Abstract:
A method for interpreting transient electromagnetic survey data includes measuring response of subsurface Earth formations to a plurality of time separated transient electromagnetic fields imparted thereto. An amplitude time decay of a selected one of the measured responses is modeled. An amplitude from the modeled amplitude time decay is added to a one of the measured responses later in time than the selected measured response if the amplitude is less than a selected threshold. The method includes at least one of storing and displaying a result of the adding.

Description:
CROSS-REFERENCE TO RELATED APPLICATIONS 
       [0001]    Continuation of application Ser. No. 11/479,919 filed Jul. 1, 2006, now U.S. Pat. No. 7,356,411. 
     
    
     STATEMENT REGARDING FEDERALLY SPONSORED RESEARCH OR DEVELOPMENT 
       [0002]    Not applicable. 
       BACKGROUND OF THE INVENTION 
       [0003]    1. Field of the Invention 
         [0004]    The invention relates generally to the field of transient controlled-source electromagnetic conductivity measurement apparatus and methods subsurface Earth formations. More specifically, the invention relates to methods for acquiring and interpreting controlled-source electromagnetic measurements that account for so-called “run-on” effects. The invention can be used with but is not limited to marine electromagnetic and borehole electromagnetic surveying or geosteering. 
         [0005]    2. Background Art 
         [0006]    Controlled source electromagnetic surveying includes imparting an electric current or a magnetic field into subsurface Earth formations, through the sea floor in marine surveying or through the borehole fluid in borehole surveying, and measuring voltages and/or magnetic fields induced in electrodes, antennas and/or magnetometers disposed near the Earth&#39;s surface or on the sea floor. The voltages and/or magnetic fields are induced in response to the electric current and/or magnetic field imparted into the Earth&#39;s subsurface. 
         [0007]    Controlled source surveying known in the art typically includes imparting alternating electric current into the subsurface. The alternating current has one or more selected frequencies. Such surveying is known as frequency domain controlled source electromagnetic (f-CSEM) surveying. f-CSEM surveying techniques are described, for example, in Sinha, M. C. Patel, P. D., Unsworth, M. J., Owen, T. R. E., and MacCormack, M. G. R., 1990,  An active source electromagnetic sounding system for marine use , Marine Geophysical Research, 12, 29-68. Other publications which describe the physics of and the interpretation of electromagnetic subsurface surveying include: Edwards, R. N., Law, L. K., Wolfgram, P. A., Nobes, D. C., Bone, M. N., Trigg, D. F., and DeLaurier, J. M., 1985,  First results of the MOSES experiment: Sea sediment conductivity and thickness determination, Bute Inlet, British Columbia, by magnetometric offshore electrical sounding : Geophysics 50, No. 1, 153-160; Edwards, R. N., 1997,  On the resource evaluation of marine gas hydrate deposits using the sea - floor transient electric dipole - dipole method : Geophysics, 62, No. 1, 63-74; Chave, A. D., Constable, S. C. and Edwards, R. N., 1991,  Electrical exploration methods for the seafloor : Investigation in geophysics No 3, Electromagnetic methods in applied geophysics, vol. 2, application, part B, 931-966; and Cheesman, S. J., Edwards, R. N., and Chave, A. D., 1987,  On the theory of sea - floor conductivity mapping using transient electromagnetic systems : Geophysics, 52, No. 2, 204-217. Typical borehole related applications are described in Strack (U.S. Pat. No. 6,541,975 B2, 6,670,813, and 6,739,165) and Hanstein et al., (U.S. Pat. No. 6,891,376). The proposed methodology is not limited to such applications because the array is moving along the survey area. 
