agsc powerpoint oral presentation

8/9/2019 AGSC PowerPoint Oral Presentation

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APPLICATION OF MATLAB IN SEISMICINTERFEROMETRY FOR ACCURATE IMAGING

OF RESERVOIRS USING MIGRATIONMETHODS.

BY: ISAAC KUMA YEBOAH.

Department of Engineering,

Regent Universit Co!!ege ofS"ien"e an# $e"%no!og.

isaa"&e'oa%(()a%oo."o.*&

mailto:[email protected]:[email protected]


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Content.

1. Motivations.

2. Mt!o"o#o$%.

3.3. Super-Resolution and Super-Stacking.Super-Resolution and Super-Stacking.

4. Local Matching Filter.

5. Prestack Modeling.

&. Si'(#ation Rs(#ts in MATLAB o)

Di*+a,tion Sta,- Mi$+ation.

7. Conclusion.


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Motivations

Problem: Receiverinterval of OBS data is(sometimes) too large

Solution: Interferometricinterpolation

Water

Water

Benets of Interferometric Benets of Interferometric Interpolation: Interpolation:

• Accuracy (ave!e"uation based Accuracy (ave!e"uation based

sc#eme)sc#eme)•


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Mt!o"o#o$%

Applying t#e far!eld appro%imation Applying t#e far!eld appro%imation

xd n

GG

n

GGGG

xS x

2000

*)()(

)(*)()*()(

∂

∂−

∂

∂=− ∫

B|xx|A

x|AB|xB|AB|A

*)(*)()(2)( 02

0 B|AB|xx|AB|A G xd GGik GS

+= ∫

OBSOBS OBSOBS S&P S&P OBSOBS

'!state reciprocity e"uation of t#e '!state reciprocity e"uation of t#ecorrelation typecorrelation type

(ong and Sc#uster '*+ Ram,re- et(ong and Sc#uster '*+ Ram,re- etal./ '*)al./ '*)

Interferometry Interferometry artifacts (spuriousartifacts (spuriousmultiples):multiples):

0ocal matc#in lter 0ocal matc#in lter


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uper! eso u on an uper!uper! eso u on an uper!Stac1ingStac1ing

Super!stac1ingSuper!stac1ing NM vsvs.. N

Super!resolutionSuper!resolution


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G(x|G(x| x’ x’ ) = ) =

x x x’ x’

eei|x!i|x!

x’ x’

|"#|"#

$%ase $%ase|x!|x! x’ x’ || Ge&m.Ge&m.

Sprea Sprea

G*’s +,*-TI* G*’s +,*-TI*

|x!|x! x’ x’ ||


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Prestack MigrationPrestack Migration

Mi$+ation is t! #ast 'a/o+ 0+o,ss t!at isa00#i" to sis'i, "ata )o+ it is int+0+t".

T!is is #i-#% to #a'" )o+ a## so+t o) t!in$s#i- in,onsistnt a'0#it("s an" #a,- o)

st+(,t(+a# "tai#s vn t!o($! t!s 0+o#'s'a% a+is )+o' a,(isition o+ a+#i+0+o,ssin$ st0s.

Mi$+ation ,an ,#assi3" as P+sta,-

'i$+ation o+ Poststa,- 'i$+ation. Mi$a+tion is 0+)o+'" on 0+sta,-" "ata

it!+ on s!ot $at!+s o+ CMP "ata.


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$resta#k /&'elin $resta#k /&'elin D(+in$ t! a,(isition4 t! sa' s(s(+)a, 0oint

'a% !it sv+a# ti' % 'itt" 5avs4 5 5i##t!+)o+ !av '(#ti0# in)o+'ation )+o' t! sa'0oint.

In ,#assi, 0oststa,- 0+o,ssin$4 t! 'o"# is ass('"

to a st o) 6at4 !o+i7onta# an" !o'o$no(s#a%+s !n, !%0+o#i, 'ovo(t ,(+vs )o+ sta,-in$.

P+sta,- ti' 'i$+ation is n,ssa+% 5!n t!$o#o$i,a# st+(,t(+s 0+snt ,on6i,tin$ "i0s4

+s(#tin$ in ,on6i,tin$ sta,-in$ v#o,itis. P+)o+'in$ 'i$+ation "i+,t#% in "0t! an" )+o' t!

0+sta,- "ata is t!+)o+ n,ssa+% in ,as o)va+io(s "i0s an" #at+a# v#o,it% va+iations.


