RUSSIAN JOURNAL OF EARTH SCIENCES VOL. 11, RE3005, doi:10.2205/2009ES000408, 2010
## Power distributions in ore and oil genesis – interpretation and generating mechanismsM. V. Rodkin^{1, 2}, I. A. Zotov^{3}, E. M. Grayeva^{2}, L. M. Labuntsova^{2}, A. R. Shatakhtsyan^{2}
## Extended AbstractAs it is well known, the Gutenberg-Richter recurrence law plays a tremendous role in seismology. This law is a first empirical power-series distribution with a heavy tail that has come to prominence. Later on analogical correlations were discovered in many other natural processes. It is assumed that it points out at unbalanced dynamic character of these processes. In particular, it was discovered that power distribution was implemented for values of reserves of large mineral deposits.
A power distribution of a number of hydrocarbon deposits for their
size value is implemented so well, that it is used for predicting a number
of not yet discovered different types of mineral deposits in a certain
region [
In ore geology the character of distribution of deposits' number
from the volume of reserves remained unclear [
Study of distribution laws of size values and concentration values
is expected to be rather useful (by analogy with seismology) for
understanding the processes of ore and oil genesis. Indeed,
implementation of power dependence, analogical to the
Gutenberg-Richter law, between a number of mineral deposits and deposits' size
values would have provided an additional argument for considering the
processes of ore and oil genesis as a result of unbalanced systems with
developed positive recurrent network, existing in the lithosphere.
Regarding the long-normal law of distribution of concentration values,
this result can be explained by formation of mineral deposits as a result
of a line of consecutive episodes (stages) of concentration of an ore
component. Hence the long-normal distribution law emerges as a result
of multiplication of independent ore enrichment coefficients at each of
these stages. It's worth to be mentioned that the phased character of
processes of large deposits' formation was described in the summarizing
monograph [
For the statistical analysis of ore deposits we used the data of GIS
(GIS KSKM) titled "Largest Deposits" [
Realization of power distribution law supposes implementation of
rather specific conditions. The works [
In the case of ore deposits the evidence of their modern
replenishment are also available [
The figure shows the values of difference of average concentration
of various ore components in upper and lower crust reservoirs
(according to the data [ The model of formation of deposits as a by-product of transformation of lithospheric blocks with arbitrary values of blocks' sizes gives birth to a distribution law of deposits' values, close to a long-normal one. A transformation of this distribution law into an empirically observed power distribution law assumes also the existence of a positive recurrence, ensuring the primary accumulation of raw material in deposits, largest by their volumes. Such mechanism could be the outcome of correlation of linear volumes of transformed parts of the Earth's crust. In application to a private case of transformation of a part of the upper crust in the pace of development of deep thrusts such correlation answers the famous empirical law, according to which powerful thrust zones are characterized by averagely large amplitudes of shifting movements. Another possible mechanism of positive recurrence could be realized in the model of ore deposits' formation by flows of transmagmatic fluids, when an ore-bearing fluid, spreading over a slowly hardening magma, heats it therefore creating prerequisites for improving transportation qualities of the fluid-spreading channel. Such mechanism of deposits' formation was convincingly confirmed by the data of detailed study of the unique Norilsk cluster of ore-bearing deposits. The suggested model clarifies both the possible mechanism of realization of empirically observed power distribution law of a number of ore deposits from sizes of their volumes and the nature of exposed close correlation between volumes of different components of and the difference of concentrations of the corresponding component in reservoirs of the upper and lower crust.
Citation: (2010), Power distributions in ore and oil genesis – interpretation and generating mechanisms, Russ. J. Earth Sci., 11, RE3005, doi:10.2205/2009ES000408. Copyright 2010 by the Russian Journal of Earth Sciences |