Spatial-Temporal Models in Location Prediction Jingjing Wang 03/29/12.
GulfofMexico coremeasurementsandaVSP...
Transcript of GulfofMexico coremeasurementsandaVSP...
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Attenuation of rock salt:
Gulf of Mexico core measurements and a VSP survey
Jingjing Zong1,2, Robert R. Stewart2, Nikolay Dyaur2
1. National University of Singapore
2. University of Houston
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Outline
Introduction and motivations
Field Q estimations
A VSP survey in Markham salt dome, TX
Conclusions
Ultrasonic lab Q measurementsGulf coast salt cores
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Attenuation mechanism
Source
signal
• Geometrical spreading
• Scattering
• Intrinsic attenuation or anelasticity
Q: quality factor1
𝑄=
∆𝐸
2𝜋 ∙ 𝐸=
∆𝐴
𝜋 ∙ 𝐴
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Motivations of the salt study
Seal rock
studyblue.com
Storage
© KBB Underground Technologies
Mining
saltassociation.co.uk
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Attenuation modeling
P wave front
S wave front
sourcereceiver
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Synthetic wave propagations in rock salt
0 m 6000
2500
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Q estimation – spectral ratio method
𝐴 𝑓 = 𝐺 𝑥 𝑒−𝛼 𝑓 𝑥𝑒𝑖(2𝜋𝑓𝑡−𝑘𝑥)
(Johnston, 1978)
ln𝐴
𝐴0= −
𝝅𝒕
𝑸𝑓 + ln
𝐺
𝐺0
ln𝐴
𝐴0= −
𝝅
𝑸(𝒕𝟎 − 𝒕)𝑓 + ln(
𝐺
𝐺0)
Aluminum
𝑸𝟎 ≈ +∞
Sample
𝑸
𝑸
Measurement Slope Intercept
𝑙𝑛𝐴
𝐴0=
𝜋𝑡0𝑄0
−𝜋𝑡
𝑄𝑓 + 𝑙𝑛
𝐺
𝐺0
(a) Aluminum standard
(b) Multi travel lengths
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GoM rock salt core
Examples of the measured rock salt samples
96.1%
NaCl
99.6%
NaCl
Hockley, TX Bayou Corne, LA
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Experimental apparatus for ultrasonic measurements
Source transducer
Sample
Receiver transducer
Center frequency
1 MHz
gcts.com
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Benchtop measurements:H1 - Qp: 32 ± 4 , Qs: 34 ± 3
H2 - Qp: 43 ± 6 , Qs: 34 ± 4
𝑄0 𝑄
𝑄0 ≈ +∞
Aluminum
ln𝐴
𝐴0= −
𝝅𝒕
𝑸𝑓 + ln
𝐺
𝐺0Measurement Slope Intercept
Attenuation of GoM rock salt – spectral ratio method
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Attenuation of GoM rock salt – spectral ratio method
Aluminum
Benchtop measurementsQp: 57 ± 13 , Qs: 41 ± 2
ln𝐴
𝐴0= −
𝝅
𝑸(𝒕𝟎 − 𝒕)𝑓 + ln(
𝐺
𝐺0)
Measurement Slope Intercept
𝐴0
𝐴
𝑄
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Temperature dependence – Bayou Corne, Louisiana
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Relative Q variations under varying temperature
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Pressure dependence – Bayou Corne, Louisiana
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Relative Q variations under varying pressure
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Attenuation – pressure and temperature dependence
Vp vs. Pressure, Temperature Qp vs. Pressure, Temperature
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Pressure (psi) Pressure (psi)0 4000 8000 12000 0 4000 8000 12000
4.4
4.5
4.6
0
100
200
300
Vp
(km
/s)
Q
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CT Scanning of the test sample
before and after pressure loading
Pressure healing & thermal cracking
before
after
Thermal cracks on the surface of rock salt under
increasing temperature (Chen et al., 2015)
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50oC in oven, over 24h 110oC in oven, over 24h
140oC in oven, over 24h 200oC in oven, over 24h
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4.4 4.45 4.5 4.55 4.6 4.65
Vp (km/s)
0
50
100
150
200
250
300
Qp
Q p vs. V p
23.9oC(75
oF)-Unloading 37.8
oC(100
oF) 65.6
oC(150
oF) 93.3
oC(200
oF)
Qp vs. Vp
𝑙𝑛𝑄𝑃 = 53 ∙ 𝑙𝑛𝑉𝑃 − 33𝑅2 = 0.84
Attenuation – pressure and temperature dependence
Qs vs. Vs
𝑙𝑛𝑄𝑠 = 28 ∙ 𝑙𝑛𝑉𝑠 − 10𝑅2 = 0.4
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A typical GoM salt dome
© John Perez Graphics & Design LLC.16
Resistivity (ohmm) Density (g/cc) Temperature (̊C)
Gamma Ray (API)
Caliper (in)16 26
0 100
0.2 200 1.5 2.5 70 80
Well A (KB = 25.9 m)
Me
asu
re d
ep
th
fro
m K
B (
m)
1000
1200
1400
1600
1800
2000
Top of
salt
Bottom
of salt
Heterogeneous
Layer
Neutron Porosity (%)55 -35
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RadialDirect
S-w
ave
— Interval velocity
Check-shot data – velocity profile
S: ~2560 m/s
In saltP: ~4570 m/s
In salt
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1 2
P-wave first arrival picking and
velocity profile
Check-shot data - Qp
247.7
-76.8
71.1
Flattened down-going P-waves Spectra ratio and
Q estimation
3 4 5
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1 2
S-wave first arrival picking
and velocity profile
Check-shot data - Qs
31.6
10.9
-19.7
83.4
16.5
Flattened down-going S-waves Spectra ratio and
Q estimation
3 4 5
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Qp vs. Vp
Attenuation – pressure and temperature dependence
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Qs vs. Vs
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Conclusions
• Increase pressure elevates both velocity and Q;
• Increase temperature decreases velocity and Q;
• Q vs. V: 𝑙𝑛𝑄𝑃 = 53 ∙ 𝑙𝑛𝑉𝑃 − 33; 𝑙𝑛𝑄𝑠 = 28 ∙ 𝑙𝑛𝑉𝑠 − 10.
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✓A better understanding of the elastic behaviors of rock salt is provided;
✓Empirical values and relationships are summarized for direct application.
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Arthur Cheng, Yunyue (Elita) Li, NUS;
Fred Hilterman and Geokinetics Inc., Houston;
Joel Warneke, Texas Brine Corp. and United Salt Corp.;
Di Jiao, Craig Whitney, Core Laboratories Inc.;
Scott Leaney, Alan Champbell, Ali Sayed, Schlumberger;
Stephan Gelinsky, Long Huang, Shell;
Leon Thomsen, Sharon Cornelius, Yukai Wo, UH;
Acknowledgements
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