Abstract:
A method and system for determining the azimuth position and distance of a reflector or subterranean reflecting surface of a formation bed outside a borehole. A monopole transmitter may be used with a monopole/dipole receiver pair, or a monopole transmitter and a dipole transmitter pair may be used with a monopole receiver in accordance with the invention to determine the azimuth position and distance of the reflector. Azimuth resolution is improved through use of multiple receiver elements at equal radius about the longitudinal axis of a borehole tool, or through mathematical rotation of receiver elements.

Description:
FIELD OF THE INVENTION 
     The invention relates generally to sonic tools for borehole logging, and more particularly to a method and system for determining the azimuth position and distance of a reflecting subsurface formation outside a borehole. 
     BACKGROUND OF THE INVENTION 
     Well logging generally involves the generation and transmission of acoustic signals through an earth formation of interest, and the reception of the signals at a point spaced from the transmitter. By knowing the distance between the transmitter and the receiver, and the time required for an acoustic signal to travel that distance, the velocity of sound in the formation may be calculated. Once the velocity is known, other properties of the formation may be determined. 
     A problem encountered in acoustic well logging is that acoustic energy propagates in both shear and compressional modes, and the velocity of each mode depends on the propagating medium. Thus, the generation of a non-directional acoustic signal results in compressional waveforms in the drilling mud, and both shear and compressional waveforms in the borehole casing surrounding an earth formation, with each waveform having a different velocity. A composite waveform thus may be detected which overshadows the formation mode, and makes difficult an accurate representation of the time of arrival of the formation mode. 
     Attempts to overcome this problem have involved complicated analytical techniques as disclosed in U.S. Pat. No. 4,951,267; or complicated electronic and mechanical systems as disclosed in U.S. Pat. No. 3,475,722, U.S. Pat. No. 3,426,865, and U.S. Pat. No. Re 33,472. 
     A further problem arises from the seismic waves being reflected by a subterranean reflecting surface (“reflector”), and the reflected wave being detected by a conventional seismic detector such as a hydrophone as disclosed in U.S. Pat. No. 4,789,968. The monopole tube waves, and dipole and higher multipole order modal waves, tend to dominate the response and obscure the seismic waves that were reflected by the reflector. 
     Geophones attached directly to a borehole wall, as disclosed in U.S. Pat. No. 5,128,898, have been used instead of hydrophones to reduce such tube wave noise, but the speed at which down-hole data may be acquired is substantially reduced. 
     Further, directionally sensitive detectors have been used which are insensitive to all components of the seismic waves, except the component occurring in a particular direction. By way of example, only the component of the seismic wave impinging the detector in a line parallel to the longitudinal axis of the detector may be detected. The directionally sensitive detectors have been mounted for rotational movement on complex servo systems for orientation in a desired direction as disclosed in U.S. Pat. No. 2,959,240 and U.S. Pat. No. 3,496,533, or have required complex electrical and mechanical transducer structures as disclosed in U.S. Pat. No. 4,951,267. 
