3-D Grid Types in Geomodeling and Simulation How the Choice of the Model Container Determines Modeling Results*

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3-D Grid Types in Geomodeling and Simulation How the Choice of the Model Container Determines Modeling Results* Jim Thom 1 and Christian Höcker 2 Search and Discovery Article #40477 (2009) Posted December 23, 2009 * Adapted from oral presentation at AAPG Annual Convention and Exhibition, Denver, Colorado, USA, June 7-10, 2009. 1 JOA Oil and Gas Houston LLC, Houston Texas USA (Jim.Thom@joaoilandgas.com) 2 JOA Oil and Gas BV, Delft, Netherlands Abstract Requirements for subsurface modeling have changed substantially over the past years: the perception that limits of hydrocarbon availability are in sight has moved attention in exploration and development to more complex reservoirs; more data has become available for predicting and monitoring performance that now need to be integrated in subsurface models. Targets for (re)development have become more sophisticated and depend more critically on accurate models of geometry and actual properties. This paper attempts to analyze the requirements of static modeling at reservoir to basin scales and simulation of dynamic subsurface behavior, covering fluid flow as well as geomechanical response to man-made changes in the subsurface. A quick look back into methods for describing subsurface reservoirs tells us that over the past 15 years using 2-D maps as carrier of geometry and property information have been gradually replaced by 3-D reservoir models, usually built for single reservoir intervals. Maps are still an important means of documentation for securing funding and getting well plans certified, but in general are a derivative of 3-D reservoir models. The latter are now the main mechanism by which a thorough understanding of subsurface processes and their impact on hydrocarbon availability is created. As understanding of processes grew, it has become apparent that static reservoir properties are not static but time-variant, being influenced by phenomena at scales greatly different from that of reservoirs. Production is affected by mechanical processes at foot scale as well as by full-field compaction responding to underburden and overburden up to surface. Large-scale models are also required when using 4D seismic data as a constraint in reservoir modeling and simulation. Effectively the phenomena to be considered for a balanced solution occur at 5 orders of magnitude. Complex or just Copyright AAPG. Serial rights given by author. For all other rights contact author directly.

very mature assets cannot be optimized based on single reservoir models. What is required are multi-scale, 3-D consistent representations of the subsurface - in other words, we still need Shared Earth Models even though the term has become less fashionable. Another learning has been that production data are often not accurate enough for optimizing mature fields, shifting the focus from detailed history matching to real-time measurements of the current performance and using this information for continuous optimization of asset performance. To do so one needs an evergreen model. Therefore, our subsurface models should not only be comprehensive but also easily updatable. Current reality is different though and practice in maturation teams is frequently pitched at lower levels of sophistication and integration. Sometimes for a good reason - there are indeed cases where re-development can be done well on the basis of decline curve analysis and where models or tools are of secondary importance to experience and skill. However, simple assets can become complex when aging and the number of experienced engineers capable of running a field by decline curves is getting smaller. While integration is required, practice often shows workflows where optimization occurs in single expertise areas. So what is causing this underperformance of all past integration attempts? In our opinion a significant blocker to integration has so far been overlooked; it is actually the heart of all modeling packages, the so-called 3-D gridder that determines how comprehensive models can be and how easily they can be updated. Reference Mallet, J-L., 2008, Numerical Earth Models, in Education Tour series 3: EAGE, 147 p.

3D Grid Types in Geomodeling and Simulation How the Choice of the Model Container Determines Modeling Results Jim Thom & Christian Höcker, JOA Oil & Gas

Reservoir Development Trends Clear Industry trend: from 2D Grids/Maps and Decline Curves to 3D Reservoir Models and 3D Dynamic Simulations Drivers: Even simple reservoirs get complex when maturing Assets currently under development are more complex than those developed 10 years ago Requirements by banks and regulatory bodies get more stringent But: Maps are still important documentation means

Oil Field Management based on Integrated Reservoir Modeling: Generic Workflow Structural Framework Modeling 3D-Gridding with Layer Modeling Property Modeling Upscaling Numerical Simulation

from Schlumberger Fault-Horizon Structural Framework Model

from Schlumberger Exploded Layer Model

Geocellular Property modeling Data analysis Simulation

Notes by Presenter: Corner geometry to cell centered geometry from perm transmissibility

images from Schlumberger Upscaling Properties from Geological Grid to Simulation Grid Why Upscaling? CPU time in simulation grows exponentially with number of cells An accurately upscaled simulation grid has got: Similar breakthrough time of displacement front Similar shape of displacement front Similar recovery

