We suggest a certain model based on a resource network in the form of a regular two-dimensional grid. Nodes of the grid correspond to the amounts of substance concentrated in the given area. On the other hand, the edges of the grid represent the values of cross-currents. Under a specified field of currents, the model simulates distribution of a substance within a given water body

We study stabilization processes in resource networks with arbitrary topology for large values of the resource, when certain vertices accumulate the resource, and resource in these vertices exceeds output bandwidth. We introduce the notion of flow in a network and study monotone and nonmonotone flows. We prove existence and uniqueness for the limit flow and, as a corollary, of the limit state. We introduce the notion of a potential attractor and study networks with one and several attractors. We show that in networks with several potential attractors, in case of large resources the limit state depends on the initial state.

Contemporary traditional practice of 3D oil and gas reservoir modelling has severe drawback. Namely, the natural water flow is neglected. The main reason for this consist in complexity of combining two processes - the field development and natural water flow in the reservoir. This paper authors compared carefully four different approaches proposed by arabian and russian specialists for simulation of oil and gas reservoirs with tilted fluid contacts for using in software package of geological and hydrodynamic modeling. Advantages and disadvantages of the proposed approaches are revealed. Additionally, authors propose their own, the most realistic approach to taking into account the natural water flow for 3D simulation of oil and gas reservoirs with tilted fluid contacts and perfoming forecast calculations.

The recent progress in developing the gravity and topographic models of Mars [1-3] allows to study the stress field in detail and to recalculate previous estimates of static stresses [4]. It is of importance to identify areas of high values of shear and tension-compression stresses as possible marsquakes focuses, as in 2018 NASA’s Discovery Program mission InSight (Interior Exploration using Seismic Investigations, Geodesy and Heat Transport) will place a single geophysical lander with a seismometer on Mars to study its deep interior. In this paper we will consider the case of an elastic mantle of Mars.

The present paper focuses on identification issues of the micro- and macrocharacteristics of social networks proposed in [1]. For this, we employ data on real online social networks—Facebook, LiveJournal and Twitter. And finally, the results of corresponding simulation experiments are provided and compared.