10/220 m 30 m0 m 30 m

0 km0 km

30 m30 m

#&rner #&rner


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1&rn /&'elin 1&rn /&'elin

x x x’’ x’’

S#atterer S#atterer x’ x’

m&'el m&'el 'ata'ata ∫ /&'el /&'el

Spa#e Spa#e

'(x)'(x) == (x| (x| x’ x’ )( )( x’ x’ |x’’)|x’’) &(x’)'x’ &(x’)'x’ 2( 2( ω ) )


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'(x’’|(x’’| x x )= )=

S#atterer S#atterer

τ x x x’ x’

ee

!i !i

(x (x x’ x’ ) )

τ x’ x’ x’’ x’’

ee!i !i

(x’’ (x’’ x’ x’ ) )&(x’)&(x’)

x x

x’ x’

x’’ x’’

∑ x’ x’ ω

66


(7! 8# " #09 )(7! 8# " #09 )!6#!6#

!6!6 66

2( 2( ω

) )


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Time!D&mainTime!D&main

Di::ra#ti&n Sta#k /&'elin Di::ra#ti&n Sta#k /&'elin

2( 2( ω

) )

(x (x x’ x’ ) )

τ x x x’ x’ i i ee

∑

x’ x’

τ x’ x’ x’’ x’’ i i

ee (x’’ (x’’ x’ x’ ) )

'(x) ='(x) = &(x’)&(x’) ∫ ' ' ω

i i ω

t t ee' '

ω

i i ω

t t ee∫

!! !!

( t!( t!τ

!!τ

) ) x x

x’ x’

x’ x’

x’’ x’’

(x (x x’ x’ ) )

∑

x’ x’ (x’’ (x’’ x’ x’ ) )

&(x’)&(x’)== .. ..


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(x;)(x;)

66 66


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(x;)(x;)

(x 0)(x 0)ss


(x 0)(x 0)

( t!( t!τ

!!τ

) ) x x x’ x’ x’ x’ x’’ x’’

(x (x x’ x’ ) )

∑

x’ x’ (x’’ (x’’ x’ x’ ) )

&(x’)&(x’)=='(x)'(x) == .. ..

-an#elati&n-an#elati&n


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1&rn ppr&ximati&n 1&rn ppr&ximati&n

∫ /&'el /&'el Spa#e Spa#e

'(x)'(x) == G(x|G(x| x’ x’ )G( )G( x’ x’ |x’’)|x’’) &(x’)'x’ &(x’)'x’

e:le#tiit> e:le#tiit>'ata'ata

2( 2( ω

) )

2aelet 2aelet

Spe#trum Spe#trum

$r&paates S#attere' $r&paates S#attere'

ner> :r&m S#att. at ner> :r&m S#att. at

x’ x’ t& e#eier att& e#eier at x x

$r&paates ner> :r&m $r&paates ner> :r&m

Sr# at Sr# at x’’ x’’ t& S#atterer att& S#atterer at x’ x’


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Si'(#ation Rs(#ts in MATLAB o)Di*+a,tion Sta,- Mi$+ation.

S,//B


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S,//B S,//B

7. xpl&'in e:le#t&r /&'elin = Di::ra#ti&n Sta#k /&'elin 7. xpl&'in e:le#t&r /&'elin = Di::ra#ti&n Sta#k /&'elin

(x (x x’ x’ ) )

(x’) (x’)

re:le#tiit>re:le#tiit>

Ge&m.Ge&m.sprea'in sprea'in

S&ur#e aelet S&ur#e aelet

Sum &er Sum &er

re:le#t&rsre:le#t&rs

6. Ci% +reuen#> ppr&ximati&n (i.e #(x) ariati&ns E 3? 6. Ci% +reuen#> ppr&ximati&n (i.e #(x) ariati&ns E 3?

) )

3. ppr&ximates Finemati#s &: Data @ut n&t D>nami#s3. ppr&ximates Finemati#s &: Data @ut n&t D>nami#s

((τ


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Conclusion. MATLAB )o+ t,!ni,a# ,o'0(tin$ a00#i" to

sis'i, int+)+o't+i, % (sin$ G+n8s )(n,tion#a"in$ to s(0+ +so#(tion o) t! i'a$.

A 'a/o+ n3t o) sis'i, int+)+o't+i, is t!atso(+, +,iv+ a++a%4 a)t+ int+)+o't+i,

+"at('in$ ,o's ,#os+ to t! i'a$in$ ta+$t.

T!is 'ans t!at t! "isto+tin$ *,ts o) t!(nint+stin$ 0a+t o) t! '"i(' a+ avoi""

#a"in$ to tt+ i'a$ +so#(tion o) t! ta+$t. T!is $ivs a v+% ,#a+ i'a$ 5!i,! ,an s!o5 t!)o+'ation o) t! a+t! an" 0ossi# !%"+o,a+on"0osit" in t!at 0a+t o) t! s(s(+)a,.


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agsc powerpoint oral presentation

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