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From Monte Carlo to Bayes Theory: The Role of Uncertainty in Petrophysics .   Simon Stromberg Global Technical Head of Petrophysics Senergy
Subsurface Characterisation ,[object Object],[object Object]
Subsurface Realisation Tables
Petrophysical workflows Calculate Volume of Clay Calculate Clay Corrected Porosity Calculate Clay Corrected Saturation Apply cut-offs for net sand, reservoir and pay and averages Volume of Clay Effective and Total Porosity Effective and Total Water Saturation Average Vcl, Por, Phi And HPVOL
Petrophysical Base Case Interpretation
Petrophysical Base Case Interpretation
Methods of Uncertainty Analysis ,[object Object],[object Object],[object Object],[object Object]
Sensitivity Analysis of Input Parameters – Single Parameter ,[object Object],[object Object],[object Object],[object Object],[object Object]
Sensitivity Analysis of Input Parameters – Single Parameter
Sensitivity Analysis of Input Parameters – Single Parameters
Partial Derivative Analysis ,[object Object],[object Object],[object Object]
Partial Derivative Analysis – Example ,[object Object],[object Object],[object Object]
Partial Derivative Analysis for Waxman-Smits Equation for Saturation
Partial Derivative Analysis for A Complete Deterministic Petrophysical Analysis
Partial Derivative – Input Data Zonal Averages
Partial Derivative – Input Uncertainty
Partial Derivative Analysis Results
Partial derivative Analysis - Saturation
Monte-Carlo Simulation ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Calculate Volume of Clay Calculate Clay Corrected Porosity Calculate Clay Corrected Saturation Apply cut-offs for net sand, reservoir and pay and averages
Monte-Carlo Simulation Reference Case Uncertainty Definition Results Sensitivity
Models and Equations
Results HPVOL (ft)
Sensitivity
Bayesian Analysis For Reliability ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Bayesian Theory ,[object Object],[object Object],[object Object],[object Object],[object Object]
Bayes Theory
Using AVO to De-risk Exploration and The Impact of Diagnosis Reliability ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
AVO
AVO-Bayes Theory
AVO ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Assessing Critical Porosity in Shallow Hole Sections  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Case Study: Assessing Critical Porosity in Shallow Hole Sections ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Assessing Critical Porosity in Shallow Hole Sections ,[object Object],[object Object],[object Object],[object Object]
Baseline Interpretation
Baseline Interpretation ,[object Object],[object Object],[object Object],[object Object],[object Object]
Rock above CP
Uncertainty Analysis (Monte Carlo)
Uncertainty Analysis (Monte Carlo) ,[object Object],[object Object],[object Object],[object Object],[object Object]
Results of Monte-Carlo
Tornado Plot
Conclusions from Monte Carlo ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Bayesian Analysis of Reliability ,[object Object],[object Object]
Bayesian Inversion of Tree
Bayesian Analysis of Reliability Joint Probability Table ,[object Object]
Bayesian Analysis 2 ,[object Object],[object Object]
Reliability of Diagnosis Chart Regional Data % of well above Below Cp
Conclusions From Reliability Analysis ,[object Object],[object Object],[object Object],[object Object],[object Object]
Conclusions ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

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Uncertainty in Petrophysics From Bayes To Monte Carlo