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On Growth and Form pp 203–210Cite as

Fractal Viscous Fingers: Experimental Results

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Part of the NATO ASI Series book series (NSSE,volume 100)

Abstract

Viscous fingering has been actively studied for some time, not only because of its economic importance, but also because it is an area in which both experimental and theoretical studies can be performed in parallel. Moreover, recently developed statistical models of aggregation and growth have been found to be a useful means of representing fingering.

Keywords

  • Shear Rate
  • Fractal Dimension
  • Viscous Fluid
  • High Flow Rate
  • Capillary Number

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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  • DOI: 10.1007/978-94-009-5165-5_14
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References

  1. J. Nittmann, G. Daccord, H. E. Stanley. Fractal growth of viscous fingers: quantitative characterization of a fluid instability phenomenon. Nature, 314, 141–144, 14 march 1985.

    CrossRef  CAS  Google Scholar 

  2. P. G. Saffmann, G. I. Taylor. The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid. Proc. Roy. Soc., A242, 312–320, 1958.

    Google Scholar 

  3. B. Habermann. The efficiency of miscible displacement as a function of mobility ratio. Pet. Trans. AIME., 219, 264–272, 1960.

    Google Scholar 

  4. G. Daccord, J. Nittmann, H. E. Stanley. In preparation.

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  5. Unpublished experiments performed jointly by Shell and Dowell-Schlum- berger with a 1.2 × 3.6 m cell and a gap of 3.17 mm.

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  6. T. A. Witten, L. M. Sander, Phys. Rev. Lett 47, 1499–1501 (1981).

    CrossRef  Google Scholar 

  7. L. Paterson. Fingering with miscible fluids in a Hele Shaw cell. Phys. Fluids 28 (1), 26–30, Jan. 1985.

    Google Scholar 

  8. J. D. Sherwood, J. Nittmann, Submitted to J. Phys.

    Google Scholar 

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Author information

Authors and Affiliations

  1. Etudes et fabrication Dowell-Scblumberger, ZI Molina la Chazotte, BP 90, 42003, Saint Etienne, France

    G. Daccord & J. Nittmann

  2. Center for Polymer Studies and Department of Physics, Boston University, Boston, MA, 02215, USA

    H. E. Stanley

Authors
  1. G. Daccord
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  2. J. Nittmann
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  3. H. E. Stanley
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Editor information

Editors and Affiliations

  1. Boston University, Boston, Massachusetts, USA

    H. Eugene Stanley

  2. University of Nice, Nice, France

    Nicole Ostrowsky

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© 1986 Martinus Nijhoff Publishers, Dordrecht

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Daccord, G., Nittmann, J., Stanley, H.E. (1986). Fractal Viscous Fingers: Experimental Results. In: Stanley, H.E., Ostrowsky, N. (eds) On Growth and Form. NATO ASI Series, vol 100. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5165-5_14

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  • DOI: https://doi.org/10.1007/978-94-009-5165-5_14

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-89838-850-3

  • Online ISBN: 978-94-009-5165-5

  • eBook Packages: Springer Book Archive