Introduction Locating a buried pipe

Ž . Journal of Applied Geophysics 43 2000 175–187 www.elsevier.nlrlocaterjappgeo Maximizing the information return from ground penetrating radar Gary R. Olhoeft Department of Geophysics, Colorado School of Mines, Golden, CO 80401-1887 USA Received 2 February 1999; received in revised form 23 April 1999; accepted 24 May 1999 Abstract Ground penetrating radar data is not always easy to acquire, and sometimes the acquisition may be constrained by equipment availability, weather, legal or logistical constraints, safety or access considerations. Examples of these include archaeological or geotechnical sites about to be excavated, contaminated lands undergoing remediation, hazardous areas such as unexploded ordnance lands or active volcanoes, and difficult to visit locations such as Antarctica or the surface of Mars. These situations may result in only one chance at acquiring data. Thus, the data need to be acquired, processed and modeled with the aim of maximizing the information return for the time, cost and hazard risked. This process begins by properly setting up the survey with the expectation of the site conditions but allowing for flexibility and serendipity in the unknown. Not only are radar data acquired, but also calibration, orientation, location and other required parameters describing the equipment and survey are recorded. All of these parameters are used in the processing and modeling of the data. The final results will be not just a radar image as a pseudo-cross-section, but a corrected geometric cross-section, interpreted electrical and magnetic properties of the ground, location, orientation, size and shape of subsurface objects, and composition of the ground and objects as inferred density, porosity, fluid saturation, and other relevant material occurrence properties. q 2000 Elsevier Science B.V. All rights reserved. Keywords: Acquisition; Processing; Modeling; Interpretation; Display; Utility detection

1. Introduction

For most of the history of ground penetrating radar, the instruments have been used to acquire data that have been presented as distorted im- ages or pseudo-cross-sections of the subsurface Ž . Morey, 1974; Olhoeft, 1988 . Such images of- ten solve problems such as the horizontal loca- tion of some change or thing buried, without any further necessity of processing. However, many problems pose questions requiring an- swers with more detailed information, such as Fax: q1-303-273-3478; e-mail: golhoeftmines.edu what is the depth to a buried utility pipe and its size, orientation, and composition? What are the depth, size, shape and orientation of the unex- ploded ordnance? What is the density of com- paction of soil in the bridge approach? How is the fluid saturation of contaminant perched on this clay layer changing with time as the site is remediated? These questions require quantita- tive answers only obtained by properly acquir- ing the radar data, processing and modeling the data, and interpreting the results, including a display in terms the person dealing with the problem can understand. The physical processes and the equations to describe them have been 0926-9851r00r - see front matter q 2000 Elsevier Science B.V. All rights reserved. Ž . PII: S 0 9 2 6 - 9 8 5 1 9 9 0 0 0 5 7 - 9 known for a long time. Only in the past decade have they been applied to answer some of the questions above, but they are still not routinely applied.

2. Locating a buried pipe

Fig. 1 illustrates a portion of a radar pseudo- section acquired with a GSSI SIR-10A q radar Ž 1 . system using a 900-MHz in air center fre- quency bistatic bow-tie antenna over a 90-cm Ž diameter steel pipe buried 37 cm deep surface . Ž to top of pipe near Yuma, AZ Olhoeft et al., . 1994 . The radar reflection from the pipe is the result of electromagnetic wave propagation de- scribed by the radar equation and geometry through, among other things, the Fresnel reflec- tion coefficient in amplitude, Snell’s law in angle, and the Stokes scattering matrix in polar- Ž ization Balanis, 1989; Powers, 1995; Smith, . 1997 . The location and orientation of the pipe were known, so the electric fields of the anten- nas were set horizontal, parallel to each other, parallel to the long axis of the pipe, and to traverse perpendicular across the pipe, maximiz- ing the coupling with respect to polarization. Ž Across the top of the image are marks small . white vertical bars used to locate the antenna and later correct for variations of towing speed. Each mark indicates passage of the center of the antenna past a flag in a series spaced 1 m apart along the antenna traverse path. The vertical black line running through the middle of the image is the location of the single scan wiggle trace plotted to the right. The two way travel time vertical scale is also shown as an equiva- lent depth assuming a relative dielectric permit- tivity of four. The horizontal line across the top of the image currently displays nothing and will 1 Most GPR antennas are ground-loaded, lowering their center frequency when in contact with the ground by an amount determined by the antenna design and the electro- magnetic properties of the ground. Fig. 1. Raw radar data acquired with a GSSI SIR-10Aq Ž . using a bistatic 900 MHz in air center frequency antenna towed across a 90-cm diameter pipe buried 37 cm deep. be explained in later figures when it shows features in the data. The data in the radar image exhibit several problems. The image is horizontally distorted Ž by uneven towing speed uneven spacing of the . marks across the top and vertically by an un- known velocity of wave propagation. There is horizontal banding running across the image from less than optimal coupling of the antenna to the ground and unwanted oscillatory ringing of the antenna. There are five vertical lines coming up from the bottom of the image caused by radio frequency interference from nearby Ž portable radios or cell phones see Appendix . A . Nonetheless, about a third of the way down from the top, a reflection caused by a layer in the geology may be seen to run horizontally across the image, broken in the middle by the trench created to bury the pipe, and exhibiting the characteristic ‘‘hyperbola’’ scattering shape caused by the metal pipe. If the problem were utility location, then the problem is solved at this point by noting the presence of a metallic reflector at the horizontal position of the top of the hyperbola. By rotating the antenna electric field orientation while centered above the pipe location indicated by the hyperbola, the az- imuthal strike orientation of the pipe may also be quickly determined from the change in polar- ization response. By measuring the change in polarization with different antenna geometries Žoften called HH, VV and HV polarizations; . van Zyl and Ulaby, 1990 and solving for the Stokes–Mueller polarization matrices, both the strike and dip of the pipe may be determined. For the remainder of this example, polarization will be ignored as the data acquisition was setup to be maximally coupled between the antenna electric field and the long axis of the pipe.

3. Estimating the pipe depth and size