induced polarization · input current and measured potential high freq. f 1 low freq. f 2 source...
TRANSCRIPT
![Page 1: Induced polarization · Input current and measured potential high freq. f 1 low freq. f 2 Source current Measured potential V 1 V 2 PFE = 100(I I ⇢ a2 ⇢ a1 ⇢ a1) ⇢ a1: apparent](https://reader033.vdocuments.net/reader033/viewer/2022060722/608230d739dfda7faa5fdeff/html5/thumbnails/1.jpg)
Induced Polarization
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Groundwater
Minerals
Geotechnical
Motivation
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PermafrostComplex resistivity
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Outline
• Sources of IP• Conceptual model of IP• Chargeability • IP data • Pseudosections• Two stage DC-IP inversion• Case history: Mt. Isa
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• Injected currents cause materials to become polarized• Microscopic causes à macroscopic effect• Phenomenon is called induced polarization
Induced Polarization
I"source V"potential
Not$chargeable Chargeable
Source(Amps)
Potential(Volts)
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Conceptual Model of IP
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+
Membrane polarization Electrode polarization
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Chargeability
pyritechalcocite
copper
graphite
chalcopyrite
bornitegalena
magnetitemalachite
hematite
13.44ms
13.34ms
12.34ms11.24ms
9.44ms6.34ms
3.74ms2.24ms
0.24ms0.04ms
Minerals4at41%4Concentration4in4Samples
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Chargeabilitypyrite
chalcocitecopper
graphite
chalcopyrite
bornitegalena
magnetitemalachite
hematite
13.44ms
13.34ms
12.34ms11.24ms
9.44ms6.34ms
3.74ms2.24ms
0.24ms0.04ms
Minerals4at41%4Concentration4in4Samples
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![Page 8: Induced polarization · Input current and measured potential high freq. f 1 low freq. f 2 Source current Measured potential V 1 V 2 PFE = 100(I I ⇢ a2 ⇢ a1 ⇢ a1) ⇢ a1: apparent](https://reader033.vdocuments.net/reader033/viewer/2022060722/608230d739dfda7faa5fdeff/html5/thumbnails/8.jpg)
ChargeabilityInitially - neutral
Apply electric field, build up charges
Charge polarization, Electric dipole
Input current
Measured voltage
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IP data• Seigel (1959):
– Introduced chargeability: – Effect reduces conductivity
• Theoretical chargeability data
�⌘ = �e↵ective = �(1� ⌘) ⌘ 2 [0, 1)
dIP =�s
�⌘=
�⌘ � ��
�⌘
⌘ 2 [0, 1)
dIP =�s
�⌘=
�⌘ � ��
�⌘
• Not directly measureable9
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• IP decay
• IP datum
IP data: time domain
Dimensionless:
Value at individual time channel:
Area under decay curve:
⌘ = �s/�⌘
M =1
�⌘
Z t2
t1
�s(t)dt
�s(t)
Input current Measured voltage
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• Percent frequency effect:
• Phase
IP data: frequency domain
Sourcecurrent
Measuredpotential
Phase (mrad)
: phase difference between Input current and measured potential
low freq. f2high freq. f1
Sourcecurrent
Measuredpotential
V1 V2
I IPFE = 100(⇢a2 � ⇢a1
⇢a1)
⇢a1: apparent resistivity at f1⇢a2: apparent resistivity at f2
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• Time domain:– Theoretical chargeability
(dimensionless)– Integrated decay time (msec)
• Frequency domain:– PFE (dimensionless)– Phase (mrad)
Summary of IP data types
Sourcecurrent
Measuredpotential
Phase&(mrad)
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• IP signals due to a perturbation (small change) in the conductivity
• An IP datum can be written as
• In matrix form
IP data
sensitivities for theDC resistivity problem
is an N´M matrix
�⌘ = �(1� ⌘)
dIPi =MX
j=1
Jij⌘j
Jij =@log�
i
@log�j
dIP = J⌘
J
i = 1, . . . , N
⌘ 2 [0, 1)
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• Time domain:– Theoretical chargeability
(dimensionless)– Integrated decay time (msec)
• Frequency domain:– PFE (dimensionless)– Phase (mrad)
• For all data types: linear problem– Same as magnetics or gravity
Summary of IP data
Sourcecurrent
Measuredpotential
Phase&(mrad)
is an N´M matrixdIP = J⌘
J 14
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IP pseudosections1) A chargeable block
• Pole-dipole; n=1,8; a=10m; N=316Pole-Dipole
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IP pseudosections2) A chargeable block with geologic noise
• Pole-dipole; n=1,8; a=10m; N=316Pole-Dipole
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IP pseudosections
3) The “UBC-GIF model”
Pole-Dipole17
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DC / IP data collected
Use s model forsensitivity
IPData
Invert potentialsfor conductivity, s
Potential (i.e. voltage) data
Conductivity model
Invert for chargeability
Chargeability model
IP Inversion
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Example 1: buried prism
• Pole-dipole; n=1,8; a=10m; N=316; (as, ax, az)=(.001, 1.0, 1.0)
Chargeability model
Data with 5% Gaussian noise
Recovered chargeability
Predicted data
Pole-Dipole
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Example 2: prism with geologic noise
• Pole-dipole; n=1,8; a=10m; N=316; (as, ax, az)=(.001, 1.0, 1.0)
Chargeability model
Data with 5% Gaussian noise
Recovered chargeability
Predicted data
Pole-Dipole
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Example 3: UBC-GIF model
• Pole-dipole; n=1,8; a=10m
Chargeability model Recovered chargeability
Data with 5% Gaussian noise Predicted data
Pole-Dipole
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Induced Polarization: Summary
• Sources of IP• Conceptual model of IP• Chargeability • IP data • Pseudosections• Two stage DC-IP inversion• Case history: Mt. Isa
• Questions
• Case history: Mt. Isa
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Case history: Mt. Isa
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Rutley et al., 2001
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Setup• Mt. Isa (Cluny propect) • Geologic model
Question• Can conductive, chargeable units, which would be potential targets
within the siltstones, be identified with DC / IP data?24
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Properties
Geologic model
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Resistivity and Chargeability
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Recap: Synthesis from DC• Identified a major conductor à black shale unit• Some indication of a moderate conductor
3D resistivity model Geologic section
Resistivity section
26Can a chargeable, moderate conductor in the siltstones be identified?
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Survey and data
Easting (m) Easting (m)
Apparent chargeability,dipole- pole.
Surface topography
• Eight survey lines• Two configurations
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Processing
Animation3D chargeability model
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Interpretation
A: Resistive, Non-chargeable
B: Moderate conductivity; low chargeabilty
C: Very high conductivity (> 10 S/m)
E and F: High conductivity and high chargeability
G: Other chargeable regions
Resistivity model Chargeability model
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SynthesisA: Surprise Creek Formation
– Resistive, non-chargeable
B: Moondarra and Native Bee siltstones
C: Breakaway Shales– Very high conductivity
E and F: Mt Novit Horizon– High conductivity and high
chargeability
G: Other chargeable regions within siltstone complex
Resistivity model Chargeability model
Geologic section Resistivity section
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Induced Polarization: Summary
• Sources of IP• Conceptual model of IP• Chargeability • IP data • Pseudosections• Two stage DC-IP inversion• Case history: Mt. Isa
• Questions
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End of IP
• Introduction to EM• DCR• EM Fundamentals• Inductive sources
– Lunch: Play with apps
• Grounded sources• Natural sources• GPR• Induced polarization • The FutureNext up