Zigzag electrode layout that provides additional 3-D subsurface information (such as orientation and location of resistivity contrasts) near the profile line. Our approach takes advantage of the ease and convenience of 2-D surveys, but allows for effective 3-D inversion of ERT data.
1. Zigzag electrode acquisition strategy to improve 2-D
Electrical Resistivity Tomography profiles
Robbins, A.; Plattner, A.; Department of Earth and Environmental Science, California State University, Fresno
1. austinrr@mail.fresnostate.edu; 2. aplattner@csufresno.edu
INTRODUCTION
METHODS
RESULTS DISCUSSION
Inversion of synthetic data
Inversion of collected data
Generate subsurface mesh with assigned resistivity values for each cell (E4D)
Simulate data from assigned resistivity values (E4D)
Process simulated data through 3-D inversion (BERT)
E4D inversion produces a 3-D resistivity solution for each electrode layout
Results show a horizontal slice of each resistivity solution at 0.5m depth
Linear electrode layout cannot distinguish the orientation of the subsurface
feature in either synthetic or collected data (Figures 3A & 4A)
Zigzag layout identifies the orientation of the conductive feature
(Figure 3B & 4B)
Zigzag layout also identifies from which side of the profile the resistive
feature in the 2.5-D result originates (Figure 4B)
The sensitivity patterns for the ERT measurements (Figure 5 &6) explain why
the zigzag electrode layout is able to identify the orientation of the subsurface
feature. Sensitivity is a measure of how changes in resistivity of a subsurface
cell affect the measured voltage for a single ERT measurement. Since all the
sensitivity patterns of the linear electrode layout have the same symmetry
with respect to the center profile, a change in resistivity on one side of the
profile is indistinguishable from a change in resistivity on the other.
By breaking the collective symmetry of sensitivity patterns for each
measurement, the zigzag electrode layout is able to identify additional
subsurface information near the profile line.
Acknowledgements
The authors thank Thomas Günther for providing his software BERT and Tim
Johnson for providing his software E4D. We also thank Christine Liu and Alex
Briand for their assistance in the field.
This project was supported by funds from CSU Fresno, ASI undergraduate
research and College of Science and Mathematics grants.
28 electrodes (0.5m spacing along profile)
Zigzag electrodes offset 0.25m from the center profile line
Electrodes oriented at an oblique angle to the known subsurface feature
References
Günther, T.; Rücker, C. & Spitzer, K. (2006): 3-d modeling and inversion of DC resistivity data incorporating
topography - Part II: Inversion. Geophys. J. Int. 166, 506-517
Johnson, T. C., R. J. Versteeg, A. Ward, F. D. Day-Lewis, and A. Revil (2010), Improved Hydrogeophysical
Characterization and Monitoring Through Parallel Modeling and Inversion of Time-domain Resistivity and
Induced Polarization Data, Geophysics, 75(4), Wa27-Wa41
Rücker, C.; Günther, T. & Spitzer, K. (2006): 3-d modeling and inversion of DC resistivity data incorporating
topography - Part I: Modeling. Geophys. J. Int. 166, 495-505
Figure 1: 2-D ERT profile generated from 2.5-D inversion with BERT
Figure 3: Resistivity solutions of 3-D inversion of synthetic data
Zigzag electrode layout
Figure 4: Resistivity solutions from 3-D inversions of collected data
Linear electrode layout
Figure 2: Electrode layouts overlaid on aerial imagery of the site location
Figure 6: Sensitivity patterns of two ERT measurements from the zigzag layout
Figure 5: Sensitivity patterns of two ERT measurements from the linear layout
Both 2-D profile and 3-D ERT inversions have been successfully used in a
variety of geophysical investigations. While profile surveys provide quick
results with relatively inexpensive field work, the ensuing 2.5-D inversions
assume the subsurface is the same on both sides of the profile line. 3-D
inversions often offer the most accurate interpretation of the subsurface;
however, 3-D inversions require 3-D data which are more expensive to collect.
Free, modern full 3-D inversion software (e.g. BERT or E4D) remove the
historical limitation of computing power on inverting 3-D data.
Background
Purpose
The goal of our project is to combine limited 3-D capability near the profile line
with the ease and convenience of profile surveys. Normally, electrodes are
placed on the surface along a line. And the collected data are inverted using a
2-D profile approach, which limits interpretation to a single plane (Figure 1).
Our method takes advantage of the performance offered by 3-D software,
while only requiring the setup of a typical 2-D profile. Ultimately, by
implementing a zigzag layout strategy, we can obtain additional subsurface
characteristics on either side of the profile (into or out of the poster) with a
single ERT layout.
A
B
Linear electrode layout
Zigzag electrode layout