POLYMODALITY OF HISTOGRAMS OF GEOLOGICAL CHARACTERISTICS AS A CRITERION OF FLUID DYNAMICS

Abstract

The relevance of the work is caused by the necessity to identify the polymodality in distributions of the intensities of processes of various nature. Moreover, the reason for the polymodality of histograms is universal, and their modes can serve as a search criterion for oil and gas deposits. Purpose: to determine the values ​​of modes in the polymodal distributions of the intensities of secondary processes, which reflect the dynamic regime of external influence and the nature of sandy reservoir saturation, as well as to identify the conditions for polymodality manifestation in distributions of the values ​​of the cracks in sandy rock. Methods. Based on the previously developed methodology and the theory of unification of the statistical intensity of the matter transformation in the polymodal distribution of these intensities, each mode corresponds to a certain dynamics of the external flow. According to the previously developed kinematic theory of system transformation, the transformation itself acquires stability only when the state vector of transformation in the vector space of time coordinates (the time of internal transformation of the elements of the system and the time of the external influence within the radius of influence on the internal elements) is determined by the angular constants associated with «golden» proportion. Steady states of processes are the reason for the formation of a polymodal statistical distribution. Results. The studies conducted based on empirical data, have shown that the distributions of samples of the intensities of secondary processes in oil and gas saturated sandy rocks are always bimodal. The smaller value of the bimodal distribution mode is caused by the conservation pattern of all secondary transformations of matter by hydrocarbons. The center of gravity of a mono- or polymodal distribution of intensities in water-saturated reservoirs is shifted towards a larger value. The intensity of rock transformation depends on its fracture opening, and the distribution of the sample of fracture opening values ​​can also be polymodal, provided that the distance from the wells (the place where the core sample was taken) to tectonic faults is approximately equal.

Keywords

• intensity of secondary processes
• fracture opening
• polymodal distribution
• hydrocarbons
• «golden» proportion
• well logging
• conversion state