Dynamical System Modeling and Stability Investigation�DSMSI-2025

May 08-10, 2025, Kyiv, Ukraine

SOFTWARE AND ANALYTICAL APPLIED TECHNOLOGIES FOR CONTROLLING THE EFFICIENCY OF LEACHING A USEFUL COMPONENT FROM A TECHNOGENIC DEPOSIT

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Yaroslav Petrivskyi, Mykhailo Tymchuk, Serhii Shmatiuk, Rivne State Humanitarian University

Volodymyr Petrivskyi, Taras Shevchenko National University of Kyiv�

Introduction

• Technogenic resources are a promising source of valuable mineral components.
• Chaotic existence or uncontrolled exploitation of man-made deposits is dangerous.
• The most well-known example of a man-made deposit is the destroyed power unit of the Chornobyl nuclear power plant.

Dynamical System Modeling and Stability Investigation, DSMSI-2025

The main objective of the research

Dynamical System Modeling and Stability Investigation, DSMSI-2025

Dimensionless ratio of fracture width and permeability

Dynamical System Modeling and Stability Investigation, DSMSI-2025

1, 2, 3 - respectively for m=2.0; 2.5; 3.0.

Anti-filtration collector complex (AFCC) scheme

Dynamical System Modeling and Stability Investigation, DSMSI-2025

Evaluation of the efficiency of activation of the leaching process

1 – leaching solution; 2 – man-made deposit; 3 – fracture cracks; 4 – saturated productive solution.

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Dynamical System Modeling and Stability Investigation, DSMSI-2025

Mathematical model of the leaching process

Dynamical System Modeling and Stability Investigation, DSMSI-2025

Initial and boundary conditions

Dynamical System Modeling and Stability Investigation, DSMSI-2025

Developed software example

Dynamical System Modeling and Stability Investigation, DSMSI-2025

Activity diagram of calculation process

Dynamical System Modeling and Stability Investigation, DSMSI-2025

General remarks

• The initial data for modeling were selected for the technogenic uranium deposit at the Chornobyl NPP accident site.
• The filtration rate in fuel-containing masses depends on their permeability and the flow rate of the supplied reagent.
• A complete numerical analysis of the process is impractical due to the significant number of parameters whose reliable values ​​cannot be determined.

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Dynamical System Modeling and Stability Investigation, DSMSI-2025

Distribution of soluble uranium concentration without preliminary fracturing

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a) 1 year after the beginning of leaching;

b) 15 years after the beginning of leaching.

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Dynamical System Modeling and Stability Investigation, DSMSI-2025

Distribution of soluble uranium concentration with low impact pre-fracturing

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a) 1 year after the beginning of leaching;

b) 5 years after the beginning of leaching.

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Dynamical System Modeling and Stability Investigation, DSMSI-2025

Distribution of soluble uranium concentration with high impact pre-fracturing

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a) 1 year after the beginning of leaching;

b) 3 years after the beginning of leaching.

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Dynamical System Modeling and Stability Investigation, DSMSI-2025

Influence of the intensity of hydrogeo-mechanical impact on the technogenic deposit massif

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Dynamical System Modeling and Stability Investigation, DSMSI-2025

Conclusions

• When hydraulic fracturing is applied to rocks of a man-made deposit, the rate of leaching process increases sharply.
• The intensity of leaching with hydraulic fractures in the massif increases several times over the course of five years.
• Using the .NET 8 framework and Windows Forms, software has been developed for numerical modeling.
• Using the developed model allows optimizing reagent costs.

Dynamical System Modeling and Stability Investigation, DSMSI-2025

Thank you for your attention

Dynamical System Modeling and Stability Investigation, DSMSI-2025