     Further shortcomings of the prior art appear in U.S. Pat. No. 3,961,307 which requires a planar surface of sufficient size to mount transducers, approximately a half wavelength. A logging tool is typically 4″ in diameter. The wavelength of sound at 1000 Hz is 5 feet. Thus, the process disclosed in the patent is practical only at very high frequencies, which places a substantial limitation on the depth of investigation in an azimuthal direction. 
     The devices disclosed in U.S. Pat. Nos. 4,832,148 and 4,951,267 measure formation anisotropy, and will not work with isotropic formations. Neither of the devices will respond to objects such as salt domes or other boreholes in a formation. 
     U.S. Pat. No. 4,703,459 uses only a two-transducer array, and is sensitive to external noise sources such as gas leaks. No consideration is given to using a transmitter in conjunction with a receiver to allow echo ranging, and to determine the azimuth position of passive features such as the boundary of a reflecting subsurface formation of a salt dome, or another borehole. The two-transducer array that is disclosed would be too inaccurate to be useful for determining formation layer boundaries in a longitudinal borehole. That is, the signal that is produced is small at null, and has two broad maximum signals with little phase difference at the peaks. Further, the disclosed two-transducer array would be susceptible to noise in a direction ninety degrees to a principal response direction. 
     In accordance with the present invention, the direction of a transmitted waveform is selected by controlling the magnitude and polarity of the driving signal of an acoustic transmitter, and by detecting only that signal that is in the vector direction of a directionally sensitive receiver. The components of the received waveform thereby are effectively separated. When a three-element configuration of a monopole transmitter and a monopole/dipole receiver pair is used, a response having a single, unambiguous peak in the direction of a reflector is produced. Interfering signals such as reflections from fractures and other unwanted responses are discriminated against. The receiver pair is positioned so that a phase measurement is made when both the monopole and dipole receivers have substantial amplitudes. That is, one receiver is not looking away from the source. 
     SUMMARY OF THE INVENTION 
     A simplistic and inexpensive system and method for determining an azimuth position of a subterranean reflecting surface or reflector outside a borehole, wherein the phase of the response of a monopole/dipole receiver pair to a reflection of a waveform generated by either a monopole or a dipole transmitter is used as a measure of the azimuth position. 
     In one aspect of the invention, a cardioid pattern having a null and a peak is formed from monopole and dipole beam patterns of equal amplitude. The monopole and dipole beam patterns in turn are respectively formed from the sum and difference of responses of a monopole/dipole receiver pair to a reflection of an acoustic waveform transmitted by either a monopole or a dipole transmitter. The peak of the cardioid pattern provides an indication of direction of the formation reflector. 
     In another aspect of the invention, the azimuth position and cardioid pattern are used in conjunction with a transmitter sync signal and a borehole tool azimuth reference signal to automatically determine the distance and direction of a reflector outside a borehole. 
     In further aspect of the invention, eight receiver transducers are positioned in a circle of equal radius about the longitudinal axis of a borehole tool in accordance with the present invention to provide an azimuth resolution of forty-five degrees. 
     In a still further aspect of the invention, a monopole and a dipole transmitter pair is used with a single monopole receiver to obtain the azimuth direction of a reflection. 
    
