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A simulation model of the stochastic lateral migration of the primary hydrocarbon

Sharnin A.A.

A.A. Trofimuk Institute of Petroleum Geology and Geophysics SB RAS, Novosibirsk, Russia

asharnin@gmail.com

The process of secondary carbon migration is the main component of general activity of naphthide genesis in sedimentary sheath of Earth as it is exactly the one to precede the process of carbon’s accumulation in traps and generation of oil and gas clusters.

Mathematical modeling of naphthide genesis’ process and its’ separate phases in sedimentary pools is an exclusive object both for the theory of naphthide genesis and experience of prospect drilling.

In theoretical point of view such models allow to study different aspects of carbons’ generation and migration, formation and disintegration of their clusters in terms of quantity that expands our conception of oil and gas genesis in nature.

In practical view point modeling, running by application of geological-geophysical data of pool’s pattern and expansion and allowing to estimate gas content perspectives in terms of quantity before high-costly drilling is launched, is considered to be very important in exploration works’ economy.

According to existing trends in mathematical modeling of naphthide genesis models can be divided into two main classes: determined class of direct modeling (models of pool modeling) and stochastic models’ class.

This work is dedicated to formation of imitating model of carbon clusters’ secondary migration, clusters that accumulate in top area of collector, as a result of their migration from oil native strata in the line of oil reservoir rise.

The model under review consists in establishing the fact that carbon accumulation’s allocation according to its’ mass – Pareto’s allocation – could be formed on the step of their secondary migration.

The developed imitation model of lateral migration of carbons, computing experiments and data analysis of statistical characteristics allowed us to resume following:

  1. The lateral migration can cause its’ power allocation based on mass;

  2. The power distribution law is an effect of two multidirectional processes – interflow process and a process of mass’ loss on the routes of migration;

  3. The formation of power allocation is able only when mean quantity of primary allocation exceeds any critical value and probability of aggregation is enough to entail power allocation. Otherwise aggregation of primary accumulation occur infrequently and its’ basic portion will dissipate on the route of migration.

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