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Studies for Modeling CO 2 Processes: Pressure Management, Basin-Scale Models, Model Comparison, and Stochastic Inversion ESD09-056 Jens T. Birkholzer with Abdullah Cihan, Marco Bianchi, Quanlin Zhou, Xiaoyi Liu, Sumit Mukhopadhyay, Dorothee


  1. Studies for Modeling CO 2 Processes: Pressure Management, Basin-Scale Models, Model Comparison, and Stochastic Inversion ESD09-056 Jens T. Birkholzer with Abdullah Cihan, Marco Bianchi, Quanlin Zhou, Xiaoyi Liu, Sumit Mukhopadhyay, Dorothee Rebscher, Barbara Fialeix Lawrence Berkeley National Laboratory U.S. Department of Energy National Energy Technology Laboratory Carbon Storage R&D Project Review Meeting Developing the Technologies and Infrastructure for CCS August 20-22, 2013

  2. Presentation Outline • Benefit to the Program • Project Overview and Technical Status – Task 1: Optimization of Brine Extraction for Pressure Management and Mitigation – Task 2: Basin-scale Simulation of CO 2 Storage in the Northern Plains – Prairie Basal Aquifer – Task 3: Sim-SEQ Model Comparison – Task 4: Efficient Methods for Stochastic Inversion of Uncertain Data Sets • Accomplishments to Date • Project Summary 2

  3. Benefit to the Program • Task 1 provides technology that improves reservoir storage efficiency while ensuring containment – This task develops optimization methods, and associated simulation tools, to design pressure management solutions at minimal cost • Tasks 2 and 3 provide methodology that supports industries’ ability to predict (or control) CO 2 storage capacity in geologic formations to within ±30 percent – Task 2 applies simulation capabilities to evaluate dynamic storage capacity for one of the largest storage reservoirs in North America – Task 3 conducts model comparison for a selected GCS site to better understand and quantify model uncertainty • Task 4 develops technology to ensure 99% storage permanence – This task provides new methods to substantially improve current 3 inversion capabilities for site characterization and monitoring data

  4. Project Overview Task 1 : Optimization of Brine Extraction for Pressure Management and Mitigation • Objectives – Develop optimization methodology for pressure management via brine extraction – Conduct pressure management with minimal brine extraction volumes while meeting desired reservoir performance goals Example: Critically stressed fault • Impact-Driven Pressure Management (IDPM) – Define specific (local) performance criteria (e.g., maximum pressure near fault zone, maximum leakage rate, maximum caprock pressure) – Via smart search algorithms, automatically optimize well locations and brine extraction rates to meet performance criteria 4

  5. Technical Status Task 1 : Optimization of Brine Extraction for Pressure Management and Mitigation • Optimization Methodology Development (FY12 and FY13) – Develop inverse modeling and optimization methodology using iTOUGH2 coupled to analytical solution for simplified studies (in Birkholzer et al., IJGGC, 2012) – Incorporate higher-fidelity simulators such as multiphase flow models into optimization framework for complex applications – Improve optimization efficiency for well placement scenarios coupling global and gradient-based methods • Pressure Management Applications (FY12 and FY13) – Proof-of-concept studies (e.g., simplified geology and scenarios, single and multiple performance criteria, active and passive relief) (in Birkholzer et al., IJGGC, 2012) – More realistic scenarios involving multiphase inversions to handle more complexity (e.g., complex geology, heterogeneity, CO 2 breakthrough) – IDPM optimization of one real CO 2 sequestration site • Expansion of Optimization Method to Storage Management (FY14) – Design and demonstrate storage management optimization for improved injectivity and enhanced CO 2 trapping – Design of real-time storage management schemes

  6. Task 1 : Optimization Methodology Using iTOUGH2 and Suite of Forward Simulation Tools • iTOUGH2 provides inverse modeling capabilities for multi-phase simulator TOUGH2 or, via PEST interface, other forward prediction tools • For IDPM, iTOUGH2 was expanded to include new global search algorithms, and was linked to efficient vertical-equilibrium forward simulators Forward Predictors Input Parameter Set p PEST • (1) Analytical Solution Input Template File – Single-phase flow in File homogeneous infinite multi- layer systems – No CO 2 migration Increasing Efficiency Increasing Realism • (2) Simulators Based on Vertical Integration Output Variables z – Sharp-Interface Models – Vertically Integrated Multi- ∂ z/ ∂ p p=f(z*-z) F(z(p)) Phase Models PEST Output – CO 2 migration in complex Instruction File and heterogeneous systems Further Analyses File • (3) Simulator TOUGH2 – Multi-phase flow in full 3D systems