         [0008]    Following are described several patent publications which describe various aspects of electromagnetic subsurface Earth surveying. For the marine case, U.S. Pat. No. 5,770,945 issued to Constable describes a magnetotelluric (MT) system for sea floor petroleum exploration. The disclosed system includes a first waterproof pressure case containing a processor, AC-coupled magnetic field post-amplifiers and electric field amplifiers, a second waterproof pressure case containing an acoustic navigation/release system, four silver-silver chloride electrodes mounted on booms and at least two magnetic induction coil sensors. These elements are mounted together on a plastic and aluminum frame along with flotation devices and an anchor for deployment to the sea floor. The acoustic navigation/release system serves to locate the measurement system by responding to acoustic “pings” generated by a ship-board unit, and receives a release command which initiates detachment from the anchor so that the buoyant package floats to the surface for recovery. The electrodes used to detect the electric field are configured as grounded dipole antennas. Booms by which the electrodes are mounted onto a frame are positioned in an X-shaped configuration to create two orthogonal dipoles. The two orthogonal dipoles are used to measure the complete vector electric field. The magnetic field sensors are multi-turn, Mu-metal core wire coils which detect magnetic fields within the frequency range typically used for land-based MT surveys. The magnetic field coils are encased in waterproof pressure cases and are connected to the logger package by high pressure waterproof cables. The logger unit includes amplifiers for amplifying the signals received from the various sensors, which signals are then provided to the processor which controls timing, logging, storing and power switching operations. Temporary and mass storage is provided within and/or peripherally to the processor. 
         [0009]    U.S. Pat. No. 6,603,313 B1 issued to Srnka discloses a method for surface estimation of reservoir properties, in which location of and average earth resistivities above, below, and horizontally adjacent to subsurface geologic formations are first determined using geological and geophysical data in the vicinity of the subsurface geologic formation. Then dimensions and probing frequency for an electromagnetic source are determined to substantially maximize transmitted vertical and horizontal electric currents at the subsurface geologic formation, using the location and the average earth resistivities. Next, the electromagnetic source is activated at or near surface, approximately centered above the subsurface geologic formation and a plurality of components of electromagnetic response is measured with a receiver array. Geometrical and electrical parameter constraints are determined, using the geological and geophysical data. Finally, the electromagnetic response is processed using the geometrical and electrical parameter constraints to produce inverted vertical and horizontal resistivity depth images. Optionally, the inverted resistivity depth images may be combined with the geological and geophysical data to estimate the reservoir fluid and shaliness properties. 
         [0010]    U.S. Pat. No. 6,628,110 B1 issued to Eidesmo et al. discloses a method for determining the nature of a subterranean reservoir whose approximate geometry and location are known. The disclosed method includes: applying a time varying electromagnetic field to the strata containing the reservoir; detecting the electromagnetic wave field response; and analyzing the effects on the characteristics of the detected field that have been caused by the reservoir, thereby determining the content of the reservoir, based on the analysis. 
         [0011]    U.S. Pat. No. 6,541,975 B2 and U.S. Pat. No. 6,670,813 issued to Strack disclose a system for generating an image of an Earth formation surrounding a borehole penetrating the formation. Resistivity of the formation is measured using a DC measurement and conductivity and resistivity of the formations is measured with a time domain signal or AC measurement. Acoustic velocity of the formation is also measured. The DC resistivity measurement, the conductivity measurement made with a time domain electromagnetic signal, the resistivity measurement made with a time domain electromagnetic signal and the acoustic velocity measurements are combined to generate the image of the Earth formation. 
         [0012]    U.S. Pat. No. 6,739,165 issued to Strack discloses a method where transient electromagnetic measurements are performed with a receiver or transmitter being placed in a borehole and the other being placed on the surface. Either is being moved and images of fluid content changes of the reservoir are obtained. 
         [0013]    International Patent Application Publication No. WO 0157555 A1 discloses a system for detecting a subterranean reservoir or determining the nature of a subterranean reservoir whose position and geometry is known from previous seismic surveys. An n electromagnetic field is applied by a transmitter on the seabed and is detected by antennae also on the seabed. A refracted wave component is sought in the wave field response, to determine the nature of any reservoir present. 
