
Reservoir Modelling
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Reservoir Modelling offers a comprehensive guide to the procedures and workflow for building a 3-D model. Designed to be practical, the principles outlined can be applied to any modelling project regardless of the software used. The author -- a noted practitioner in the field -- captures the heterogeneity due to structure, stratigraphy and sedimentology that has an impact on flow in the reservoir.
This essential guide follows a general workflow from data QC and project management, structural modelling, facies and property modelling to upscaling and the requirements for dynamic modelling. The author discusses structural elements of a model and reviews both seismic interpretation and depth conversion, which are known to contribute most to volumetric uncertainty and shows how large-scale stratigraphic relationships are integrated into the reservoir framework. The text puts the focus on geostatistical modelling of facies and heterogeneities that constrain the distribution of reservoir properties including porosity, permeability and water saturation. In addition, the author discusses the role of uncertainty analysis in the static model and its impact on volumetric estimation. The text also addresses some typical approaches to modelling specific reservoirs through a mix of case studies and illustrative examples and:
* Offers a practical guide to the use of data to build a successful reservoir model
* Draws on the latest advances in 3-D modelling software
* Reviews facies modelling, the different methods and the need for understanding the geological interpretation of cores and logs
* Presents information on upscaling both the structure and the properties of a fine-scale geological model for dynamic simulation
* Stresses the importance of an interdisciplinary team-based approach
Written for geophysicists, reservoir geologists and petroleum engineers, Reservoir Modelling offers the essential information needed to understand a reservoir for modelling and contains the multidisciplinary nature of a reservoir modelling project.
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Steve Cannon is a geologist by profession, a petrophysicist by inclination and a reservoir modeller by design. He worked as a geologist and petrophysicist in all sectors of the oil and gas industry including government, oil companies, and the service sector. Cannon is a Past-President of the London Petrophysical Society.
Content
Preface xiii
1 Introduction 1
1.1 ReservoirModelling Challenges 3
1.2 Exploration to Production Uncertainty 4
1.3 Content and Structure 6
1.4 What is a Reservoir Model? 9
1.4.1 ReservoirModel Design 12
1.5 The ModellingWorkflow 13
1.5.1 Project Planning 15
1.5.2 What Type of Model Are You Planning to Build? 16
1.6 An Integrated Team Structure for Modelling 17
1.7 Geostatistics 19
1.8 Data Sources and Scales 22
1.9 Structural and Stratigraphic Modelling 25
1.10 FaciesModelling 25
1.11 Property Modelling 26
1.12 Model Analysis and Uncertainty 27
1.13 Upscaling 29
1.14 Summary 29
2 Data Collection and Management 31
2.1 Seismic Data 33
2.1.1 Horizons 33
2.1.2 Fault Sticks and Polygons 33
2.1.3 Surface Intersection Lines 34
2.1.4 Seismic Data Volume 34
2.1.5 Velocity Model 34
2.2 Well Data 34
2.2.1 Wellbore Path 34
2.2.2 Computer-Processed Interpretation (CPI) Logs 36
2.2.3 Core Descriptions 39
2.2.4 Core Photographs 39
2.2.5 Core Plug Data 39
2.2.6 Reservoir Zonation 41
2.2.7 Pressure Data 41
2.3 Dynamic Data 41
2.3.1 Fluid Data 41
2.3.2 Well Test Data 42
2.4 Important Specialist Data 42
2.4.1 Special Seismic Cubes and Seismic Test Lines 42
2.4.2 SCAL Data 43
2.4.3 Borehole Image Logs and Interpretations 43
2.5 Conceptual Models 43
2.6 Summary 45
3 Structural Model 47
3.1 Seismic Interpretation 47
3.1.1 Depth Conversion 52
3.1.2 Interpretation in Time Versus Depth 55
3.2 Fault Modelling 55
3.2.1 Fault Interpretation Process 59
3.2.2 Fault Naming 59
3.3 Horizon Modelling 62
3.4 Quality Control 62
3.5 Structural Uncertainty 63
3.6 Summary 64
4 StratigraphicModel 65
4.1 How Many Zones? 67
