







Vol.1 , No. 1, Publication Date: Jun. 6, 2016, Page: 37-42
[1] | Alimov I., Laboratory of "Modeling of Complex Systems", Center for Development of Software Products and Hardware-Software Complexes, Tashkent, Uzbekistan. |
[2] | Tuhtanazarov D. S., Laboratory of "Modeling of Complex Systems", Center for Development of Software Products and Hardware-Software Complexes, Tashkent, Uzbekistan. |
The paper presents the intermediate model for fluid filtration in the deposit with poorly permeable and well permeable layers. The computational algorithm and program for the Hantush model were developed. The computational experiment with comparison to the results of the other models for the development of a multilayered deposit is presented. Based on the analysis of numerical results it was confirmed that the Hantush model is optimal in terms of efficiency of computer time and memory consumption of computational technology.
Keywords
Mathematical Model, Layer, Fluid, Filtration, Pressure, Algorithm, Poorly Permeable, Well Permeable
Reference
[01] | Aziz K., Settari A. Mathematical modeling of reservoir systems. Moskva: ijevsk, 2004. –p. 386 (in Russian). |
[02] | Badriyev I. B., Fanyuk B. Y. Mathematical modeling filtration problems with multi-valued law in Multiple Seams, Math modeling, 2014, tom 26, number 5, p. 126–136 (in Russian). |
[03] | Konovalov A. N. The problems of filtration multiphase incompressible fluid -Novosibirsk: Science, 1988. –p. 165 (in Russian). |
[04] | Shelkachev V. N., Guseyn-zade M. A. Effect of permeability of top and bottom of the reservoir on the movement of fluid in it // Oil industry. 1953.- №2 (in Russian). |
[05] | Khantush M. S. A new theory in overflowing. In proc.: Problems of hydrogeological calculations.- M.: Mir, 1964 (in Russian). |
[06] | Samarskiy A. A., Mixaylov A. P. Mathematical modeling: Ideas. Methods. Examples - M.: fizmatlit, 2001. – p. 320 (in Russian). |
[07] | Muhitdinov N. Gas-hydrodynamic study of nonlinear filtering of liquids and gases. –Tashkent: Fan, 1977. – p. 152 (in Russian). |
[08] | Alimov I. Mathematical modeling of hydrodynamic processes of underground leaching. T:. FAN 1991. – p. 82 (in Russian). |
[09] | Tukhtanazarov D. S. Developing of mathematical models of filtration of fluids in multilayered formations // Uzbek journal of “Problems of informatics and energetics”.–Tashkent, 2014.-№ (in Russian). |
[10] | Alimov I., Tuhtanazarov D. S. Numerical algorithms for solving two-dimensional hydrodynamic problems using the sweep methods// Uzbek journal of “Problems of informatics and energetics”.–Tashkent, 2013.-№5-6.-p. 53 (in Russian). |
[11] | Tuhtanazarov D. S. Development of mathematical models of fluid filtration in multilayered strata // Uzbek journal of “Problems of informatics and energetics”.–Tashkent, 2014.-№3-4.-p. 61 (in Russian). |
[12] | Tuhtanazarov D. S. Intermediate model for fluid filtration in multilayered strata // European applied sciences. –Germany, 2015. – № 10.- p. 65 (in English). |