Since publication of the first volume of Stochastic Modeling and Geostatistics in 1994, there has been an explosion of interest and activity in geostatistical methods and spatial stochastic modeling techniques. Many of the computational algorithms and methodological approaches that were available then have greatly matured, and new, even better ones have come to the forefront. Advances in computing and increased focus on software commercialization have resulted in improved access to, and usability of, the available tools and techniques. Against this backdrop, Stochastic Modeling and Geostatistics Volume II provides a much-needed update on this important technology. As in the case of the first volume, it largely focuses on applications and case studies from the petroleum and related fields, but it also contains an appropriate mix of the theory and methods developed throughout the past decade. Geologists, petroleum engineers, and other individuals working in the earth and environmental sciences will find Stochastic Modeling and Geostatistics Volume II to be an important addition to their technical information resources.

Conventional approaches to estimating reserves, optimising mine planning and production forecasting result in single, often biased,
forecasts. This is largely due to the non-linear propagation of errors in understanding orebodies throughout the chain of mining.

Книга известного новозеландского физика сочетает в себе свойства учебника и монографии и может служить справочником по вопросам теории стохастических процессов. Дано последовательное рассмотрение марковских процессов, выводится стохастические дифференциальные уравнения, рассматриваются различные формы уравнения Фоккера — Планка, постановка граничных задач и методы их решения, управляющие уравнения процессов со скачками и их аппроксимации с помощью уравнения Фоккера — Планка, вопросы бистабилькости и метастабильности, квантовомеханические марковские процессы в применении к квантовой оптике и квантовой электронике, а также основные понятия теории вероятностей и случайных процессов.
Для научных работников, аспирантов и студентов старших курсов.

In the fall of 1988 the Society of Petroleum Engineers (SPE) held a forum on reservoir characterization in Grindenwald, Switzerland. Many of the authors who have contributed to this volume were at that forum discussing their ideas on stochastic methods for reservoir characterization. All of these ideas were then still quite new and largely untested; indeed, some of them had not been reduced to practice, but were merely the wild imaginings of creative and curious minds. At that time, there was still a fair bit of controversy over whether stochastic methods had any relevance to the practice of modeling petroleum reservoirs.*