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What is Electrical Resistivity Imaging (ERI)?

Core Principles

  1. Fundamental Theory
    ERI utilizes resistivity differences in subsurface materials (e.g., 10-10⁶ Ω·m for rocks vs. 1-100 Ω·m for water-bearing strata) to reconstruct 3D geological structures. The method employs electrode arrays to inject currents (DC/AC) and measures resultant potential differences.
  2. Electrode Array Configurations
    Common configurations include:
    • Wenner Array: Stable measurements for shallow investigations (<50m)
    • Schlumberger Array: Enhanced depth penetration (up to 200m)
    • Dipole-Dipole: High lateral resolution but noise-sensitive
  3. Tomographic Inversion
    Mathematical reconstruction algorithms resolve the ill-posed inverse problem through:
    min∥W(dF(m))∥2+λLm∥2
    Where W = data weighting matrix, F = forward operator, λ = regularization parameter

Data Acquisition Technology

ParameterSpecificationOptimization Strategy
Current TypeDC (0.1-10Hz) / AC (1kHz-1MHz)Frequency-adaptive based on target depth
Electrode Spacing1-20m (surface)Adaptive spacing algorithm
Measurement Precision±0.1mV voltage resolutionQuantum tunneling sensors
Noise Immunity>80dB SNRActive shielding & wavelet filtering

Advanced Inversion Methods

  1. Regularization Techniques
    • L2 Norm: Smooth models for homogeneous media
    • L1 Norm: Sharp boundary detection (e.g., mineral veins)
    • Structural Constraints: Incorporate seismic/EM data
  2. Machine Learning Enhancements
    • CNN-Transformer hybrid networks reduce inversion time by 85%
    • Generative Adversarial Networks (GANs) improve resolution to 0.5m scale

Technical Advantages & Limitations

Advantages:

  • Non-invasive subsurface imaging (0-2,000m depth)
  • 0.1m³ resolution for cavity detection
  • Real-time monitoring capabilities (e.g., pollutant migration)

Challenges:

  • 15-20% model uncertainty in complex strata
  • High equipment costs (50k−200k per system)48

Industrial Applications

FieldCase StudyPerformance
Mineral ExplorationGold deposit in WAIdentified 0.3m-wide quartz veins8
EnvironmentalLandfill leakageMapped contaminant plume (<±0.5m error)4
GeotechnicalTunnel void detectionAchieved 98% verification rate7

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