    
     BRIEF DESCRIPTION OF THE DRAWINGS 
     Additional objects, features and advantages of the present invention will become apparent from the following detailed description when read in conjunction with the accompanying drawings in which: 
     FIG. 1 is a graphic illustration of a horizontal or longitudinal borehole within a thin shale bed; 
     FIG. 2 is a graphic illustration of a vertical borehole with a logging or borehole tool in close proximity to a salt dome; 
     FIG. 3 is a graphic illustration of two vertical boreholes, with one borehole having an acoustic source, and the second borehole having a directional receiver in accordance with the invention; 
     FIG. 4 is an electrical schematic diagram of a receiver system in accordance with the invention for determining the azimuth position and distance of a subterranean reflecting surface or reflector outside of a borehole; 
     FIG. 5 is a graphic illustration of a cardioid patterned output of summer  19  of FIG. 4; and 
     FIG. 6 is a graphic illustration of eight receiving elements positioned in a borehole about the longitudinal axis of a logging tool in accordance with the present invention. 
    
    
     DESCRIPTION OF PREFERRED EMBODIMENTS 
     Preferred embodiments of the invention will now be described with reference to the accompanying drawings. 
     Referring to FIG. 1, a horizontal borehole  1  in a thin shale bed  2  is shown, in which a logging or borehole tool  3  follows a drilled borehole, and in accordance with the invention may indicate where the tool is located between shale bed boundaries  2   a  and  2   b.    
     FIG. 2 shows a vertical borehole  4  with logging tool  3 , where in accordance with the invention, the logging tool determines both the azimuth position of a salt dome  5 , and thereafter the distance of the salt dome from the borehole. More particularly, the distance to the reflector can be determined by transmitting a short tone burst of energy, and then measuring the arrival time of the reflection relative to the time of transmission. Since the velocity of sound in the formation is generally known from other measurements or can be closely estimated from geologic data, the distance to the reflector can be calculated. It should be noted that the velocity of sound in the formation can also be estimated by measuring the time delay of the direct refracted arrival of this tool alone. The time duration of the tone burst should be long enough to allow the use of the phase information in the reflected energy, but short enough to permit measuring its arrival time. 
     Usually 5 to 6 cycles of signal are sufficient for both of these purposes. 
     FIG. 3 shows two vertical boreholes  6  and  7 , respectively with logging tools  8  and  9 . Logging tool  8  includes an acoustical source or transmitter  8   a,  and logging tool  9  includes a directional receiver  9   a  in accordance with the invention. Thus, the direction and distance of one borehole with respect to the other may be measured. Further, in the event that both a transmitter source and directional receivers are in a same borehole, by way of example borehole  7 , the direction and an indication of distance of borehole  8  from borehole  7  may be determined in accordance with the invention. 
     Referring to FIG. 4, a monopole/dipole receiver pair is shown with a monopole receiver  10  electrically connected between ground and an input to an amplifier  11 . The output of the amplifier  11  is connected by way of a 5K ohm resistor  12  to an input of a summing amplifier  13 , to a 50K ohm resistor  14  leading to the output of amplifier  13 , and to a 5K ohm resistor  15  leading to the negative input of a differential amplifier  16 . The negative input to amplifier  16  also is connected to the output of an amplifier  17 , and the positive input of the amplifier  16  is electrically connected to the output of amplifier  11 . 
     The input to the amplifier  17  is electrically connected to the output of a dipole receiver  18 , the input of which is connected to ground. 
     In the preferred embodiment disclosed herein, receiver  10  is a monopole receiver and receiver  18  is a dipole receiver. The transmitter (not shown) is either a monopole or a dipole transmitter that produces an acoustic pulse waveform which typically may have a frequency ranging from 100 Hz to 1K Hz, depending upon the logging tool type. 
     The output of amplifier  13  is electrically connected to one input of an adder  19  and to one input of a phase detector  20 . In like manner, the output of amplifier  16  is connected to a second input of the adder  19  and to a second input of the phase detector  20 . 
     The type, part number, and manufacturer&#39;s name and address for each component and device described above and used in the circuit of FIG. 4 is presented in Table I below. 
     
       
         
               
               
               
               
             
           
               
                 TABLE I 
               
               
                   
               
               
                 REFERENCE 
                   
                 MANUFACTURER&#39;S 
                 PART 
               
               
                 NO. 
                 TYPE 
                 NAME &amp; ADDRESS 
                 NUMBER 
               
               
                   
               
             
             
               
                 10 
                 Monopole Receiver 
                 Western Atlas Logging 
                 153251 
               
               
                   
                   
                 Systems 
               
               
                   
                   
                 10205 Westheimer 
               
               
                   
                   
                 Houston, Texas 
               
               
                 11 
                 Amplifier 
                 Analog Devices, Inc. 
                 OP471 
               
               
                   
                   
                 One Technology Way 
               
               
                   
                   
                 Norwood, Virginia 
               
               
                 12 
                 Resistor 
                 Any Standard 
               
               
                 13 
                 Summing Amplifier 
                 Analog Devices, Inc. 
                 OP471 
               
               
                   
                   
                 One Technology Way 
               
               
                   
                   
                 Norwood, Virginia 
               
               
                 14 
                 Resistor 
                 Any Standard 
               
               
                 15 
                 Resistor 
                 Any Standard 
               
               
                 16 
                 Differential 
                 Analog Devices, Inc. 
                 AD625 
               
               
                   
                 Amplifier 
                 One Technology Way 
               
               
                   
                   
                 Norwood, Virginia 
               
               
                 17 
                 Amplifier 
                 Analog Devices, Inc. 
                 OP471 
               
               
                   