         [0014]    International Patent Application Publication No. WO 03048812 A1 discloses an electromagnetic survey method for surveying an area previously identified as potentially containing a subsea hydrocarbon reservoir. The method includes obtaining first and second survey data sets with an electromagnetic source aligned end-on and broadside relative to the same or different receivers. The invention also relates to planning a survey using this method, and to analysis of survey data taken in combination allow the galvanic contribution to the signals collected at the receiver to be contrasted with the inductive effects, and the effects of signal attenuation, which are highly dependent on local properties of the rock formation, overlying water and air at the survey area. This is very important to the success of using electromagnetic surveying for identifying hydrocarbon reserves and distinguishing them from other classes of structure. 
         [0015]    U.S. Pat. No. 6,842,006 B1 issued to Conti et al. discloses a sea-floor electromagnetic measurement device for obtaining underwater magnetotelluric (MT) measurements of earth formations. The device includes a central structure with arms pivotally attached thereto. The pivoting arms enable easy deployment and storage of the device. Electrodes and magnetometers are attached to each arm for measuring electric and magnetic fields respectively, the magnetometers being distant from the central structure such that magnetic fields present therein are not sensed. A method for undertaking sea floor measurements includes measuring electric fields at a distance from the structure and measuring magnetic fields at the same location. 
         [0016]    U.S. Patent Application Publication No. 2004 232917 relates to a method of mapping subsurface resistivity contrasts by making multichannel transient electromagnetic (MTEM) measurements on or near the Earth&#39;s surface using at least one source, receiving means for measuring the system response and at least one receiver for measuring the resultant earth response. All signals from the or each source-receiver pair are processed to recover the corresponding electromagnetic impulse response of the earth and such impulse responses, or any transformation of such impulse responses, are displayed to create a subsurface representation of resistivity contrasts. The system and method enable subsurface fluid deposits to be located and identified and the movement of such fluids to be monitored. 
         [0017]    U.S. Pat. No. 5,467,018 issued to Rueter et al. discloses a bedrock exploration system. The system includes transients generated as sudden changes in a transmission stream, which are transmitted into the Earth&#39;s subsurface by a transmitter. The induced electric currents thus produced are measured by several receiver units. The measured values from the receiver units are passed to a central unit. The measured values obtained from the receiver units are digitized and stored at the measurement points, and the central unit is linked with the measurement points by a telemetry link. By means of the telemetry link, data from the data stores in the receiver units can be successively passed on to the central unit. 
         [0018]    U.S. Pat. No. 5,563,913 issued to Tasci et al. discloses a method and apparatus used in providing resistivity measurement data of a sedimentary subsurface. The data are used for developing and mapping an enhanced anomalous resistivity pattern. The enhanced subsurface resistivity pattern is associated with and an aid for finding oil and/or gas traps at various depths down to a basement of the sedimentary subsurface. The apparatus is disposed on a ground surface and includes an electric generator connected to a transmitter with a length of wire with grounded electrodes. When large amplitude, long period, square waves of current are sent from a transmission site through the transmitter and wire, secondary eddy currents are induced in the subsurface. The eddy currents induce magnetic field changes in the subsurface which can be measured at the surface of the earth with a magnetometer or induction coil. The magnetic field changes are received and recorded as time varying voltages at each sounding site. Information on resistivity variations of the subsurface formations is deduced from the amplitude and shape of the measured magnetic field signals plotted as a function of time after applying appropriate mathematical equations. The sounding sites are arranged in a plot-like manner to ensure that areal contour maps and cross sections of the resistivity variations of the subsurface formations can be prepared. 
         [0019]    A limitation to f-CSEM techniques known in the art is that in marine surveying they are typically limited to relatively great water depth, on the order of 800-1,000 meters, or a ratio of ocean water depth to subsurface reservoir depth (reservoir depth measured from the sea floor) of greater than about 1.5 to 2.0. 
