Conditional Simulation of Complex Geological Structures Using Multiple-Point Statistics

In many earth sciences applications, the geological objects or structures to be reproduced are curvilinear, e.g., sand channels in a clastic reservoir. Their modeling requires multiple-point statistics involving jointly three or more points at a time, much beyond the traditional two-point variogram...

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Published inMathematical geology Vol. 34; no. 1; pp. 1 - 21
Main Author Strebelle, Sebastien
Format Journal Article
LanguageEnglish
Published Heidelberg Springer 01.01.2002
Springer Nature B.V
Subjects
Online AccessGet full text
ISSN0882-8121
1874-8961
1573-8868
1874-8953
DOI10.1023/A:1014009426274

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Abstract In many earth sciences applications, the geological objects or structures to be reproduced are curvilinear, e.g., sand channels in a clastic reservoir. Their modeling requires multiple-point statistics involving jointly three or more points at a time, much beyond the traditional two-point variogram statistics. Actual data from the field being modeled, particularly if it is subsurface, are rarely enough to allow inference of such multiple-point statistics. The approach proposed in this paper consists of borrowing the required multiple-point statistics from training images depicting the expected patterns of geological heterogeneities. Several training images can be used, reflecting different scales of variability and styles of heterogeneities. The multiple-point statistics inferred from these training image(s) are exported to the geostatistical numerical model where they are anchored to the actual data, both hard and soft, in a sequential simulation mode. The algorithm and code developed are tested for the simulation of a fluvial hydrocarbon reservoir with meandering channels. The methodology proposed appears to be simple (multiple-point statistics are scanned directly from training images), general (any type of random geometry can be considered), and fast enough to handle large 3D simulation grids.[PUBLICATION ABSTRACT]
AbstractList In many earth sciences applications, the geological objects or structures to be reproduced are curvilinear, e.g., sand channels in a clastic reservoir. Their modeling requires multiple-point statistics involving jointly three or more points at a time, much beyond the traditional two-point variogram statistics. Actual data from the field being modeled, particularly if it is subsurface, are rarely enough to allow inference of such multiple-point statistics. The approach proposed in this paper consists of borrowing the required multiple-point statistics from training images depicting the expected patterns of geological heterogeneities. Several training images can be used, reflecting different scales of variability and styles of heterogeneities. The multiple-point statistics inferred from these training image(s) are exported to the geostatistical numerical model where they are anchored to the actual data, both hard and soft, in a sequential simulation mode. The algorithm and code developed are tested for the simulation of a fluvial hydrocarbon reservoir with meandering channels. The methodology proposed appears to be simple (multiple-point statistics are scanned directly from training images), general (any type of random geometry can be considered), and fast enough to handle large 3D simulation grids.[PUBLICATION ABSTRACT]
Author Strebelle, Sebastien
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10.1007/978-94-011-1739-5_18
10.1016/0098-3004(94)90069-8
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Keywords geostatistics
reservoir rocks
algorithms
hydrocarbons
reservoirs
variograms
digital simulation
channel geometry
image analysis
heterogeneity
fluvial environment
sand
stochastic models
numerical models
geometry
statistical analysis
meanders
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Springer Nature B.V
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References C. V. Deutsch (364915_CR6) 1996; 28
H. Omre (364915_CR15) 1991
F. Guardiano (364915_CR10) 1993
A. G. Journel (364915_CR12) 1993
C. V. Deutsch (364915_CR5) 1998
H. H. Haldorsen (364915_CR11) 1990; 42
T. T. Tran (364915_CR21) 1994; 20
E. S. Roberts (364915_CR16) 1998
W. Xu (364915_CR22) 1996; 28
364915_CR8
P. Goovaerts (364915_CR9) 1997
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A. G. Journel (364915_CR14) 1989; 1
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364915_CR17
M. Srivastava (364915_CR18) 1995
C. L. Farmer (364915_CR7) 1988
J. S. Bridge (364915_CR1) 1979; 26
References_xml – start-page: 133
  volume-title: Geostatistics-Troia, Vol. 1
  year: 1993
  ident: 364915_CR10
  doi: 10.1007/978-94-011-1739-5_12
– start-page: 213
  volume-title: Geostatistics-Troia, Vol. 1
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Snippet In many earth sciences applications, the geological objects or structures to be reproduced are curvilinear, e.g., sand channels in a clastic reservoir. Their...
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SubjectTerms Earth sciences
Earth, ocean, space
Exact sciences and technology
Geological structures
Geology
Hydrocarbons
Mathematical models
Reservoirs
Sedimentary rocks
Statistics
Stratigraphy
Training
Title Conditional Simulation of Complex Geological Structures Using Multiple-Point Statistics
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