Resolution of airborne VLF data

https://doi.org/10.1016/j.jappgeo.2005.06.002Get rights and content

Abstract

The interpretation of airborne VLF data represents an important aspect of geophysical mapping of the upper few hundred meters of the Earth's crust, especially in areas with crystalline rocks. We have examined the ability of the single frequency VLF method to provide quantitative subsurface resistivity information using two generic models and standard airborne parameters with a flight altitude of 70 m and a frequency of 16 kHz. The models are long thin conductor (10 m thick, 10 Ω m resistivity and 1 km long) and a wider buried conductive dike (100 Ω m resistivity and 500 m wide). Using standard regularized inversion it turned out that for both models the conductivity of the conductors are underestimated and the vertical resolution is rather poor. The lateral positions of the minimum of the resistivity distributions coincide well with the true positions of the shallow conductors. For deeper conductors the position of the minimum resistivity moves from the edges of the conductor into the conductor. The depth to the minimum of the resistivity anomalies correlates well with the true depth to the top of the conductors although the latter is always smaller than the former.

Interpretation of field airborne data collected at 70 m flight height resolved both small scale and large scale near surface conductors (conductance ∼1 S). Deeper conductors show up in the VLF data as very long wavelength anomalies that are particularly powerful in delineating the lateral boundaries of the conductors. Many of the VLF anomalies in the Stockholm area are dominated by these deep conductor responses with some near surface conductors superimposed. The deep conductors often follow topographic lows coinciding with metasediments. We interpret the frequent absence of near surface responses at 70 m flight height as a result of weak coupling between the primary VLF wave and the small scale (in all three dimensions) near-surface conductors.

Radio magnetotelluric (RMT) ground measurements were carried out along a short profile coinciding with part of an airborne profile. Using data at 9 frequencies (14–250 kHz) small scale conductors in the upper few tens of meters, not identified from the airborne data, could be well resolved. Large scale deeper conductors could be identified by both methods at nearly the same positions.

Introduction

Airborne very low frequency (VLF) surveys which make use of single frequency signals (14–30 kHz) from remote VLF transmitters are useful and fast techniques for reconnaissance geological mapping, especially in countries like Sweden and Canada, where the sedimentary cover is thin. The VLF method (referred to as VLF-EM or VLF-Z elsewhere) has proved to be an effective exploration tool for massive sulphides, graphites, carbonaceous shales, sheared contacts, and fracture zones. Therefore, during the last decades, it has been employed world-wide to identify conducting features in mineral exploration, geological, engineering and environmental problems (Barbour and Thrulow, 1982, Fischer et al., 1983, Poddar and Rathor, 1983, Sinha and Hayles, 1988, Sinha, 1989, McNeill and Labson, 1991, Ogilvy et al., 1991, Tabbagh et al., 1991, Chouteau et al., 1996, Gharibi and Pedersen, 1999, Oskooi and Pedersen, 2001, Smith et al., 2001, Becken and Pedersen, 2003). The principle of VLF surveying has been described by Poikonen and Suppala (1989), Spies (1989), Vallee et al. (1992), and Kaikkonen and Sharma (2001). This method relies on wave-field interaction with two-dimensional (2D) and three-dimensional (3D) resistivity structures (Beamish, 2000) which was first developed as an inductive profiling technique measuring the amplitude (and subsequently phase) relationship between the vertical (secondary) magnetic field, Hz, relative to the horizontal (primary + secondary) field, Hy. Interpretation of the VLF data represents an important aspect of geophysical mapping which has recently seen considerable qualitative and quantitative improvements.

VLF anomalies have been computed for various models by Olsson (1980). He introduced a simple way to determine the depth to the top of the conductor and possibly the dip angle. Since then a considerable amount of theoretical and numerical studies were made to calculate the VLF response of subsurface conductors. Serious efforts towards the inversion of VLF data to obtain quantitative information about the subsurface were made in the 1990s. Beamish (1994) showed that regularized 2D inversion of single frequency VLF data could deliver quite detailed information about the subsurface electrical conductivity structures. Quantitative 2D VLF data interpretation by Beamish, 1998, Beamish, 2000 demonstrated that when single frequency VLF data are collected with a high lateral density, the measurements can be used to infer the main elements of the subsurface resistivity distribution. The tools required are regularized, smooth model inversion schemes that have been developed for multi-frequency, magnetotelluric data sets. The use of Radiomagnetotelluric (RMT) data, when available, will invariably add to the resolution capabilities of the VLF method. Synthetic modeling and inversion have been done by the authors (Pedersen and Oskooi, 2004), for both VLF (14–30 kHz) and LW (Long Wave Band, 30–300 kHz). Also Persson (2001, PhD thesis) examined the resolving power of 2D inversion on some synthetic models as well as applying it to field VLF and RMT data.

Previous attempts to correlate ground and airborne data, (Hoekstra et al., 1975, Arcone, 1979) have indicated that much detail and amplitude of ground resistivity variations can be lost at airborne levels, even at minimum flight altitudes of 75 m. Therefore, to interpret airborne data and correlate them with similar measurements made on the ground there is a need to understand better the relationship between ground and airborne measurements. To aid in this understanding, we have made an analysis of airborne VLF responses for some typical resistivity structures, namely a long thin conductor (10 m thick, a resistivity of 10 Ω m and 1 km long) and a conductive dike (a resistivity of 100 Ω m and 500 m wide) both buried in a host of 10,000 Ω m. Then airborne VLF data from an area southeast of Stockholm (Fig. 1) were processed and interpreted. For this purpose the anomalies from selected flight-lines are modeled by using an inversion technique developed by Siripunvaraporn and Egbert (2000). Ground RMT data along a short profile, measured by the Enviro-MT system designed by Uppsala University (Bastani, 2001), are also presented. The aim is to test the prediction of the airborne measurements and to get independent estimates of resistivities of the most important lithological units. Finally, a geological interpretation of the conductive structures in terms of conductive metasedimentary rocks in valleys is made.

