Spatial analysis of oil reservoirs using detrended fluctuation analysis of geophysical data

Abstract. We employ the detrended fluctuation analysis (DFA) technique to investigate spatial properties of an oil reservoir. This reservoir is situated at Bacia de Namorados, RJ, Brazil. The data correspond to well logs of the following geophysical quantities: sonic, gamma ray, density, porosity and electrical resistivity, measured in 56 wells. We tested the hypothesis of constructing spatial models using data from fluctuation analysis over well logs. To verify this hypothesis, we compare the matrix of distances of well logs with the differences in DFA exponents of geophysical quantities using a spatial correlation function and the Mantel test. Our data analysis suggests that the sonic profile is a good candidate for representing spatial structures. Then, we apply the clustering analysis technique to the sonic profile to identify these spatial patterns. In addition, we use the Mantel test to search for correlations between DFA exponents of geophysical quantities.

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Spatial analysis of oil reservoirs using DFA of geophysical data

Nonlinear Processes in Geophysics Discussions ◽

10.5194/npgd-1-877-2014 ◽

2014 ◽

Vol 1 (1) ◽

pp. 877-893

Author(s):

R. A. Ribeiro ◽

M. V. M. Mata ◽

L. S. Lucena ◽

U. L. Fulco ◽

G. Corso

Keyword(s):

Gamma Ray ◽

Spatial Models ◽

Mantel Test ◽

Well Logs ◽

Fluctuation Analysis ◽

Spatial Correlation Function ◽

Analysis Technique ◽

The Matrix ◽

Ray Density ◽

Using Data

Abstract. We employ Detrended Fluctuation Analysis (DFA) technique to investigate spatial properties of an oil reservoir. This reservoir is situated at Bacia de Namorados, RJ, Brazil. The data corresponds to well logs of the following geophysical quantities: sonic, gamma ray, density, porosity and electrical resistivity, measured in 56 wells. We tested the hypothesis of constructing spatial models using data from fluctuation analysis over well logs. To verify this hypothesis we compare the matrix of distances among well logs with the differences among DFA-exponents of geophysical quantities using spatial correlation function and Mantel test. Our data analysis suggests that sonic profile is a good candidate to represent spatial structures. Then, we apply the clustering analysis technique to the sonic profile to identify these spatial patterns. In addition we use the Mantel test to search for correlation among DFA-exponents of geophysical quantities.

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DIFFICULTIES IN THE USE OF DFA TO CHARACTERIZE PETROLEUM RESERVOIRS

International Journal of Modern Physics C ◽

10.1142/s0129183111016117 ◽

2011 ◽

Vol 22 (02) ◽

pp. 123-131 ◽

Cited By ~ 4

Author(s):

R. A. RIBEIRO ◽

MARIA V. M. MATA ◽

K. C. O. COSTA ◽

F. W. F. SILVA ◽

L. S. LUCENA ◽

...

Keyword(s):

Detrended Fluctuation Analysis ◽

Gamma Ray ◽

Petroleum Reservoirs ◽

Oil Reservoirs ◽

Well Logs ◽

Fluctuation Analysis ◽

Oil Reservoir ◽

Detrended Fluctuation ◽

Physical Quantities

In this work we have used the Detrended Fluctuation Analysis (DFA) technique to investigate an oil reservoir. The system we address here is situated at Bacia de Namorados, RJ, Brazil. The data corresponds to well logs of five geophysical variables: sonic, porosity, electrical resistivity, gamma ray and density measured in 56 wells. The objective of this work is to analyze the correlation or similarity among the DFA index of several geophysical quantities. We perform a linear correlation test to compare pairs of DFA indices of the geophysical quantities for the well logs. We have not found a major similarity among the five variables which indicates an absence of correlation for these variables. Therefore, we argue that the DFA index should be used with caution in the characterization of oil reservoirs. In this way we suggest to integrate the information of DFA of several physical quantities to adequately model this kind of system.

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