[PDF] Caractérisation des réservoirs pétroliers par les données sismiques

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ρ= (ρshale?Vcl) + ((1-φ-Vcl)?ρquartz))?????

κ=1(Vcl+φ)κ

shale+(1-Vcl-φ)κ quartz?????

μ=1(Vcl+φ)μ

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1VP1cos2ψ2-VS1V

P1sin2φ1-ρ2VS2ρ

1VP1sin2φ2

sin2ψ1ρ

2V2S2VP1ρ

1V2S1VP2sin2ψ2VP1V

S1cos2φ1-ρ2VS2VP1ρ

1V2S1cos2φ2)

R(θ) =?12

(1 +tan2θ)?Δαα

4β2α

2sin2θ?Δββ

+?12 (1-4β2α

2sin2θ?Δ??

sinΘ =x? t

20+x2V

2RMSV INTV

2RMS?????

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Orientation= 75◦???? ??????

P(m|s,wl)?P(s|m).P(wl|m).P(m)?????

P(s|m)?exp?

12 ????si,θ??? ??????? ?????i?? ?????θ G C s(t) =w(t)?r(t) =Gθm????? r=Δz2z ≈Δln(z)2 r

θ≈12cos2θΔln(Ip)-4IsIp

sin2θΔln(Is)????? SN {C1,...,CN}? ???? ??????? ?? ? p(Ci|x) =p(x|Ci)p(Ci)? N j=1p(x|Cj)p(Cj)????? t

Y(t) =Y0.cos(t) +Y1.sin(t)?????

Y n(t) =Yn-1.cos(t) +Un.sin(t)????? Y n=L[Xn]????? Y n(L,t) =L[Xn(t)] =L[Yn-1.cos(t) +Un.sin(t)]????? y=μ+g?z?????

C(x) =?

S(f).e2?πfxdx?????

S(f) =?

C(x).e-2?πfxdf?????

?? ???? ????Y=TF(y-μ)????? ???Y(f) =Y??Y(´f) =´Y??f??´f? ????? ?? ??????? E?

Y¯´Y?

=E?

G.¯´G.Z.¯´Z?

=G.¯´G????? E

Y¯´Y?

= 0??f?=´f????? E

Y¯´Y?

=G.¯´G??f=´f??????

S(f) =dxN?

x=1C(x)?e-2?πxfN

S(f) =1dx

.G(f).¯´G?????? ??G??? ?????? ??? ??? ?

G(f) =?dx.S(f)??????

? ??????? ?? ????? ?????z ? ???????G??S ? ????? ?? ???????G.Z ? ????? ?? ?? ??????? ??G.Z? ???? ???????g?z Y c(u) =Ydk(u) + [Y(u)-Yk(u)]?????? X k(u) =n? i=1λ i(u)X(ui)?????? u Y Y 1=?a1 b 1? , Y 2=?a2 b 2? Y

3(t) =Y1.cos(t) +Y2.sin(t)??????

?a3(t) b 3(t)? =?a1 b 1? cos(t) +?a2 b 2? sin(t)?????? ?x=α.cos(t) y=β.sin(t)?????? ?(t) =12 dsim(t)-dobs?2?????? y=G-1[F(x)]?????? L L L GL ???? ???????W= (w1,w2,...,wN)? ??? ??????? ?????? ???? ?????? ????? ?? ??? ??????? w i(t+ 1) =wi(t) +φ(i,t)?α(τ)(Xi(t)-wi(t)),?????

α(τ) =α0(1-ττ

????≥0.7?? Structural uncertainty effects on Reservoir grid infilling

Audrey NEAU*

1,2 , PhD. Student, Audrey.neau@total.com, Pierre THORE* 1 , Béatrice de VOOGD* 2

1: TOTAL Pau, FRANCE

2: Modeling and Imaging in Geosciences, University of Pau, UMR5212 UPPA-CNRS-TOTAL FRANCE

Summary

In this paper, we study the impact of structural uncertainties on property infilling of reservoir grid. The workflow for such a study is the following:

1 Build multiple structural models around the Base Case;

2 Generate seismic cube attributes through an inversion

workflow on each structural model;

3 Perform supervised classification on these cubes to

calculate geological property cubes;

4 Use these cubes for reservoir grid infilling.

This procedure is required since structural uncertainties have an impact on inversion results and therefore affect facies repartition in the reservoir grid.

This is demonstrated on a real case example.

Introduction

The use of seismic data to interpolate properties between wells in the reservoir model has become an important goal for seismic interpretation. Relationships between reservoir properties and seismic attributes can be derived and then used to predict reservoir behavior. The degree of confidence of seismic data needs to be assessed because the transformation of seismic information into reservoir properties is not univocal. Indeed, uncertainties occur at each step of the chain: on the seismic

amplitudes, in the transformation of these amplitudes into impedances, and in the generation of property probability

cubes from impedances. The state of the art handles the uncertainties associated with the last two steps. In this study, we take into account all these uncertainties and go further by taking structural uncertainties into account (workflow illustrated in Figure 1 and described hereafter). In the first step, multiple structural models are simulated from the base case with a geostatistical tool. Then, each model is introduced in a stochastic inversion tool. Finally, all these inversion results are analyzed with a supervised classification algorithm from which we derive probability cubes used to infill reservoir grids.

Base Case for reservoir building workflow

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