Section snippets

VLF measurements, the scalar tipper data

In standard VLF measurements only one horizontal, say Hy and one vertical component, Hz are measured. For a 2D structure with a strike direction along the x-axis the derived scalar transfer function Bsca = Hz / Hy will be identical to the unique tipper component B and the tipper component A is identically equal to zero (Pedersen and Oskooi, 2004). Only in this case it is straightforward to interpret scalar VLF measurements with 2D models. If the strike direction differs from that of the x-axis it

2D synthetic forward modeling and inversion of two simple structures

The ability to interpret EM field data depends on having a good understanding of the anomalies to be expected from different subsurface structures. In order to study the resolution of airborne VLF data, synthetic tipper data at a frequency of 16 kHz were produced for two generic models in a halfspace of 10,000 Ω m corresponding to a skin depth of 400 m. Model 1 is a thin conductive layer (10 m thickness, 1.2 km wide and a resistivity of 10 Ω m) (Fig. 2a and b). The top surface is placed at

3D synthetic forward modeling

3D modeling has been performed using the XPLATS code (Avdeev et al., 2000) with regional currents flowing in the x-direction, parallel to ‘strike’. Our aim is to study the responses of the thin conductors (10 m thickness, 100 m wide, and a resistivity of 10 Ω m) with varying length at airborne conditions. In Fig. 9a the conductors are shown in a 10,000 Ω m halfspace with lengths of 100 (A), 200 (B), 300 (C) and 400 (D) m, respectively. A simulation of disconnected surface conductors (100 by 100

Scalar tipper data along flight Lines 1644800, 1645000 and 1645200

In the Stockholm area, using signals from the Rugby transmitter located in England (GBR, operating at16 kHz), VLF data were measured along flight lines with 200 m separation, at an altitude of about 70 m and with a sampling distance of approximately 17 m. The flight lines were in the N–S direction which is fairly well adapted to the strike of the main geological structures in the area.

The real and imaginary parts of the scalar tipper vary typically between − 0.5 and 0.5. Notice that the real and

RMT ground measurements and comparison with airborne VLF results

RMT data were collected at 10 m interval along a 600 m long profile coinciding with a part of the airborne profile 1645000. This S–N profile crosses a wide valley, and is shown in the middle of Fig. 1 as a short thick line marked Number 1. The aim is to make a comparison with the airborne measurements and to get independent estimates of resistivities of the most important lithological units. The determinant apparent resistivity and phase data (Berdichevsky and Dmitriev, 1976, Pedersen and

Discussion and conclusions

Single frequency transfer functions (tippers) calculated from airborne VLF data were modeled quantitatively using a regularized 2D inversion scheme developed originally for deep electromagnetic MT soundings. There are two main conclusions to be made from this study.

The apparent discrepancy between airborne and land measurements in the Stockholm area can be largely explained as due to the small lateral scale of surface conductors. These small scale conductors give rise to small scale VLF

References (34)

  • L. Cagniard

    Basic theory of the magneto-telluric method of geophysical prospecting

    Geophysics

    (1953)
  • M. Chouteau et al.

    Computation of apparent resistivity profiles from VLF-EM data using linear filtering

    Geophys. Prospect.

    (1996)
  • G. Fischer et al.

    VLF ground surveys, a powerful tool for the study of shallow two-dimensional structures

    Geophys. Prospect.

    (1983)
  • M. Gharibi et al.

    Transformation of VLF data into apparent resistivities and phases

    Geophysics

    (1999)
  • P. Hoekstra et al.

    Ground and airborne resistivity surveys of permafrost near Fairbanks, Alaska

    Geophysics

    (1975)
  • P. Kaikkonen et al.

    A comparison of performances of linearized and global nonlinear 2-D inversions of VLF and VLF-R electromagnetic data

    Geophysics

    (2001)
  • J.D. McNeill et al.

    Geological mapping using VLF radio fields

  • Cited by (18)

    • Unstructured grid based 2-D inversion of VLF data for models including topography

      2011, Journal of Applied Geophysics
      Citation Excerpt :

      Beamish (1994) used a regularized inversion approach well known as OCCAM inversion (deGroot-Hedlin and Constable, 1990) to invert VLF-R data. A further efficient variant of OCCAM inversion called REBOCC inversion (Siripunvaraporn and Egbert, 2000) is used for inversion of VLF data (Oskooi and Pedersen, 2005) and for the inversion of airborne VLF data (Oskooi and Pedersen, 2006; Pedersen and Oskooi, 2004). Sharma and Kaikkonen (1998) have used a Very Fast Simulated Annealing (VFSA) method for inversion of VLF-R data.

    • Airborne VLF measurements and mapping of ground conductivity in Sweden

      2009, Journal of Applied Geophysics
      Citation Excerpt :

      Modelling and interpretation of VLF data was pioneered by Beamish (1994, 2000) who showed that regularised 2-D inversion of single frequency VLF data could deliver quite detailed information about the sub-surface electrical conductivity structure. Oskooi and Pedersen (2005, 2006) studied the resolving power of single and multifrequency VLF measurements. That quantitative 2D models of electrical conductivity can be estimated on a routine basis is a major asset for the method.

    View all citing articles on Scopus
    View full text