Probability in Petroleum and Environmental Engineering
Published on 25. November 2012
275 pages
978-0-12-799970-8 (ISBN)
Description
Written by three of the world's most renowned petroleum and environmental engineers, Probability in Petroleum and Environmental Engineering is the first book to offer the practicing engineer and engineering student new cutting-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 to petroleum and environmental engineering to solve multiple problems that engineers or geologists face every day.
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George V. Chilingar | Leonid F. Khilyuk | Herman H. Reike
Probability in Petroleum and Environmental Engineering
Book
05/2005
Gulf Publishing Company
€169.36
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Content
- Front Cover
- Probability in Petroleum and Environmental Engineering
- Copyright Page
- Table of Contents
- Dedication
- 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 REMARKS
- COMPOSITION 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 EXERCISES
- CHAPTER 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 EXPERIMENTS
- BERNOULLI 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 DENSITY
- DISTRIBUTION 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
- STATISTICAL LINEARIZATION
- AIR-QUALITY COMPARISON
- QUESTIONS AND EXERCISES
- CHAPTER 9. NUMERICAL CHARACTERISTICS OF RANDOM VARIABLES
- INTRODUCTION
- PROBABILISTIC MEANING AND PROPERTIES OF QUANTILES
- STATISTICAL MEANING OF QUANTILES
- MEDIAN, QUARTILES, AND OTHER COMMONLY USED QUANTILES
- APPLICATION OF QUANTILES: MINIMIZATION OF MEAN LOSSES CAUSED BY DEVIATION OF RANDOM VARIABLES FROM THE GIVEN LEVEL
- EVALUATION OF TIME OF TREATMENT
- PLANNING OF THE OPTIMAL AMOUNT OF OXYGEN SUPPLY
- SYMMETRICAL DISTRIBUTION
- TRACE METAL DISTRIBUTION
- QUESTIONS AND EXERCISES
- CHAPTER 10. PROBABILITY DISTRIBUTIONS
- BINOMIAL (BERNOULLI) DISTRIBUTION
- NUMERICAL CHARACTERISTICS OF BINOMIAL DISTRIBUTION
- MULTISTAGE PROCESSING SYSTEM: OPTIMAL STAGE RESERVE LEVEL
- HYPERGEOMETRIC DISTRIBUTION
- RANDOM SELECTION OF SAMPLE SETS FROM A DICHOTOMOUS COLLECTION
- POISSON DISTRIBUTION
- POISSON FLOW OF EVENTS
- PROBABILITIES FOR THE NUMBER OF EXCEEDANCES
- PROBABILITIES OF MAJOR FLOODS
- QUESTIONS AND EXERCISES
- CHAPTER 11. PROBABILITY DISTRIBUTIONS
- INTRODUCTION
- UNIFORM DISTRIBUTION
- EXPONENTIAL DISTRIBUTION
- NORMAL (GAUSSIAN) DISTRIBUTION
- PROPERTIES OF NORMAL RANDOM VARIABLES
- APPLICATION OF NORMAL DISTRIBUTION
- LOGNORMAL DISTRIBUTION
- APPLICATION OF LOGNORMAL DISTRIBUTION
- DISTRIBUTION OF SOLID PARTICLES IN FLOWING WATER
- MEAN LIFESPAN OF A BACTERIUM
- OCCURRENCE OF STRONG RAINFALL
- BROWNIAN MOTION
- DISTRIBUTION OF GRAIN SIZES
- MEASUREMENTS OF TRACE LEVELS OF SUBSTANCES: NORMAL-LOGNORMAL DISTRIBUTION
- PROBABILISTIC CHARACTERIZATION OF A PETROLEUM RESERVOIR
- QUESTIONS AND EXERCISES
- CHAPTER 12. LIMIT THEOREMS OF THE PROBABILITY THEORY
- INTRODUCTION
- FORMS OF CONVERGENCE FOR RANDOM SEQUENCES
- CHEBYSHEV'S INEQUALITY
- LAW OF LARGE NUMBERS
- CENTRAL LIMIT THEOREMS
- PRACTICAL USE OF CENTRAL LIMIT THEOREMS
- APPLICATION OF CENTRAL LIMIT THEOREMS TO BERNOULLI'S SCHEME
- APPLICATION OF NORMAL DISTRIBUTION IN BIOLOGICAL MODELS
- APPLICATION OF CHEBYSHEV'S INEQUALITY
- MAINTENANCE OF THE MONITORING STATIONS
- DETERMINATION OF THE NUMBER OF TESTS NECESSARY FOR CONFIDENT DECISION MAKING
- QUESTIONS AND EXERCISES
- CHAPTER 13. PROBABILISTIC DECISION MAKING
- INTRODUCTION
- RISK-ASSESSMENT METHODS
- DECISION MAKING WITH UNKNOWN DISTRIBUTIONS
- DECISION RULES
- RECONSTRUCTION OF DISTRIBUTION FUNCTION BASED ON A SUBJECTIVE ASSESSMENT OF QUANTILES: EVALUATION OF THE AVAILABLE AMOUNT OF GROUNDWATER RESOURCES OF AN AQUIFER
- INVESTIGATING PROPERTIES OF DISTRIBUTION FUNCTIONS
- ESTIMATION OF THE PARAMETERS OF DISTRIBUTION
- PROPERTIES OF GOOD ESTIMATORS
- CONFIDENCE INTERVAL CONSTRUCTION
- TESTING OF HYPOTHESES
- AIR POLLUTION INVESTIGATION
- QUESTIONS AND EXERCISES
- APPENDIX 1: PRINCIPLES OF SET THEORY
- EXAMPLES OF SETS
- MAIN OPERATIONS WITH SETS
- QUESTIONS AND EXERCISES
- APPENDIX 2: METHODS OF COUNTING
- SEQUENTIAL COUNTING PRINCIPLE (SCP)
- COMBINATIONS AND PERMUTATIONS
- FORMULAS FOR COUNTING PERMUTATIONS AND COMBINATIONS
- APPENDIX 3: STATISTICAL COMPARISON OF AN ORIGINAL DATA SET WITH ITS SUBSET IN OIL SPILL STUDIES
- DESCRIPTION OF THE PROBLEM
- SOLUTION STEPS
- DISCUSSION
- COMPARISON OF THE STATISTICAL RESULTS
- CONCLUSION
- APPENDIX 4: STANDARD NORMAL DISTRIBUTION FUNCTION
- REFERENCES
- AUTHOR INDEX
- SUBJECT INDEX
