin-effect) based on data of instantaneous filling or pumping and pumping with constant rate, in Tr. lab. inzhenernoi gidrogeol. VNII VODGEO (Trans. Lab. Eng. Hydrogeol.), Moscow: Stroiizdat, 1972, issue 6, pp. 193–209.

  12. Sherzhukov, B.S. and Gamayunov, N.I., Method for estimating the hydrogeological parameters of aquifers when tested by a pilot well, Izv. Vyssh. Uchebn. Razved., Geol. Razved., 1964, no. 5, pp. 105–111.

  13. Bouwer, H. and Rice, R.C., A slug test for determining hydraulic conductivity of unconfined aquifers with completely or partially penetrating wells, Water Resour. Res., 1976, vol. 12, no. 3, pp. 423–428.

    Article  Google Scholar 

  14. Butler, J.J., Jr., The Design, Performance, and Analysis of Slug Tests, Boca Raton, FL: Lewis Publishers, 1998.

    Google Scholar 

  15. Chang, C.C. and Chen, C.S., An integral transform approach for a mixed boundary problem involving a flowing partially penetrating well with infinitesimal well skin, Water Resour. Res., 2002, vol. 38, no. 6, pp. 1071–1077.

    Article  Google Scholar 

  16. Cooper, H., Bredehoeft, J.D. and Papadopulos, I.S., Response of a finite-diameter well to an instantaneous charge of water, Water Resour. Res., 1967, vol. 3, no. 1, pp. 263–269.

    Article  Google Scholar 

  17. Dougherty, D. and Babu, D., Flow to a partially penetrating well in a double-porosity reservoir, Water Resour. Res., 1984, vol. 20, no. 8, p. 1116–1122.

    Article  Google Scholar 

  18. Hantush, M.S., Hydraulics of wells, in Advances in Hydroscience, Chow, V.T., Ed., N.Y.: Acad. Press, 1964, vol. 1, pp. 281–432.

    Google Scholar 

  19. Hyder, Z. and Butler, J.J., Jr., Slug tests in unconfined formations: an assessment of the Bouwer and Rice technique, Ground Water, 1995, vol. 33, no. 1, pp. 16–22.

    Article  Google Scholar 

  20. Hyder, Z., Butler, J.J., Jr., McElwee, C.D., and Liu, W., Slug tests in partially penetrating wells, Water Resour. Res., 1994, vol. 30, no. 11, pp. 2945–2957.

    Article  Google Scholar 

  21. Paradis, D. and Lefebvre, R., Single-well interference slug tests to assess the vertical hydraulic conductivity of unconsolidated aquifers, J. Hydrol., 2013, vol. 478, pp. 102–118.

    Article  Google Scholar 

  22. Peres, A.M., Omur, M., and Reynolds, A.C., A new analysis procedure for determining aquifer properties from slug test data, Water Resour. Res., 1989, vol. 25, no. 7, pp. 1591–1602.

    Article  Google Scholar 

  23. Perina, T. and Lee, T.C., General well function for pumping from a confined, leaky, or unconfined aquifer, J. Hydrol., 2006, vol. 317, nos. 3–4, pp. 239–260.

    Article  Google Scholar 

  24. Ramey, H.J., Jr. and Agarwal, R.G., Annulus unloading rates as influenced by wellbore storage and skin effect, SPE J., 1972, vol. 12, no. 5, pp. 253–462.

    Google Scholar 

  25. Rushing, J.A., A semianalytical model for horizontal well slug testing in confined aquifers, PhD Dissertation, Texas: Texas A&M Univ., 1997, 133 p.

  26. Sageev, A., Slug test analysis, Water Resour. Res., 1986, vol. 22, no. 8, pp. 11 323–1333.

    Article  Google Scholar 

  27. Yeh, H.D., Chen, Y.J., and Yan, S.Y., Semi-analytical solution for a slug test in partially penetrating wells including the effect of finite-thickness skin, Hydrol. Processes, 2008, vol. 22, no. 18, pp. 3741–3748.

    Article  Google Scholar 

  28. Zlotnik, V.A., Interpretation of slug and packer tests in anisotropic aquifers, Ground Water, 1994, vol. 32, no. 5, pp. 761–766.

    Article  Google Scholar 

  29. Zlotnik, V.A., Goss, D., and Duffield, G.M., General steady-state shape factor for a partially penetrating well, Ground Water, 2010, vol. 48, no. 1, pp. 111–116.

    Article  Google Scholar 

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Correspondence to P. E. Morozov.

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Translated by G. Krichevets

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Morozov, P.E. Assessing the Hydraulic Conductivity Anisotropy and Skin-Effect Based on Data of Slug Tests in Partially Penetrating Wells . Water Resour 47, 430–437 (2020). https://doi.org/10.1134/S0097807820030124

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  • DOI: https://doi.org/10.1134/S0097807820030124

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