Smart Proxy Modeling. for Numerical Reservoir Simulations BIG DATA ANALYTICS IN THE EXPLORATION & PRODUCTION INDUSTRY

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1 Smart Proxy Modeling for Numerical Reservoir Simulations BIG DATA ANALYTICS IN THE EXPLORATION & PRODUCTION INDUSTRY Intelligent Solutions, Inc. & West Virginia University October 2015

2 Data Driven Analytics in E&P Early applications of Data Driven Analytics in the upstream oil and gas industry dates back to 1989 and early 1990s SPE 19619; Halliburton 1989 Well Log Interpretation SPE 19558; Exxon 1990 Drill Bit Diagnosis SPE 22843; Halliburton 1991 Formation Evaluation SPE 24287; Kappa 1992 Well Test Interpretation SPE 26427; USC 1993 Well Test Interpretation SPE 28237; WVU 1994 Reservoir Characterization SPE 28394; WVU 1994 Reservoir Characterization SPE 29220; WVU 1994 Reservoir Characterization SPE 29159; WVU 1994 Hydraulic Fracturing

3 Big Data in the E&P Applications of Big Data in the upstream Exploration & Production*: Drilling Operation: Using real-time drilling measurements (MWD & LWD) to predict drilling issues and guide the entire drilling operation for safety and efficiency. Smart Proxy: Using immense amount of data generated by numerical reservoir simulation models to better understand the reservoir and increase production & recovery. Smart Fields: Real-time, remote and efficient management of hydrocarbon reservoirs. *Not taking into account seismic surveys and equipment monitoring

4 SURROGATE RESERVOIR MODELING Smart Proxy of Numerical Reservoir Simulation and Modeling

5 Literature Hassani, et.al Amir Kabir University Iran Response Surface Model Yang, et.al ExxonMobil URC Reduced Physics Model Li, et.al Cal. Tech. Response Surface Model

6 Literature Mamonov, et.al Rice Univ. & Schlumb. Research Grid Coarsening Model Sampaio, et.al Universidad Federal de Rio de Janeiro Neural Network Model Jicong Hi, et.al Stanford University Reduced Order Model

7 Literature Not a Toy or an Academic Problem Mohaghegh & Abdulla 2014 Intelligent Solutions, Inc. & ADCO Surrogate Reservoir Model Study Completed 2005 Implemented 2006 Field Results published (SPE ) 2014 Size of the Full Field Model Formation Type Number of Wells 1MM Grid Blocks Naturally Fractured Carbonate 167 (Horizontal)

8 Literature Following four Ph.D. dissertations have recently been completed at West Virginia University, incorporating Smart Proxy Modeling: Masoud Kalantary (2013): Alireza Shahkarami (2014): Vida Ghoami (2014): Shohreh Amini (2015): Shale Numerical Modeling Assisted History Matching CO 2 -EOR of SACROC in West Texas CO 2 Storage in Geological Formations Electronic versions of these dissertations are available online for public use at WVU s Library Website.

9 Case Study: Giant Mature Oilfield Location: United Arab Emirates Operator: ADCO (Abu Dhabi Company for Onshore Oil Operations) Problem Definition: Water injection for pressure maintenance and sweep. Wells are choked back to avoid bypassing oil and high water cut Project Objective: Increase oil production from existing wells, while avoiding high water cut Identify best candidate wells for rate relaxation Numerical Model Characteristics: Naturally Fractured, Dual Porosity, Carbonate Model More than 165 wells One Million Grid Blocks Run time: 10 Hours on a cluster of 12 CPUs Intelligent Solutions, Inc. Number of Simulation Runs to Build the SRM: 8

10 Curse of Dimensionality To address curse of dimensionality, we have developed Fuzzy Pattern Recognition technology; 10

11 Fuzzy Pattern Recognition 11

12 Using SRM for Analysis Address uncertainties associated with the simulation model; Monte Carlo Simulation Identify wells that benefit from a rate relaxation program; To perform the above analyses millions of simulation runs were required. Upon development & validation, SRM provides accurate results in fraction of a second. 12

13 Optimal Production Strategy Well Ranked Well Ranked No. 100 No. 1 IMPORTANT NOTE: This is NOT a Response Surface SRM was run hundreds of times to generate these figures. 13

14 Optimal Production Strategy Wells were divided into 5 clusters Rate relaxation recommended for wells in clusters 1&2 without significant increase in water production Cluster 1 Cluster 2 Cluster 3 Cluster 4 Cluster 5 12 Wells 14 Wells 22 Wells 37 Wells 80 Wells Best Performance Avoid Rate Relaxation

15 Results From the Field Upon completion of the project management decided on allowing rate relaxation of some wells. From Jan. 1, 2006 to Feb. 17, 2007 production cap was relaxed on a total of 20 wells.

