Abstract
Passive seismic is a direction of human activity, due to which the prospecting of hydrocarbons can be performed by producing a minimal amount of drilling. The synthetic data are presented as arrival times of waves from regional events. Seismic rays pass through the thin layers that compose 2-D hydrocarbon model. The conventional view views mathematical methods as weakly reliable in a detection of hydrocarbons. Nevertheless we demonstrate that numerical reconstruction of seismic velocities in the gas-saturated reservoir can be accurate if the tactic of solution includes a statistical analysis of different subsets of observations and a selection of computational techniques, which resolve a complexity of the structure. Unconventional computing is in that we first make an assumption about geophysical properties of a subject, and only then the appropriate calculation scheme is chosen with following checking of parameters of a resolution. The basic techniques involve the relaxation scheme of the gradient descent method or CSSA to retrieve the large-size structure beneath the gas reservoir and the modification of Gaussian elimination that is effective to overcome the problem of an uncertain error of seismic observations.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
K. Aki, W.K.H. Lee, Determination of three-dimensional velocity anomalies under a seismic array using first P-arrival times from local earthquakes: 1. A homogeneous initial model. J. Geophys. Res. 81(23), 4381–4399 (1976)
G.E. Backus, J.F. Gilbert, The resolving power of gross earth data. Geophys. J. R. Astron. Soc. 16, 169–205 (1968)
S. Ito, W. Ellsworth, Y. Iio, Complex fault patterns in Western Nagano, Japan revealed by the double-difference method. Eos, Trans. Am. Geophys. Union. 82(47), F870 (2001)
A. Jakovlev, G. Rümpker, M. Lindenfeld, I. Koulakov, A. Schumann, N. Ochmann, Crustal seismic velocities of the Rwenzori region, east African rift, from local travel-time tomography: evidence for low-velocity anomalies beneath the mountain range. Bull. Seism. Soc. Am. 101(2), 848–858 (2011)
C. Jing, J.J. Carazzone, E.M. Rumpfhuber, R.L. Saltzer, T.A. Dickens, A.A. Mullur, Patent application title: Hydrocarbon Detection with Passive Seismic Data. IPC8 Class: AG01V128FI. USPC Class: 367 73. Class name: Synthetic seismograms and models. Patent application number: 20110255371 (2011)
C. Lanczos, Applied Analysis (Prentice Hall, Englewood Cliffs, 1956)
M.M. Lavrentiev, V.G. Romanov, Three linearized inverse problems for hyperbolic equations. Soviet Math. Dokl. 7, 1650–1652 (1966)
M.M. Lavrentiev, Some Improperly Posed Problems in Mathematical Physics. Tracts in Natural Philosophy, vol. 11, (Springer, Berlin, 1967)
J.J. Leveque, L. Rivera, G. Wittlinger, On the use of the checker-board test to assess the resolution of tomographic inversions. Geophys. J. Int. 115, 313–318 (1993) (Blackwell)
E.H. Moore, On the reciprocal of the general algebraic matrix. Bull. Am. Math. Soc. 26, 394–395 (1920)
C.C. Paige, M.A. Saunders, LSQR: an algorithm for sparse linear equations and sparse least squares. ACM Trans. Math. Soft. 8, 43–71, 195–209 (1982)
G.L. Pavlis, Appraising earthquake hypocenter location errors: a complete practical approach for single-event locations. Bull. Seism. Soc. Am. 76, 1699–1717 (1986)
R.A. Penrose, Generalized inverse for matrices. Proc. Cambridge Philos. Soc. 51, 406–413 (1955)
H. Ren, G. Goloshubin, Spectra crossplot. Lead. Edge. 1563, 1562–1566 (2007)
J.R.R. Ritter, M. Jordan, U. Christensen, U. Achauer, A mantle plume below the Eifel volcanic fields, Germany. Earth Planet. Sci. Lett. 186, 7–14 (2001)
V.G. Romanov, Some Inversion Problems for Hyperbolic Equations (in Russian) (Nauka, Novosibirsk, 1972)
A.N. Shiryaev, Probability (Springer, New York, 2008)
T.A. Smaglichenko, A.V. Nikolaev, S. Horiuchi, A. Hasegawa, The method for consecutive subtraction of selected anomalies: the estimated crustal velocity structure in the 1996 Onikobe (M = 5.9) earthquake area (1996), northeastern Japan. Geophys J. Int. 153, 627–644 (2003) (Blackwell)
T.A. Smaglichenko, Modification of Gaussian elimination for the complex system of seismic observations. Founded by Stephen Wolfram 20(3), 229–241 (2012) (Complex systems Publications, Inc. USA), http://www.complex-systems.com/index.html
T.A. Smaglichenko, H. Shigeki, T. Kaori, A differentiated approach to the seismic tomography problem: method, testing and application to the western Nagano fault area (Japan). Int. J. Appl. Earth Obs. Geoinf. 16, 27–41 (2012) (Elsevier)
V.V. Tetelmin, V.A. Yazev, Basics of Drilling for Oil and Gas (Editorial URSS, Moscow, 2009)
R.W. Wiggins, The general linear inverse problem: Implication of surface waves and free oscillations for earthstructure. Rev. Geophys. Space Phys. 10, 251–285 (1972)
G.J. Wolfe, I.T. Bjarnason, J.C. VanDecar, S.C. Solomon, Seismic structure of the Iceland mantle plume. Nature 385(16), 245–247 (1997)
Acknowledgments
We thank the organizers of the Symposium. Since the last ICNAAM conference we had a fruitful discussion of subject of complexity. This helped in developing of the computational tactic that is presented in this study. Our thanks go to Reviewers for providing of comments, owing to which the description of consistency between computational and seismic models has been extended.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Smaglichenko, T.A., Sayankina, M.K., Smaglichenko, A.V. (2014). Computational Tactic to Retrieve a Complex Seismic Structure of the Hydrocarbon Model. In: Zelinka, I., Sanayei, A., Zenil, H., Rössler, O. (eds) How Nature Works. Emergence, Complexity and Computation, vol 5. Springer, Heidelberg. https://doi.org/10.1007/978-3-319-00254-5_10
Download citation
DOI: https://doi.org/10.1007/978-3-319-00254-5_10
Published:
Publisher Name: Springer, Heidelberg
Print ISBN: 978-3-319-00253-8
Online ISBN: 978-3-319-00254-5
eBook Packages: EngineeringEngineering (R0)