Model Selection by Functional Decomposition of MultiProxy Flow
Model Selection by Functional Decomposition of Multi-Proxy Flow Responses Ogy Grujic, Jef Caers SCRF Affiliates Meeting 2014
Recall Distance Kernel Method Some Quick Approximate Distance 05/09/2014 SCRF Affiliates Meeting 2014 1
Common Question Geological Realizations Arsenal of Proxy Flow Model Responses Use 2 or More Responses Jointly For Model Selection Upscaling Flow Diagnostics Streamline Simulation Single Phase + OOIP 05/09/2014 SCRF Affiliates Meeting 2014 2
Common Answer Combined Distances: Question: How much should you weight each response? 05/09/2014 SCRF Affiliates Meeting 2014 3
Remember FPCA (shale talk) 05/09/2014 SCRF Affiliates Meeting 2014 4
FPCA vs. MDS Complex Response: 05/09/2014 FPCA Produced Space SCRF Affiliates Meeting 2014 MDS Produced Space 5
FPCA vs. MDS Simple Response: 05/09/2014 FPCA Produced Space SCRF Affiliates Meeting 2014 MDS Produced Space 6
Multivariate FPCA 05/09/2014 SCRF Affiliates Meeting 2014 7
Mixed PCA General Idea: Replace functional part(s) with their basis coefficients: Common Situation: Scalar Or with their FPCA scores: One model: Functional Responses Proceed with Conventional Multivariate PCA SCRF 2014 8
Multi Proxy Model Selection Proposed Workflow Response Type Same Type: eg. Oil vs. Time Different Type: eg. Upscaled Model with Flow Diagnostics 05/09/2014 Construction of Sampling Space Multivariate FPCA Sampling Hierarchical Clustering Mixed FPCA SCRF Affiliates Meeting 2014 9
Simple Case Study Upscaled Models Finely Gridded Models Prod. 10 Flow Diagnostics 0 r ea li za tio ns Inj. 2 “Proxy” Responses Black Oil Simulation 2 Phases: Oil & Water Φ 05/09/2014 SCRF Affiliates Meeting 2014 10
Proxy Responses Upscaled Models 05/09/2014 SCRF Affiliates Meeting 2014 11
Side by Side Comparison Produce Sampling Spaces on Flow Rates Sampling Method Error = Distance From The Target DKM FPCA multivariate-FPCA mixed - PCA Hierarchical Clustering 05/09/2014 SCRF Affiliates Meeting 2014 12
FPCA vs. MDS FPCA Sample Space 05/09/2014 MDS Sample Space SCRF Affiliates Meeting 2014 13
Multivariate FPCA vs. MDS Oil & Water Rates FPCA Sample Space 05/09/2014 MDS Sample Space SCRF Affiliates Meeting 2014 14
Multi-Proxy Model Selection Combination: Upscaled Proxy: Oil Rates Flow Diagnostics 05/09/2014 SCRF Affiliates Meeting 2014 15
Multi-Proxy Model Selection with mixed PCA Combination: Upscaled Proxy: Oil Rates Water Rates Flow Diagnostics 05/09/2014 SCRF Affiliates Meeting 2014 16
Summary Conclusions: Flexible technique for combining multiple sources of information into model selection Preliminary research that opens completely new avenues of research for us Future Work: More Complex Simulation Study Predict High Fidelity Flow Responses From Proxies Validation of Sampling Spaces 05/09/2014 SCRF Affiliates Meeting 2014 17
Acknowledgements Herve Gross, AR 2 Tech Brad Mallison, Chevron SCRF Team Members 2013/2014 05/09/2014 SCRF Affiliates Meeting 2014 18
Backup Slides O. Grujic, J. Caers, SCRF 2014 05/09/2014 SCRF Affiliates Meeting 2014 19
Mixed PCA General Idea: Replace functional part(s) with their basis coefficients: Common Situation: Scalar One model: Or with their f. PCA scores: Functional Responses Proceed with Multivariate PCA 05/09/2014 SCRF Affiliates Meeting 2014 20
MDS vs. FPCA 05/09/2014 SCRF Affiliates Meeting 2014 21
PCs On Flow Diag. 05/09/2014 SCRF Affiliates Meeting 2014 22
Basis Systems B - Splines B-Spline Basis: Production Profiles Well Logs Very Robust Fourier Basis: Most Suitable For Periodic Data 05/09/2014 SCRF Affiliates Meeting 2014 23
Oil Rate (stb/day) Sampling With Lorenz Coefficient Time (days) 05/09/2014 SCRF Affiliates Meeting 2014 24
05/09/2014 SCRF Affiliates Meeting 2014 25
DKM & Rate vs. Time Requires high number of dimensions due to discretization. Another subjective decision 05/09/2014 SCRF Affiliates Meeting 2014 26
Multivariate Time Data 05/09/2014 SCRF Affiliates Meeting 2014 27
Multivariate DKM Combined Distances on Variable 1 Distances on Variable 2 Subjective Weighting 05/09/2014 SCRF Affiliates Meeting 2014 28
F Lorenz Model Selection Based on Flow Diagnostics Phi 05/09/2014 SCRF Affiliates Meeting 2014 29
MDS and FPCA on Flow Diagnostics 05/09/2014 SCRF Affiliates Meeting 2014 30
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