4.2 Multi-Zone Grid or Single-Zone Grids? 67
4.3 Well-to-Well Correlation 69
4.4 Geocellular Model 70
4.4.1 Capturing Heterogeneity 71
4.5 Geological Grid Design 75
4.5.1 Goals of Geological Grid Design 76
4.5.2 Orientation of the Geological Grid 77
4.5.3 The SmartModel Concept 79
4.6 Layering 79
4.6.1 Potential Dangers Using Conformable Grids 81
4.6.2 Erosion 83
4.7 Grid BuildingWorkflow 83
4.8 Quality Control 84
4.9 Uncertainty 85
4.10 Summary 85
5 Facies Model 87
5.1 FaciesModelling Basics 88
5.1.1 Defining the Facies Scheme 90
5.1.2 Upscaling of Log Data (BlockingWells) 95
5.1.3 Simplified Facies Description 98
5.1.4 Verification of the Zonation and the Facies Classes 98
5.1.5 Facies Proportions fromWell Data 99
5.2 FaciesModelling Methods 99
5.2.1 Pixel-Based Methods: Indicator and Gaussian Simulation 100
5.2.2 Object-Based Methods 104
5.2.3 Multi-Point StatisticalMethods 106
5.2.4 Conditioning to a Seismic Parameter 107
5.2.5 Conditioning to Dynamic Data 107
5.3 FaciesModellingWorkflows 107
5.4 Flow Zones 112
5.5 Uncertainty 112
5.6 Summary 114
6 Property Model 115
6.1 Rock and Fluid Properties 117
6.1.1 Porosity 117
6.1.2 Water Saturation 119
6.1.3 Permeability 119
6.1.4 Poro-Perm Relationship 120
6.1.5 Capillary Pressure 121
6.1.6 Wettability 122
6.2 Property Modelling 122
6.2.1 Property ModellingWorkflow 123
6.2.2 Data Preparation 124
6.2.3 Blocking or UpscalingWell Data 126
6.3 PropertyModellingMethods 127
6.3.1 DeterministicMethods 127
6.3.2 StatisticalMethods 129
6.3.3 Modelling Porosity 132
6.3.4 Modelling Permeability 134
6.3.5 ModellingWater Saturation 136
6.3.6 Modelling Net-to-Gross (NTG) 142
6.3.7 Incorporating Seismic Attributes 143
6.3.8 How Many Realizations? 145
6.3.9 Quality Control 146
6.4 Rock Typing 146
6.5 Carbonate Reservoir Evaluation 149
6.5.1 Rock Fabric Classification 150
6.5.2 Petrophysical Interpretation 152
6.6 Uncertainty 156
6.7 Summary 156
7 Volumetrics and Uncertainty 157
7.1 Work Flow Specification 161
7.1.1 Volumetrics Terminology 161
7.1.2 Products and Results 162
7.1.3 Necessary Data 162
7.2 Volumetric ModelWork Flow 163
7.2.1 Volumetrics with Stochastic Models 163
7.2.2 Volumetrics and Grid Resolution 164
7.2.3 Geo-model/Simulation Model Comparison 164
7.2.4 Reporting Volumetric Results 165
7.3 Resource and Reserves Estimation 165
7.3.1 Petroleum Resources Management System (PRMS) 166
7.4 UncertaintyModelling 171
7.4.1 Work Flow Specification 172
7.4.2 UncertaintyModelWorkflow 175
7.4.3 Ranking Realizations 177
7.4.4 Other UncertaintyMethods 178
7.4.5 Summary 179
8 Simulation and Upscaling 181
8.1 Simulation Grid Design 182
8.1.1 Grid DesignWork Flow 182
8.1.2 What is a Corner Point Grid? 183
8.1.3 Grid Design Goals 184
8.1.4 Grid Orientation Effects 186
8.1.5 Areal Grid Construction 187
8.1.6 Areal Representation of Faults 187
8.1.7 Aquifer Modelling 188
8.1.8 Local Grid Construction 188
8.1.9 Quality Control of Grids 189
8.2 Upscaling Property Models 190
8.2.1 Statistical Averages 191
8.2.2 Renormalization 193
8.2.3 Dynamic Upscaling 193
8.2.4 Comparison of UpscalingMethods 195
8.2.5 Local, Regional and Global Upscaling 196
8.2.6 Sampling for Upscaling 197
8.2.7 SamplingMethods Overview 197
8.2.8 Upscaling Porosity 199
8.2.9 Upscaling Permeability 199
8.2.10 Upscaling Net/Gross 200
8.2.11 Water SaturationModelling 201
8.2.12 Quality Control 202
8.3 Work Flow Specification 203
8.3.1 UpscalingWorkflow 203
8.4 Summary 204
9 Case Studies and Examples 205
9.1 Aeolian Environments 205
9.1.1 Building the Model 208
9.1.2 Remodelling 209
9.2 Alluvial Environments 210
9.2.1 Building the Model 218
9.3 Deltaic Environments 219
9.3.1 Building the Model 222
9.4 Shallow Marine Environment 226
9.4.1 Building the Model 226
9.5 Deepwater Environments 229
9.5.1 Building the Model 234
9.6 Carbonate Reservoirs 235
9.7 Fractured Reservoirs 244
9.8 UncertaintyModelling 248
9.8.1 Structural Model Uncertainty 249
9.8.2 FaciesModel Uncertainty 251
9.8.3 Petrophysical Uncertainty 254
9.9 Summary 255
Afterword 259
References 267
A Introduction to Reservoir Geostatistics 273
A.1 Basic Descriptive Statistics 275
