Probability in petroleum and environmental engineering / Leonid F. Khilyuk, George V. Chilingar, Herman H. Rieke.

Format:

Book

Author/Creator:

Khilyuk, Leonid F.

Chilingar, George V., 1929- author.

Contributor:

Rieke, Herman H.

Language:

English

Subjects (All):

Petroleum engineering--Statistical methods.

Petroleum engineering.

Environmental engineering--Statistical methods.

Environmental engineering.

Probabilities.

Reliability (Engineering)--Statistical methods.

Reliability (Engineering).

Physical Description:

1 online resource (292 p.)

Place of Publication:

Houston, Texas : Gulf Pub. Co., [2005]

Language Note:

English

Summary:

Written by three of the world's most renowned petroleum and environmental engineers, Probability in Petroleumand Environmental Engineering is the first book to offer the practicing engineer and engineering student newcutting-edge techniques for prediction and forecasting in petroleum engineering and environmental management.The authors combine a rigorous, yet easy-to-understand, approach to probability and how it is applied topetroleum and environmental engineering to solve multiple problems that engineers or geologists face every day.

Contents:

Front Cover; Probability in Petroleum and Environmental Engineering; Copyright Page; Dedication; Table of Contents; PREFACE; LIST OF NOTATIONS; CHAPTER 1. INTRODUCTION; THE APPROACH; OVERVIEW; INSTRUCTIONS; CHAPTER 2. EXPERIMENTS AND EVENTS; PRIMARY NOTIONS; ALGEBRA OF EVENTS; RELATION OF IMPLICATION; MAIN OPERATIONS WITH EVENTS; MAIN PROPERTIES OF THE OPERATIONS WITH EVENTS; THEOREM ON THE DECOMPOSITION OF AN EVENT INTO A COMPLETE SET OF EVENTS; INTERPRETATION OF ENVIRONMENTAL PHENOMENA AS EVENTS OF EXPERIMENTS; QUESTIONS AND EXERCISES; CHAPTER 3. SPACE OF ELEMENTARY EVENTS

PRELIMINARY REMARKSCOMPOSITION OF THE SPACE OF ELEMENTARY EVENTS; COMPOSITION OF THE SPACE OF ELEMENTARY EVENTS FOR AIR-QUALITY MONITORING AND FORECASTING; CHARACTERIZATION OF THE EUTROPHICATION OF A BAY WATER; QUESTIONS AND EXERCISES; CHAPTER 4. PROBABILITY OF RANDOM EVENTS; RANDOM EVENTS AND RANDOM EXPERIMENTS; THE CONCEPT OF PROBABILITY OF A RANDOM EVENT; ADEQUACY OF CHOSEN PROBABILISTIC SPACE TO THE GIVEN STOCHASTIC EXPERIMENT; COROLLARIES OF PROBABILITY AXIOMS; CLASSIC DEFINITION OF PROBABILITY; GEOMETRIC DEFINITION OF PROBABILITY; STATISTICAL DEFINITION OF PROBABILITY

QUESTIONS AND EXERCISESCHAPTER 5. CONDITIONAL PROBABILITY AND STOCHASTIC INDEPENDENCE; CONDITIONAL PROBABILITY; FORMULA OF TOTAL PROBABILITY; BAYES' FORMULA; EXAMPLES OF APPLICATION; INDEPENDENCE OF EVENTS; MULTISTAGE PROBABILISTIC ASSESSMENT OF FAILURE; SIMPLIFIED PROBABILISTIC MODEL FOR AIR-QUALITY FORECASTING; PROBABILITY OF A WATER-PURIFICATION SYSTEM BEING FUNCTIONAL; QUESTIONS AND EXERCISES; CHAPTER 6. BERNOULLI DISTRIBUTION AND SEQUENCES OF INDEPENDENT TRIALS; BERNOULLI (BINOMIAL) DISTRIBUTION; SEQUENCE OF INDEPENDENT TRIALS AND ITS MATHEMATICAL MODEL

PROBABILISTIC SPACE FOR A SEQUENCE OF INDEPENDENT EXPERIMENTSBERNOULLI SCHEME OF INDEPENDENT TRIALS; EXAMPLES OF APPLICATION; APPLICATION OF THE BERNOULLI SCHEME FOR AIR-QUALITY ASSESSMENT; QUESTIONS AND EXERCISES; CHAPTER 7. RANDOM VARIABLES AND DISTRIBUTION FUNCTIONS; QUANTITIES DEPENDING ON RANDOM EVENTS; MATHEMATICAL DEFINITION OF A RANDOM VARIABLE; EVENTS DEFINED BY RANDOM VARIABLES; INDEPENDENT RANDOM VARIABLES; DISTRIBUTION OF A RANDOM VARIABLE: THE DISTRIBUTION FUNCTION; GENERAL PROPERTIES OF DISTRIBUTION FUNCTIONS; DISCRETE RANDOM VARIABLES; CONTINUOUS RANDOM VARIABLES

GENERAL PROPERTIES OF DISTRIBUTION DENSITYDISTRIBUTION FUNCTION AND DISTRIBUTION DENSITY OF FUNCTIONS OF RANDOM VARIABLES; EVALUATING PROBABILITY OF SOIL AND GROUNDWATER CONTAMINATION; QUESTIONS AND EXERCISES; CHAPTER 8. NUMERICAL CHARACTERISTICS OF RANDOM VARIABLES; INTRODUCTION; MATHEMATICAL EXPECTATION OF RANDOM VARIABLES; STATISTICAL MEANING OF MATHEMATICAL EXPECTATION; MAIN PROPERTIES OF MATHEMATICAL EXPECTATION; FUNCTIONS OF RANDOM VARIABLES; NONCORRELATED RANDOM VARIABLES; VARIANCE OF A RANDOM VARIABLE; MAIN PROPERTIES OF VARIANCE; OTHER CHARACTERISTICS OF DISPERSION

MOMENTS OF RANDOM VARIABLES OF A HIGHER ORDER

Notes:

Description based upon print version of record.

Includes bibliographical references and indexes.

Description based on print version record.

ISBN:

0-12-799970-1

1-60119-125-1

OCLC:

861559358