Fractal Models in Exploration Geophysics, Volume 41

1st Edition

Applications to Hydrocarbon Reservoirs

Authors: V.P. Dimri R.P. Srivastava Nimisha Vedanti
Hardcover ISBN: 9780080451589
eBook ISBN: 9780080914442
Imprint: Elsevier Science
Published Date: 31st May 2012
Page Count: 184
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Table of Contents

Chapter 1: Introduction of Fractals and Application to Gravity and Magnetic Data
1.1 Introduction
1.2 Fractal and Scaling
1.3 Behavior of Physical Properties
1.4 Interpretation of Gravity and Magnetic Data
1.5 Spectral Analysis
1.6 Scaling Spectral Analysis
1.7 Nonstationary Gravity and Magnetic Profiles
1.8 Field Example: Kuppam-Palani, South India
1.9 Characterization of Time Series for Fractal Behaviour
1.10 Simulation of 1D/2D Fractal Time/Space Series
1.11 Examples: Synthesis of Fractal Time Series
1.12 Fractal Dimension and Design of Geophysical Surveys
1.13 Conclusion

Chapter 2: Structural Modeling Using Fractals
2.1 Introduction
2.2 Tessellation
2.3 Automated Perturbation of Model: Some Synthetic Examples
2.4 Computation of Gravity Response: A Case Study
2.5 Conclusion

Chapter 3: Fractal Inversion
3.1 Introduction
3.2 Seismic Inversion
3.3 Generation of Fractal-Based Initial Model
3.4 Very Fast Simulated Annealing
3.5 Stochastic Inversion
3.6 Deterministic Inversion
3.7 Analysis of Results
3.8 Conclusion

Chapter 4: Seismic Reservoir Monitoring
4.1 Introduction
4.2 Rock Physics Study
4.3 Changes Due to Pressure
4.4 Acquisition of 4D Sseismic Data
4.5 Repeatability
4.6 Processing of 4D Seismic Data
4.7 Analysis of 4D Seismic Data
4.8 Poststack Versus Prestack Analysis
4.9 Fractal-Based 4D Inversion
4.10 Time-Lapse AVO: Distinguish Between Pressure and Saturation Changes
4.11 Conclusion with Limitations and Challenges in Time-Lapse Study

Chapter 5: Reservoir Geophysics: Some Basic Concepts
5.1 Introduction
5.2 Hydrocarbon Reservoir
5.3 Reservoir Rock Properties
5.4 Fractal Porosity
5.5 Permeability
5.6 Reservoir Rock Capillary Properties
5.7 Properties of Reservoir Fluids
5.8 Conclusion

Chapter 6: Fluid Flow and Recovery
6.1 Introduction
6.2 Fluid Flow in the Reservoir


Researchers in the field of exploration geophysics have developed new methods for the acquisition, processing and interpretation of gravity and magnetic data, based on detailed investigations of bore wells around the globe. Fractal Models in Exploration Geophysics describes fractal-based models for characterizing these complex subsurface geological structures.

The authors introduce the inverse problem using a fractal approach which they then develop with the implementation of a global optimization algorithm for seismic data: very fast simulated annealing (VFSA). This approach provides high-resolution inverse modeling results—particularly useful for reservoir characterization.

Key Features

  • Serves as a valuable resource for researchers studying the application of fractals in exploration, and for practitioners directly applying field data for geo-modeling
  • Discusses the basic principles and practical applications of time-lapse seismic reservoir monitoring technology - application rapidly advancing topic
  • Provides the fundamentals for those interested in reservoir geophysics and reservoir simulation study
  • Demonstrates an example of reservoir simulation for enhanced oil recovery using CO2 injection


Exploration and reservoir geophysicists, students


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About the Authors

V.P. Dimri Author

Affiliations and Expertise

CSIR-National Geophysical Research Institute, Hyderabad, India

R.P. Srivastava Author

Affiliations and Expertise

CSIR-National Geophysical Research Institute, Hyderabad, India

Nimisha Vedanti Author

Affiliations and Expertise

CSIR-National Geophysical Research Institute, Hyderabad, India