Notes by Presenter: Stress from well scale 6 inches to seismic 20 ft to gravity and magnetic data hundreds of feet scale of 1:1000

3D Grid Types used in Geological Modeling Pillar Grid SKUA Grid S-Grid Faulted S-Grid by Petrel, gocad, Irap RMS by Paradigm various applications by JewelSuite

from Schlumberger Pillar Grid All Sloping Vertical Boundary All Vertical

Notes by Presenter: Stress strike slip and listric faulting

Notes by Presenter: Easier to implement surface consistent geostats, paleo reconstruction questionable ability to go into simulators (translation) to sugar cube

Conventional S-Grid features: orthogonal footprint at all levels vertical cell stack faults are voxellized into steps of vertical and horizon-parallel segments no restrictions to geometry/topology handling except for granularity; sampling of layers may be poor with dips over 45 degrees

Faulted (orthogonal) S-Grid Jewel Grid Salt cushion Reverse faults features: orthogonal footprint at all levels vertical cell stack cells are split exactly where intersected by faults as interpreted no restrictions to geometry/topology handling but sampling of layers may be poor with dips over 45 degrees X-faults

Notes by Presenter: Range of uncertainty changes as field gets developed. Dynamic modeling changes entire concept like flank structures and connectivity (new models need to be tried) many times oil water contacts pressures etc new oil types

Simulation Grids

Notes by Presenter: Simulation grids built from 3D geological models Grid should follow most of the geologically important features Maintain orthogonality and smoothness Maintain vertical cell stacks for gravity and drainage\

from Mallet 2008 Flow Simulators do not know about cells they only understand nodes with volumes and pipes with transmissibility

SPE10 Benchmark Sensor + CMG IMEX Black Oil Model Heterogeneous permeability's + porosity Little - no structure no faults 5 spot pattern water injection Porosity Permeability

SPE10 Benchmark S-Grid versus Faulted S-Grid: Oil Production Rate Spe10 run in Sensor : Oil production rate Spe10 run in IMEX : Oil production rate Spe10 run in SENSOR coupled with S-grid: Oil production rate Spe10 run in IMEX coupled with S-grid: Oil production rate

SPE10 Benchmark S-Grid versus Faulted S-Grid: Average Reservoir Pressure Spe10 run SENSOR Average Reservoir Pressure Spe10 run in IMEX Average Reservoir Pressure Spe10 run in SENSOR coupled with Faulted S-grid : Average Reservoir Pressure Spe10 run in IMEX coupled with Faulted S-grid : Average Reservoir Pressure

Grid Simulation Comparison Porosity + Kz Injector Well 3 Injector Faulted S Grid SGrid Pillar Grid 17 December 2009 Copyright JOA 2005-2009 23

3D Grid Simulation Benchmark Water Production Differencess CMG IMEX fine faulted S Grid fine S grid coarse faulted S Grid fine pillar grid Well #3 Watercut coarse S grid coarse pillar grid ~10 Years ~6 Years

3Dgrid Simulation Benchmark Test CMG IMEX runs Distribution of Saturation Faulted S-Grid S-Grid Pillar Grid

Communication between Geological and Simulation Grids

Model on right side develops it s own personality. Organizationally effectiveness

Closed-Loop IRM Workflow

Grid Ranking Criteria imposed by Simulation Number of cells needed to describe detailed geometries (coming from geology) to maintain appropriate resolution at critical locations Orthogonality of cells efficiency and numerical accuracy of simulation Alignment with meaningful flow measures (K bed parallel, K bed normal ) Alignment with gravity

Conclusions FlowGrids should be be (semi-)vertical -gravity For low to medium dip reservoirs, geological grids should be be vertical, to serve as a container for geomechanical and geophysical properties; for high-dip, folded and thrusted reservoirs SKUA grids will be a more appropriate container Aligning grids with faults is not usually a good idea, even though it is simple to implement when linking geological to simulation models The Faulted S Grid approach makes geological and simulation grids most similar, facilitating optimum feed-back from simulation to geological Modeling (e.g. history match process) Due to its scale-independent geometry representation, the Faulted S Grid is the ideal Shared Earth model container, supporting property storage at various resolutions and in a grid lay-out that aligns with the geophysical data sources and simulation needs.