16 Results From the Field Rate Relaxation performed on 12% of Wells in the field 22 ISI Cluster No. Wells Subjected to Rate Relaxation % % % % % % % First Batch Second Batch (meters)

17 RESERVOIR SIMULATOR: ECLIPSE ADCO 1.6 Million Barrels %S w

18 RESERVOIR SIMULATOR: ECLIPSE ADCO 1.9 Million Barrels %S w

19 RESERVOIR SIMULATOR: ECLIPSE ADCO 0.6 Million Barrels %S w

20 RESERVOIR SIMULATOR: ECLIPSE ADCO 0.9 Million Barrels %S w

21 Impact of Rate Relaxation on WC 21

22 Incremental Revenue Post-Rate Relaxation Average Oil Price = $75.00/bbl 22

23 Case Study: Three Green Oilfields Intelligent Solutions, Inc. Location: Kingdom of Saudi Arabia Operator: ARAMCO Problem Definition: New (Secondary) oilfields (Two offshore and One onshore) Small number of actual wells Geological models with large uncertainties Project Objective: Quantify uncertainties associated with the geological model Identify best development strategies Numerical Model Characteristics: As many as 6.5 Million Grid Blocks Run time: Too long for large number of simulation runs, even with extensive computing resources. Number of Simulation Runs to Build the SRM: 9 Run per SRM

24 Dynamic Data from NOC s In-House Simulator Run Number Bottom-Hole Pressure (psi) For all the wells in the field Maximum Liquid Rate (bbls/d) , , ,000 10, ,500 10, ,500 15, ,500 1, (variable in steps) 10, ,500 1, (variable in steps) 15, , (variable continuous) 10, , (variable continuous) 15,000 24

25 Model Representation Permeability Porosity SRM NOC s In-House Simulator SRM NOC s In-House Simulator

26 Oil Rate (bbls/yr) RESERVOIR SIMULATOR: POWERS SAUDI ARAMCO SRM Powers Cum. Oil Production (MMbbls) Black Oil Simulation Green Field 6.5 MM Grid Blocks 26

27 Oil Rate (bbls/yr) RESERVOIR SIMULATOR: POWERS SAUDI ARAMCO SRM Powers Cum. Oil Production (MMbbls) Black Oil Simulation Green Field 6.5 MM Grid Blocks

28 RESERVOIR SIMULATOR: POWERS SAUDI ARAMCO SRM Powers Black Oil Simulation Green Field 6.5 MM Grid Blocks

29 RESERVOIR SIMULATOR: POWERS SAUDI ARAMCO SRM Powers Black Oil Simulation Green Field 6.5 MM Grid Blocks

30 RESERVOIR SIMULATOR: POWERS SAUDI ARAMCO SRM Powers Black Oil Simulation Green Field 6.5 MM Grid Blocks

31 RESERVOIR SIMULATOR: POWERS SAUDI ARAMCO SRM Powers Black Oil Simulation Green Field 6.5 MM Grid Blocks

32 SRM New Production Strategy A Completely New Production Strategy that was not used during the Development and Training Process Run Number Bottom-Hole Pressure (psi) For all the wells in the field Maximum Liquid Rate (bbls/d) 10 1,000 15,000 32

33 Blind Simulation Run Results

34 Blind Simulation Run Results

35 Blind Simulation Run Results

36 Blind Simulation Run Results

37 Blind Simulation Run Results

38 Case Study: CO 2 Storage in Geological Formations Shohreh Amini Location: Australia Field: Otway Problem Definition: CO 2 being injected in a depleted gas reservoir After primary gas production Project Objective: Examine CO 2 plume extension as a function of different injection strategies. Use the proxy model as part of a complete system optimization. Numerical Model Characteristics: 100,000 Grid Blocks Heterogeneous model Combine Outer Boundary (No-Flow & Active Aquifer) Run time: Tens of hours

39 Otway CO 2 Seq. Project, Australia In south-western Victoria to demonstrate that carbon capture and storage (CCS) is a technically and environmentally safe way to make deep cuts into Australia s greenhouse gas emissions. 39

40 Otway CO 2 Seq. Project, Australia 40

41 Otway CO 2 Seq. Project, Australia RESERVOIR SIMULATOR: AMEX COMPUTER MODELING GROUP History Matched Perm Permeability Maps High perm Low perm

42 SRM Results RESERVOIR SIMULATOR: AMEX COMPUTER MODELING GROUP 1 Month after injection Pressure psi CMG SRM Error psi Gas Saturation Fraction CMG SRM Error Fraction CO2 Mole Fraction Fraction CMG SRM Error Fraction 42

