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Water Impurities Transportation


Physical and Mathematical Models for the Calculation of the Impurities Transport under the Migration of Underground Waters

Tech Area / Field

  • ENV-WPC/Water Pollution and Control/Environment

8 Project completed

Registration date

Completion date

Senior Project Manager
Ryabeva E V

Leading Institute
VNIIEF, Russia, N. Novgorod reg., Sarov

Supporting institutes

  • Kazan State University / Scientific Research Institute of Mathematics and Mechanics, Russia, Tatarstan, Kazan


  • CNRS / IPGP, France, Paris

Project summary

Recently there is a significant increase in anthropogenic and technogenic load on the environment. This results primarily from chemical facilities activities, oil recovery and transportation, accidents at oil reprocessing and chemical plants. Significant environment pollution occurs at the use of fertilizers and pesticides in agriculture. Hazardous elements precipitating on the ground surface can be transported by underground and pressure waters at great distances which eventually may lead to ecological catastrophe and make large territories unsuitable for life activities.

Permanent ecological monitoring and prediction of impurities transport due to the migration of underground waters require the use of mathematical models and program packages allowing for efficient simulation of the processes of interest and the acquisition of their numerical characteristics.

At present one of the most important ecological problems in SouthEastern Tatarstan is the problem of pollution of potable fresh ground waters. One of the major reasons causing the pollution is oil industry activity. Pollution may be due to penetration into soil of oil and oil products as well as accompanying ground waters containing significant amount of chemically soluble impurities. It should be noted that in South-Eastern Tatarstan, the region of active oil production, long-term monitoring of the structure and state of ground waters and watery strata has been being carried out, and a large amount of experimental information has been collected by the present moment.

The basic mathematical goal of the project is the development of object-oriented physical - mathematical models and creation of programs to simulate processes of pollution and impurities transport at migration of fresh ground waters.

The project objectives are:

- Analysis of typical scenarios of pollution due to oil production and transportation with unexpected and long-term leakage. Analysis of formation and spreading of hydrocarbon lens over ground waters surface. Investigation of specific features of heavy hydrocarbons penetration in water-bearing strata. Study of stratum nonhomogeneity influence on impurities penetration character. Analysis of pollution penetration peculiarities in the presence of fractures. Analysis of typical scenarios of fresh water pollution by stratum brines at oil wells and pipelines leakage. As a result of undertaken analysis typical cases of primary pollution will be formalized to be used in long-term ground waters state forecast.
- Development and perfection of mathematical models of primary pollution and processes of impurities migration in underground waters as applied to the chosen region (South- Eastern Tatarstan). Study of convective diffusion in nonhomogeneous strata by means of mathematical simulation and development on its basis of simple adequate model to describe effects of real stratum multiscale nonhomogeneity.
- Development of cost-efficient algorithms and program packages for pollution spreading in water-bearing strata forecast.
- Creation of benchmark banks for the verification of computational methods.
- Verification of the numerical model and making it more precise by comparison of computation results with data of ground waters state monitoring in SouthEastern Tatarstan.
- Carrying out of computation experiment to analyze consequences of possible pollution in the frames of the chosen observation object and possible pollution scenarios.
- Implementation of numerical models for determination of possible methods to control ground waters quality at the expense of flows control.

Vast experience of specialists in mathematical modeling and program packages development for the problems of solid media mechanics and, in particular, filtration will be used during the project realization. The project participants possess experience in development of exact solutions for the problems of hydrodynamics and filtration. Original cost-efficient algorithms of mass and heat transfer, diffusion, chemical and physical kinetics, filtration etc. have been developed and realized by the project participants. Moreover, the team possesses sufficient experience in development of large program packages for solution of various physical problems. Long-term observation data on the state of underground waters in oil producing regions of Tatarstan are at the participants’ disposal.

The project could be further developed as applied to:

- adaptation of object-oriented model to other objects, situations and pollution types.
- it could serve as a basis for creation of interactive program package for ecological applications.
- creation of program packages for massively parallel computers for computer simulation of natural systems in real time.

This project completely corresponds to the ISTC goals:

- the use of up-to-date knowledge of filtration and impurities transport processes in the environment protection.
- this project has a commercial potential, which surely would contribute to the transition to the market economy.
- this project encourages the VNIIEF weapons scientists to enter the important conversion activities relating to ecology.

Improved physical - mathematical models of primary pollution and processes of impurities transport by underground waters will result from the project accomplishment. Cost-efficient numerical methods and algorithms will be developed for the proposed models; program package for impurities transport by underground waters will be created.

Major results obtained in the course of the project will be published.


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