                   
                 One Technology Way 
               
               
                   
                   
                 Norwood, Virginia 
               
               
                 18 
                 Dipole Receiver 
                 Western Atlas Logging 
                 15705G 
               
               
                   
                   
                 Systems 
               
               
                   
                   
                 10205 Westheimer 
               
               
                   
                   
                 Houston, Texas 
               
               
                 19 
                 Summer 
                 Analog Devices, Inc. 
                 OP471 
               
               
                   
                   
                 One Technology Way 
               
               
                   
                   
                 Norwood, Virginia 
               
               
                 20 
                 Phase Detector 
                 Mini-Circuit, Inc. 
                 MPD-1 
               
               
                   
                   
                 P.O. Box 350166 
               
               
                   
                   
                 Brooklyn, New York 
               
               
                   
               
             
          
         
       
     
     In operation, the direction of a transmitted waveform of, by way of example only, a monopole transmitter is selected by controlling the magnitude and polarity of a driving signal as is well known by persons skilled in the art. The receivers  10  and  18  receive reflections of an acoustic waveform transmitted by the monopole transmitter through a formation bed. The outputs of receivers  10  and  18  respectively are amplified by amplifiers  11  and  17 , and added by amplifier  13  to provide a monopole beam pattern reference with which to measure the phase of the output of differential amplifier  16 , as appears on line  22 . If the output of phase detector  20  indicates that the signals supplied by amplifiers  11  and  17  are in phase, the direction of the reflection which is the source of the signals is determined by the positive input of the differential amplifier  16 . In contrast, if the phase detector  20  indicates that the signals at the outputs of amplifiers  11  and  17  are out of phase, the direction of the reflection is determined by the negative input to the differential amplifier  16 . 
     As before stated, one of the receivers  10  and  18  is a monopole and the other is a dipole. The dipole receiver may be formed by subtracting the outputs of two monopole receivers. A reflection arriving from the front face of the dipole receiver will have the same phase as measured by the monopole receiver. A reflection arriving from the back of the dipole receiver will be 180 degrees out of phase with the response of the monopole receiver. 
     Further, when a reflection arrives at 90 degrees to the front face of the dipole receiver, the response of the dipole receiver will have only a small amplitude, while the response of the monopole receiver will have a large amplitude. 
     The direction of the reflection thus is determined without requiring a rotation of the receiver elements in the down-hole tool. 
     However, azimuth of a reflection giving rise to the inputs to the receivers  10  and  18  may be determined with more certainty by rotating the receivers. By way of example, the azimuth of the receivers  10  and  18  may be changed by allowing the down-hole tool to rotate naturally as the tool is lowered into the borehole, or by rotating the receiver transducers in the tool by means of a motor. 
     In the alternative, the outputs of the receivers may be treated as vectors, and through control of the vector amplitudes and phases the receiver pair may be mathematically rotated as will be understood by one skilled in the art. By way of example, consider a pressure wave traveling in the -x direction: 
     
       
           P=P   0 *cos(ω+ kx )  (1) 
       
     
     where 
     P is the pressure 
     ω is the angular frequency and 
     k is the wave number, 
     and two pressure transducers located on a line at angle θ to the x axis. The locations of the two transducers are: 
     
       
         x=± a  cos(θ).  (2) 
       
     
     By substituting the x of equation (2) into equation (1), the pressures measured by the two transducers are 
     
       
           P   1   =P   0 *cos(ω+ k*a *cos(θ))  (3) 
       
     
     and 
     
       
           P   2   =P   0 *cos(ω t−k*a *cos(θ)).  (4) 
       
     
     If each signal is phase shifted through a phase angle β by taking the Fourier transform of the signal, altering the phase and taking the inverse transform, the expressions of equations (3) and (4) become: 
     
       
           P   1   =P   0 *cos(ω t+k*a *cos(θ)−β)  (5) 
       
     
     and 
     
       
           P   2   =P   0 *cos(ω t−k*a *cos (θ)+β).  (6) 
       