43 SRM Results RESERVOIR SIMULATOR: AMEX COMPUTER MODELING GROUP 4 Months after injection Pressure psi CMG SRM Error psi Gas Saturation Fraction CMG SRM Error Fraction CO2 Mole Fraction Fraction CMG SRM Error Fraction 43

44 SRM Results RESERVOIR SIMULATOR: AMEX COMPUTER MODELING GROUP 8 Months after injection Pressure psi CMG SRM Error psi psi Gas Saturation Fraction CMG SRM Error Fraction CO2 Mole Fraction Fraction CMG SRM Error Fraction 44

45 Case Study: CO 2 EOR in Mature Oilfield Location: West Texas Field: SACROC Problem Definition: Considerable primary production and Water flooding WAG Enhance Oil Recovery Project Objective: CO 2 and Water injection Optimization Increasing Sweep efficiency Numerical Model Characteristics: Coarse (Low Resolution) Model Fine (High Resolution) Model Alireza Shahkarami Vida Gholami

46 SACROC Unit SACROC Unit Permian Basin West Texas

47 0-1,000-2,000-3,000-4,000 SACROC CO 2 EOR Project, Texas RESERVOIR SIMULATOR: AMEX COMPUTER MODELING GROUP The Coarse Reservoir Model Pressure (kpa) K layer: ,000 2,000 3,000 4,000 5,000 6,000 7,000 8, miles km 0 1,000 2,000 3,000 4,000 5,000 6,000 7,000 8,000-5,000-4,000-3,000-2,000-1, ,000 File: input.irf User: PNGE-User Date: 4/2/2013 Scale: 1:51166 Y/X: 1.00:1 Axis Units: m 42,385 39,300 36,215 33,131 30,046 26,961 23,877 20,792 17,707 14,622 11,538 47

48 SACROC CO 2 EOR Project, Texas RESERVOIR SIMULATOR: AMEX COMPUTER MODELING GROUP Simulator (CMG) Results SRM Results % Relative Error Water Saturation Distribution # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # 0 0 # # # # # # # ## # # # # # # # # # # # # # # # # # # Actual Data: Realization # 1, Layer= 18, 100 years after Injection, Feature= SW % SRM Data: Realization # 1, Layer= 18, 100 years after Injection, Feature= SW % # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # 0 0 # # # # # # # ## # # # # # # # # # # # # # # # # # # Actual Data: Realization # 11, Layer= 18, 100 years after Injection, Feature= SW % SRM Data: Realization # 11, Layer= 18, 100 years after Injection, Feature= SW % # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # 0 0 # # # # # # # ## # # # # # # # # # # # # # # # # # # Actual Data: Realization # 12, Layer= 18, 100 years after Injection, Feature= SW % SRM Data: Realization # 12, Layer= 18, 100 years after Injection, Feature= SW % # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # Realization # 1, Layer= 18, 100 years after Injection, Feature= Absolute Error of SW % # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # Realization # 11, Layer= 18, 100 years after Injection, Feature= Absolute Error of SW % # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # Realization # 12, Layer= 18, 100 years after Injection, Feature= Absolute Error of SW % 48

49 SACROC CO 2 EOR Project, Texas RESERVOIR SIMULATOR: AMEX COMPUTER MODELING GROUP Pressure Distribution Simulator (CMG) Results SRM Results % Relative Error # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # Actual Data: Realization # 8, Layer= 18, 100 yrs after Injection, Feature= Pressure (psi) SRM Data: Realization # 8, Layer= 18, 100 yrs after Injection, Feature= Pressure (psi) # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # Actual Data: Realization # 9, Layer= 18, 100 yrs after Injection, Feature= Pressure (psi) SRM Data: Realization # 9, Layer= 18, 100 yrs after Injection, Feature= Pressure (psi) # # # # # # # # # # # # # # # # # # # # 0 # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # Realization # 8, Layer= 18, 100 yrs after Injection, Feature= Relative Error % # # # # # # # # # # # # # # # # # # # # 0 # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # Realization # 9, Layer= 18, 100 yrs after Injection, Feature= Relative Error % # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # Actual Data: Realization # 10, Layer= 18, 100 yrs after Injection, Feature= Pressure (psi) SRM Data: Realization # 10, Layer= 18, 100 yrs after Injection, Feature= Pressure (psi) Realization # 10, Layer= 18, 100 yrs after Injection, Feature= Relative Error % 49

