A Fractal Simulation Method for Simulating the Resource Abundance of Oil and Gas and Its Application

In this study, a fractal simulation method for simulating resource abundance is proposed based on the evaluation results of the exploration risk and prediction technology for the spatial distribution of oil and gas resources at home and abroad. In addition, a key technical workflow for simulating resource abundance was developed. Furthermore, the model for predicting resource abundance has been modified, and the objective functions for conditional simulation have been improved. A series of prediction technologies for predicting the spatial distribution of oil and gas resources have been developed, and the difficulties in visualizing the exploration risks and predicting the spatial distribution of oil and gas resources have been solved. Prediction technologies have been applied to the Jurassic Sangonghe Formation in the hinterland of the Junggar Basin, and good results have been obtained. The results indicated that within the known area, taking the known abundance as the constraint condition, the coincidence rate of the simulated quantities of the original model and the improved model with the actual reserves reached 99.98% after the conditional simulation, indicating that the conditional simulation was effective. In addition, with the improved model, the predicted remaining resources are 0.7899$$\times 10^{8}$$ × 10 8 t, which is 65% of the discovered reserves, and the original model predicts that the remaining resources are 3.5033$$\,\times \,10^{8}$$ × 10 8 t, which is 2.89 times greater than the discovered reserves. Compared with the area in the middle stage of exploration, the results of the improved model are more consistent, and the results of the original model are obviously larger, indicating that the improved model has a good predictive effect for the unknown area. Finally, according to the risk probability and remaining resource distribution, the favorable areas for exploration were optimized as follows: the neighborhood of the triangular area formed by Well Lunan1, Well Shimo1, and Well Shi008, the area near Well Mo11, the area east of Well Mo5, the area west of Well Pen7, the area southwest of Well Shidong1, and the surroundings, as well as the area north of Well Fang2. The application results show that these prediction technologies are effective and can provide important reference and decision-making for resource evaluation and target optimization.

Fractal modeling and cluster analysis of social processes in Russia, 17th – 20th centuries

The article is devoted to the heuristic possibilities of fractal simulation and cluster analysis in historical research. The authors presented examples of the application of these research tools to the study of historical demographic processes (XIX–XX centuries), to the history of the frontier (XVII – XIX centuries). The authors concluded that the mentioned toolkit is an effective means of typing objects.

Fractal simulation of thin film nucleation growth process using a diffusion-limited aggregation model

In order to study the initial nucleation and growth process of the films, a two-dimensional (2D) DLA model was established, and fractal dimension was calculated by sandbox method. Compared with the experimental results, the model can well characterize the morphology of nucleation and growth in the initial stage of film growth. In addition to the number of particles and deposition probability involved in other studies, the size of substrate and the location of central particles are also considered in this work. The growth morphology, fractal dimension and the number of simulated steps are presented in this paper.

STUDY ON MICRO CONTACT CHARACTERISTICS OF JOINT SURFACE BASED ON A FRACTAL THEORY

In order to understand the microscopic mechanism of the joint surface, simulations of three-dimensional microscopic topography of the joint surface are done based on the fractal theory. Further, the three-dimensional microscopic surface contact models of the joint surface are designed using the fractal simulation surface topography. Then, the contact simulation analyses are carried out using finite element method and the microscopic elasticity and elastic-plastic contact characteristics between the three-dimensional microscopic surfaces are studied. The research results showed that the displacement along normal direction, contact area, and contact pressure of the joint surface increase nonlinearly with an increase in the contact load and vary with the roughness of the joint surfaces. This study provides a theoretical basis for the further research on the microscopic mechanism of the joint surface.