     
     Mathematically adding and subtracting the phase angle β is equivalent to rotating the physical transducers. In particular if β=k*a*cos (θ), the sum P 1 +P 2  is maximized exactly as if the pair of transducers had been rotated to a line perpendicular to the arrival direction of the sound. 
     Further methods to refine a determination of direction of reflection include making the monopole beam pattern output of amplifier  13  and the dipole beam pattern output of amplifier  16  equal in amplitude, thereafter summing the outputs at summing amplifier  19 , and plotting the output of amplifier  19  as a function of azimuth. Thus, when the direction of reflection of a transmitted waveform gives rise to signals of equal amplitude at the outputs of amplifiers  13  and  16 , the resulting cardioid pattern will have a null  30  and a peak  31  as illustrated in FIG.  5 . In a noisy environment, the null  30  may be lost, but the peak  31  will continue to provide directional information. 
     The resolution of the azimuth direction of a reflection may be increased by increasing the number of receivers. For example, if two receivers are used, the direction of reflection may be determined within 180°, for four receivers within 90°, six receivers within 60° degrees, and eight receivers within 45°. Referring to FIG. 6, a preferred embodiment using eight receivers  40 - 47  about a longitudinal axis  48  of a borehole tool is shown. A monopole transmitter may be located in the tool electronics module, and each of the receiver transducers  40 - 47  many be a monopole/dipole receiver pair as illustrated in FIG.  4 . 
     The results obtained from an acoustic system comprised of a monopole transmitter and a monopole/dipole receiver pair as described above, may also be obtained by using an acoustic system comprised of a monopole transmitter and a dipole transmitter with a single monopole receiver. In that event, the receiver detects a composite waveform from the reflection of the monopole and dipole waveforms generated respectively by the monopole and dipole transmitters. The output of the receiver is a cardioid beam pattern similar to that of FIG. 5, which provides an indication of azimuth direction when a substantial peak is formed upon pointing the receiver in the direction of the reflector. 
     In the embodiment described above, the dipole transmitter may be comprised of two monopole transmitters driven out of phase. 
     As before stated, the invention may determine not only the azimuth position, but also the distance of a reflector outside a borehole. Referring again to FIG. 4, both azimuth position and distance of a reflector are automatically determined through the addition of a digital processor as illustrated. More particularly, lines  21  and  22  are respectively electrically connected by way of A/D converters  23  and  24  to inputs of a digital processor  25 , which also receives an azimuth reference signal on line  26  from a tool orientation generator (not shown) to provide an azimuth reference signal, and a transmission sync signal on line  27  from the transmitter to provide a time reference for measuring the difference between time of transmission and time of arrival of a reflection. With these inputs, the digital processor  25  may automatically determine both the azimuth position and distance of a reflector. Such information is output by the processor on line  28 . 
     The present invention has been particularly shown and described in detail with reference to preferred embodiments, which are merely illustrative of the principles of the invention and are not to be taken as limitations to its scope. Further, it will be readily understood by those skilled in the art that numerous changes and modifications may be made without departing from the spirit of the invention. For example, instead of a monopole/dipole receiver pair, a single bimorph or bender element may be used. Further, the acoustic waveform generated by the transmitter of FIG. 4 could be a swept frequency or continuous wave as well as a pulse. Still further, each transmitter or receiver transducer could have a vertical beam pattern, or swept vertical pattern, to obtain more complete imaging data. Also, the transmitter configuration of the present invention could be operated at multiple frequencies to obtain varying resolutions and depth of investigation, and where plural transmitters are used, plural transmitter frequencies could be used simultaneously to determine a match of the wavelength of the formation feature under investigation. Accordingly, it should be clearly understood that the form of the invention as described and depicted in the specification and drawings is illustrative only, and is not intended to limit the scope of the invention. All changes and substitutions which come within the meaning and range of the equivalence of the claims are therefore intended to be embraced therein.