A.2 Conditional Distributions 279
A.3 Spatial Continuity 280
A.3.1 Variogram Description 282
A.3.2 Zonal and Geometric Anisotropy 282
A.3.3 Variogram Estimation 284
A.4 Transforms 285
A.5 Lag Definition 286
A.6 Variogram Interpretation 287
A.6.1 Indicator Variograms 289
A.7 Kriging 290
A.7.1 Simple and Ordinary Kriging 290
A.7.2 Kriging with a Drift 291
A.7.3 Co-kriging 291
A.7.4 Indicator Kriging 293
A.8 Simulation 293
A.8.1 Sequential Gaussian Simulation (SGS) 295
A.8.2 Sequential Gaussian Simulation with External Drift 296
A.8.3 Sequential Indicator Simulation (SIS) 297
A.8.4 Sequential Co-located Co-simulation (SGCoSim) 297
A.8.5 Sequential Indicator Co-located Co-simulation 299
A.8.6 Truncated Gaussian Simulation (TGSim) 299
A.9 Object Modelling 302
A.10 Summary 305
Index 307
Chapter 1
Introduction
The purpose of this practical guide is to summarize the procedures and workflow towards building a 3D model: the principles are applicable to any modelling project regardless of the software; in other words, this is an attempt at a practical approach to a complex and varied workflow (Figure 1.1). What we are not trying to do in this book is to build detailed geological models of depositional environments but to capture the heterogeneity due to structure, stratigraphy and sedimentology that has an impact on flow in the reservoir.
Figure 1.1 Reservoir modelling workflow elements presented as a traditional linear process showing the links and stages of the steps as outlined in the following chapters.
The key to building a reservoir model is not the software; it is the thought process that the reservoir modeller has to go through to represent the hydrocarbon reservoir they are working on. This starts with a conceptual model of the geology and a diagram of the 'plumbing' model to represent how fluids might flow in the reservoir. Modern integrated modelling software starts with seismic input in terms of both interpreted horizons and faults and seismic attribute data that characterizes reservoir from non-reservoir and ends by linking to dynamic simulation; the so-called seismic-to-simulation solution. I have always been concerned that geophysicists and reservoir engineers might forget the geology that actually creates their oil or gas accumulation.
Wikipedia defines reservoir modelling as 'the construction of a computer model of a petroleum reservoir, for the purposes of reserves estimation, field development planning, predicting future production, well placement and evaluating alternative reservoir management.' The model comprises an array of discrete cells arranged as a 3D grid populated with various attributes such as porosity, permeability and water saturation. Geological models are static representations of the reservoir or field, whereas dynamic models use finite difference methods to simulate the flow of fluids during production. You could of course construct a reservoir model using paper and coloured pencils, but analysis of that model is challenging!
Geo-modelling is 'the applied science of creating computerized representations of the Earth's crust based on geophysical and geological observations.' Another definition is 'the spatial representation of reservoir properties in an inter-well volume that captures key heterogeneities affecting fluid flow and performance.' However you define it, geo-modelling requires a balance between hard data, conceptual models and statistical representation. Whether you are working on a clastic or carbonate reservoir, the workflow is the same, although the challenges are different: in carbonate reservoirs, characterizing the petrophysical properties properly is paramount because diagenesis will usually destroy any primary deposition controls on reservoir quality. We will look at carbonate reservoir characterization separately.
A few key statements should be made at the outset:
- Every field is unique and therefore has different challenges
- Every challenge will have a unique solution
- Every solution is only valid for the given situation and therefore .
- KEEP IT SIMPLE .. at least to begin with.