50 Water Saturation: Blind Realizations- 9 years of Injection RESERVOIR SIMULATOR: AMEX COMPUTER MODELING GROUP Simulator (CMG) Results SRM Results # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # 0 0 # # # # # # # ## # # # # # # # # # # # # # # # # # # Actual Data: Realization # 17, Layer= 18, 9 years after Injection, Feature= SW % SRM Data: Realization # 17, Layer= 18,9 years after Injection, Feature= SW % Absolute Error # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # Start of Simulation Start of Injection 01/01/ yrs after Injection 01/01/2181 Realization # 17, Layer= 18, 9 years after Injection, Feature= Absolute Error of SW % End of Injection 01/01/

51 Pressure: Blind Realizations- 9 years of Injection RESERVOIR SIMULATOR: AMEX COMPUTER MODELING GROUP Simulator (CMG) Results SRM Results # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # Actual Data: Realization # 1, Layer= 18, 9 yrs after Injection, Feature= Pressure (psi) SRM Data: Realization # 1, Layer= 18, 9 yrs after Injection, Feature= Pressure (psi) 2172 Start of Simulation Start of Injection 01/01/ yrs after Injection 01/01/2181 % Relative Error # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # Realization # 1, Layer= 18, 9 yrs after Injection, Feature= Relative Error % End of Injection 01/01/

52 Water Saturation: Blind Realizations- 100 years after Injection RESERVOIR SIMULATOR: AMEX COMPUTER MODELING GROUP Simulator (CMG) Results SRM Results # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # 0 0 # # # # # # # ## # # # # # # # # # # # # # # # # # # Actual Data: Realization # 5, Layer= 18, 100 years after Injection, Feature= SW % SRM Data: Realization # 5, Layer= 18, 100 years after Injection, Feature= SW % Absolute Error # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # Start of Simulation Start of Injection 01/01/2172 Realization # 5, Layer= 18, 100 years after Injection, Feature= Absolute Error of SW % End of Injection 01/01/ Time Step= yrs after Injection 01/01/2272 End of Simulation 01/01/2222

53 Pressure: Blind Realizations- 100 years after Injection RESERVOIR SIMULATOR: AMEX COMPUTER MODELING GROUP Simulator (CMG) Results SRM Results # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # ## # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # Actual Data: Realization # 2, Layer= 18, 100 yrs after Injection, Feature= Pressure (psi) SRM Data: Realization # 2, Layer= 18, 100 yrs after Injection, Feature= Pressure (psi) % Relative Error # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # # Start of Simulation Start of Injection 01/01/2172 Realization # 2, Layer= 18, 100 yrs after Injection, Feature= Relative Error % End of Injection 01/01/ Time Step= yrs after Injection 01/01/2272 End of Simulation 01/01/2222

54 SACROC CO 2 EOR Project, Texas RESERVOIR SIMULATOR: AMEX COMPUTER MODELING GROUP The High Resolution Reservoir Model Permeability Porosity 54

55 SACROC CO 2 EOR Project, Texas RESERVOIR SIMULATOR: AMEX COMPUTER MODELING GROUP High Resolution Model Pressure CO 2 Mole Fraction Water Saturation 55

56 SACROC CO 2 EOR Project, Texas RESERVOIR SIMULATOR: AMEX COMPUTER MODELING GROUP High Resolution Model CO 2 Mole Fraction Pressure Water Saturation 56

57 Case Study: Shale Gas Location: Southwestern Pennsylvania Field: Marcellus Shale Problem Definition: Modeling of massive hydraulic Fracturing in Horizontal Wells Project Objective: Develop SRM that can perform full field reservoir simulation Numerical Model Characteristics: Masoud Kalantari PETREL & Eclipse was used to model and history match on pad that included six laterals.

58 Marcellus Shale Asset 136 wells on 31 multi-wells pads in Pennsylvania covers an area of 190,000 acres

59 Cluster-Based SRM

60 Matrix porosity [ ] Hydraulic fracture height [ ft] Matrix permeability [ (md)] Hydraulic fracture length [ ft] Natural fracture porosity [ ] Hydraulic fracture conductivity [ (md-ft)] Natural fracture permeability [ (md)] Rock Density [ (lb/ft3)] Sigma factor [ ] Net to Gross ratio [ ] Longmuir volume [40-85 (scf/ton)] Longmuir pressure [ psi] Diffusion coefficient [ (ft2/day)] Sorption time [1-250(day)] Initial Reservoir Pressure [ (psi)]

61 Spatio-Temporal Database Wellbore Tier 1 Tier 2 Tier 3 Tier 3 Type 1 Type 4 Wellbore Tier 2 Type 2 Type 3 Wellbore Model of a Cluster of Hydraulic Fractures

62 RESERVOIR SIMULATOR: ECLIPSE SCHLUMBERGER SRM Final Results

63 RESERVOIR SIMULATOR: ECLIPSE SCHLUMBERGER SRM Final Results

64 Thank You

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