  7. Task 1 : Efficient Optimization Strategies for Large-Scale Pressure Management Problems • Specifically for well placement problems, objective functions can have multiple local optima in the solution space; in such cases, global optimization methods are preferred (but they are not as efficient because they multiple forward runs) • Gradient-based local optimization methods are faster and better suited for optimization of extraction/injection rates f x i Global minimum

  8. Task 1 : Two-Step Strategy for Optimization of Well Placement and Brine Extraction • Efficient solution is achieved by combining a global parallel search algorithm for well placement with a gradient-based local search algorithm for estimation of extraction rates • Time-dependent extraction rates are defined as functional relationships (so that a few functional parameters need to inverted for, rather than stepwise rates) Differential Evolution Levenberg-Marquardt Algorithm (DEA) Algorithm, (LM) • Optimize well locations with • Use LM to estimate optimum simplified models and reduced time-dependent actual number of parameters (e.g. fixed extraction rates satisfying extraction rates) performance criteria. • Wells constrained to be at sufficient distance away from CO 2 plume Main Stages of Differential Evolution Algorithm (Storn and Price, 1997) Selection Mutation Initialization Crossover

  9. Task 1 : Verification of Solution Accuracy and Efficiency Test Problem 2: A scenario with heterogeneity and multiple Test Problem 1: Verification against a injection wells near a fault. DEA and LM are used sequentially to problem with known solution. Two-step optimize well placement, injection rates, and extraction rates for method reached the correct solution. preventing fracturing and fault reactivation. Extraction ratio: 22% 0.16 Facies 4 Injection 0.14 3 3 /s) 2 1 Optimized Pumping Rates (m 0.12 0.1 0.08 Extraction CO 2 Injection 0.06 Fault-1 Well 0.04 Initial guess 0.02 0 0 10 20 30 40 Time (yr) 40000 60000 80000 -12000 Model Easting (m) 100 -10000 3 /d) Ave S CO2 5 0.4 Optimized Extraction Rate (m 10 Maximum Pressure Buildup (bar) 5 0.35 50000 Threshold for Fracking -8000 0.3 80 0.25 20 0.2 Model Northing (m) 1 0.15 40000 0 -6000 0.1 Extraction Wells 3 0 60 10 5 0 2 30000 -4000 4 5 0 50 Injection Zone 40 Fault Zone 4 0 70 20 -2000 20000 30 10 5 0 3 Injection Zone 20 10 0 10000 5 5 Threshold for Fault Activation 2000 0 0 10000 20000 30000 0 10 20 30 40000 60000 80000 Time (yr) Time (d) Model Easting (m)

  10. Task 1 : Application of IDPM for CO 2 Injection in the Vedder Formation (Southern Joaquin Valley, California) 4000 3990 3980 New Hope 2 3970 Top of Vedder Elevation 1 e 3960 p o H w ) e Sierra Nevada N 3950 g ( km Pond 3940 Poso Creek Kern Gorge Greeley 3930 Kern Front 3920 3910 Southern San Joaquin Basin 3900 3890 260 270 280 290 300 310 320 330 340 km

  11. Task 1 : Results for Injection of 5 Mt CO 2 per year Over 50 Years Without Pressure Management Homogeneous Reservoir (Time=50yr,k reserv /k fault =100) Heterogeneous Reservoir (Time=50yr,k reserv /k fault =100)

  12. Task 1 : Optimized Well Placement and Extraction Rates for Homogeneous Scenario

  13. Task 1 : Optimized Well Placement and Extraction Rates for Heterogeneous Scenario

  14. Project Overview Task 2 : Basin-scale Simulation of CO 2 Storage in the Northern Plains – Prairie Basal Aquifer • Objective – Conduct high-performance regional-scale simulations of future CO 2 storage scenarios in the Northern Plains – Prairie Basal Aquifer (Alberta and Williston Basin) determine the distribution, migration, and long term fate of multiple CO 2 plumes o evaluate pressure perturbation and brine migration effects o evaluate the dynamic storage capacity of the aquifer o • Technical Status – Obtained 3D geologic model developed based on characterization data from our project partners EERC (United States) and AITF (Canada) – Analyzed spatial variability of rock properties and in situ reservoir conditions, and determined potential storage sites and injectors – Developed 3D CO 2 -brine flow model with local mesh refinement around 127 injection wells at 16 storage sites over a 1500 km x 1600 km domain – Predicted the system response to multiple CO 2 injections; comparison with simpler solutions is 14 ongoing

  15. Task 2 : 3D Geologic Model for the Basal Aquifer Top Elevation and Thickness Porosity/Permeability In Situ P/T/X – EERC/AITF collected all well data in the Alberta Basin and the Williston Basin covering the model domain – The Basal Aquifer consists of 25 model layers – Porosity/permeability in all layers was generated using 15 geostatistical approach with conditioning

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