1.1 Reservoir Modelling Challenges
Building a model of an oil and gas reservoir is complex and challenging as much because of the variety of data types involved as the many different steps required. The process is made easier if you can establish why you are building the model; what is the objective of the model? Today, we generally build 3D geocellular models for volumetric estimation, dynamic simulation, well planning and production optimization or to understand the uncertainty inherent in any hydrocarbon reservoir. Above all, a successful 3D model aids in the communication of concepts and the interpretation of data used to characterize a potential or producing oil or gas field.
We model reservoirs in 3D because nature is three dimensional and because the reservoir is heterogeneous and we have restricted opportunities for sampling. Additionally, to understand flow in the reservoir, we need to consider connectivity in three dimensions, rather than simple well-to-well correlation. Having built a 3D representation of the reservoir, it can be used to store, edit, retrieve and display all the information used to build the model; in effect, a model is a means to integrate data from all the subsurface disciplines, so the data are not just stored in the minds of geologists.
Reservoir modelling is also a challenge because we are dealing with a mix of geological and spatial properties and also the complex fluids present in the reservoir. The data available to build a representative model are generally either sparse, well data or poorly resolved, seismic data. The resulting model is dependent on the structural complexity, the depositional model, the available data and the objectives of the project. Building a usable reservoir model is always a compromise: we are trying to represent the reservoir not replicate it.
The advances in computer processing power and graphics over the past 20 years has meant that geoscientists can build representative models of a reservoir to capture the variability present at all the appropriate scales from the microscopic to the field scale. However, as reservoirs are complex, we need to be highly subjective about the scale at which we model and the level of detail we incorporate: a gas reservoir may well be a tank of sand but faults may compartmentalize that tank into a number of separate accumulations.
1.2 Exploration to Production Uncertainty
Even before the first exploration well is drilled on a prospect, a geologist will have estimated the likely volume of oil or gas contained in the structure; by comparing one field with another, a reservoir engineer may even have estimated a recovery factor. The volume estimated will have an upside and a downside to provide a range of values. At this stage, the volume range may have been calculated using deterministic or probabilistic methods, or a mixture of both, and will generally be quite a large spread. At each stage in the life cycle of the field, the median value and the range should ideally change in a predictable way as uncertainty is reduced through appraisal drilling and data acquisition (Figure 1.2). When there is sufficient confidence in the estimates, a development decision is made and a project can begin to spend real money! In reality, the evidence from many different field developments is that the ranges in volume are always being revised to account for new data, new ideas or new technology. This often has the effect of delaying the timing of decision-making, especially in smaller fields, where the risk of getting it wrong can have a bigger impact on value (Figure 1.3).
Figure 1.2 Idealized evolution of resources with time over the oilfield life cycle showing the reduction in uncertainty after each stage.
Figure 1.3 Actual example of resource change during appraisal and development of an oil or gas field; appraisal often continues after project sanction as too many wells may erode project economics.
In 1997, the UK government commissioned a survey to review the track record of field development in the UK sector of the North Sea with the aim of determining how reserves estimation changed from the time of project sanction to field maturity. Fields that were sanctioned between 1986 and 1996 and containing greater than 10 MMBOE were reviewed. This was done to establish the confidence the operator had in the estimated ultimate recovery they reported, the methods adopted to make the estimation and the major uncertainties in their estimation.
Until 1996, 65% of respondents said that they used deterministic methods to provide a single value with explicit upside and downside ranges; 53% reported using Monte Carlo/parametric methods, and 30% said that they adopted probabilistic estimation using multiple geological or simulation models: several companies use a mix of all the methods, which is why the percentages add up to more than 100% (Thomas, 1998). In the same survey, 30% of the respondents said that gross geological structure accounted for much of the uncertainty in the estimation of ultimate recoverable reserves; the remainder believed that the reservoir description accounted for the uncertainty. For fields under appraisal, the level of uncertainty was greater than those in production and that, in general, the estimates tended to be pessimistic rather than optimistic.
While analysing the results of the survey, it became apparent that reserves estimates have varied by plus or minus 50% in more than 40% of the fields after project sanction; this was particularly true for fields where the estimates were based on deterministic models (Figure 1.4). The economic impact on field development cannot be ignored; 60-80% more wells were required to achieve the reported reserves estimates, together with very expensive retrofitting of equipment on offshore platforms. Many of the fields surveyed were compartmentalized, fluvio-deltaic reservoirs of the Brent Province that required significant additional investment over their lifetimes. With the increased use of 3D geocellular models over the past twenty years, one would...
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