Vízügyi Közlemények, 1989 (71. évfolyam)

4. füzet - Rövidebb tanulmányok, közlemények, beszámolók

612 G ál fi János Как известно в механическом уровнении коэффициента фильтрации (13) значение элект­ропроводности (14) выражается из уровнения Арчи (14), поэтому зависимость коэффициента фильтрации от удельнош электропроводности лучйе аппроксимируется и уровнениями (17) и (18). * « * Functional relationship between the water content and some electrical parameters in clastic rocks by János GÁLFI geophysicist The relationship mentioned above will be given for two electrical parameters i.e. for permittiv­ity and conductivity of clastic rocks, with the main purpose that electrical measuring methods suitable for measuring water content of rocks be worked out. The intrinsic analogy between permittivity and conductivity, allows us to use the same methods in determination of both relationships. Analytical realtionships (Eq. 3 and Eq. 12) can be applied, when the clastic rock can be approximated by system of spheres. A statistical method can be applied generally, where the rock is represented by elements consisting of air, rock or water having the same number of elements at each internal point. A clastic rock will be then characterised by two parameters: with the quantity mentioned before and called degree of freedom, and with the porosity. Using the statistical method, the theoretical relationship permittivity vs. water content will be given by Eq. 7. Comparing the theoretical curves with those, measured on sand samples (dotted lines in Fig. 4) can be seen, that the logarithm of permittivity vs. water content shows a linear relation : making possible a very simple method of interpretation (Eq. 8.). The theoretical relationship conductivity vs. water content is given by Eq. 10. A comparison with the result of measurements made on sand samples (dotted lines in Fig. 6.) supports, that the electrical current in fresh-water bearing clastic rocks is conducted substantially over the particle surfaces. With the aid of Eq. 10., the coefficient in the Archie-relation (Eq. 11.) can be determined in case of fresh-water bearing clastic rocks. The Darcy-equation of hydraulic conductivity can be transformed into a half-electrical one ( 10) when the specific surface is substituted from the Archie-relation into the Darcy-equation. Using the corrected Archie-relation, the relationship hydraulic conductivity vs. electrical conductivity will be improved. * * * Variation des paramétres électriques des roches à débris en fonction de leure teneure en eau Gál fi J., géophysicien L'auteur représente les procédés de mesure de la teneur en eau des roches à debris. Il a démontré que les paramétres électriques de ces roches sont en fonction de leure teneur en eau. Plus précisément il s'agit d'un coefficient diéléetrique rélatif (de permittivité) ou la conductivité électrique spécifique. A partir de l'analogie intériure de la permittivité et de la conductivité des roches on peut établir de deux courbes (fonctions) à la même manière. Dans le cas où l'approche se fait à l'aide d'un modèle sphérique, on peut utiliser les formules analytiques (3) et (12). Le procédé statistique (5) est une méthode générale, dont la mise en application exige aussi l'utilisation la porosité comme caractéristi­que de la roche et le degré de liberté.

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