Part I. Evolution of the Estimated Oil and Gas Reserves in the Process of Exploration and Their Evaluation. Modeling principles. Evolution of the reserves accumulation-Deterministic models. Evolution in time of the reserves accumulation-Stochastic models. Evolution of the reserves accumulation as a function of drilling volumes-Deterministic models. Reserves history and evolution of the undiscovered resources structure. Part II. Evolution of Oil and Gas Field Discoveries. Size distribution of oil and gas field reserves-Its formation mechanism. Sequence, structure, and rate of oil and gas field discoveries. Part III. Strategy of Control over Oil and Gas Exploration. Model of oil and gas exploration control. Optimization of oil and gas exploration and appraisal process. Forecast of exploration evolution. References. Index.