         [0020]    A typical f-CSEM marine survey can be described as follows. A recording vessel includes cables which connect to electrodes disposed on the sea floor. An electric power source on the vessel charges the electrodes such that a selected magnitude of current flows through the sea floor and into the Earth formations below the sea floor. At a selected distance (“offset”) from the source electrodes, receiver electrodes are disposed on the sea floor and are coupled to a voltage measuring circuit, which may be disposed on the vessel or a different vessel. The voltages imparted into the receiver electrodes are then analyzed to infer the structure and electrical properties of the Earth formations in the subsurface. 
         [0021]    Another technique for electromagnetic surveying of subsurface Earth formations known in the art is transient controlled source electromagnetic surveying (t-CSEM). In t-CSEM, electric current is imparted into the Earth at the Earth&#39;s surface, in a manner similar to f-CSEM. The electric current may be direct current (DC). At a selected time, the electric current is switched off, and induced voltages and/or magnetic fields are measured, typically with respect to time over a selected time interval, at the Earth&#39;s surface. Structure of the subsurface is inferred by the time distribution of the induced voltages and/or magnetic fields. t-CSEM techniques are described, for example, in Strack, K.-M., 1992,  Exploration with deep transient electromagnetics , Elsevier, 373 pp. (reprinted 1999). 
         [0022]    A particular consideration in using t-CSEM surveying techniques is that the measured voltages and/or magnetic fields are as a practical matter related not only to the current switching event that the measurements directly follow, but earlier current switching events. The amplitude of the measured magnetic fields and/or the measured voltages decays as time from the switching event increases. After a sufficient amount of time has passed from a particular switching event, the amplitude of the measured magnetic field and/or voltages decays substantially to zero. The amount of time required for the amplitudes to sufficiently decay may in some instances be so long as to make it impractical to acquire measurements that do not have effect of prior switching events in the measured magnetic fields and/or voltages. What is needed is a method to acquire t-CSEM measurements that takes account of prior current switching events so as to practically minimize the time between successive switching. 
       SUMMARY OF THE INVENTION 
       [0023]    A method for interpreting transient electromagnetic survey data according to one aspect of the invention includes measuring response of subsurface Earth formations to a plurality of time separated transient electromagnetic fields imparted thereto. An amplitude time decay of a selected one of the measured responses is modeled. An amplitude from the modeled amplitude time decay is added to a one of the measured responses later in time than the selected measured response if the amplitude is less than a selected threshold. The method includes at least one of storing and displaying a result of the adding. 
         [0024]    Other aspects and advantages of the invention will be apparent from the following description and the appended claims. 
     
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
         [0025]      FIG. 1A  shows a marine transient electromagnetic survey system using a horizontal electric dipole current source and a seismic source. 
           [0026]      FIG. 1B  shows a marine transient electromagnetic survey system using a vertical electric dipole current source. 
           [0027]      FIG. 2  shows an alternative way to energize the Earth using magnetic fields. 
           [0028]      FIG. 3  is a flow chart of one embodiment of a method according to the invention. 
           [0029]      FIG. 4  is a graph of induced voltage after current switching to demonstrate the effect of run on. 
       
    
    
     DETAILED DESCRIPTION 
       [0030]      FIG. 1A  shows one embodiment of a marine transient controlled source electromagnetic (t-CSEM) survey system for use with methods according to various aspects of the invention. The system includes a survey vessel  10  that moves in a predetermined pattern along the surface of a body of water  11  such as a lake or the ocean. The vessel  10  includes thereon source actuation, recording and navigation equipment, shown generally at  12  and referred to herein as the “recording system.” The recording system  12  includes a controllable source of electric current used to energize electrodes  16 A  16 B towed in the water  11  near the bottom  13  thereof to impart an electric field in subsurface formations  15 ,  17  below the bottom  13  of the water.). The recording system  12  includes instrumentation to determine the geodetic position of the vessel  10  at any time, such as can be performed using global positioning system (GPS) receivers or the like. The recording system  12  includes equipment to transfer signals from one or more recording buoys  22 . The recording buoys  22  receive and store signals from each of a plurality of t-CSEM sensors  20  positioned on the water bottom  13 . The sensors may be disposed along a cable  18 . The cable  18  may be of a type used in connection with seismic sensors deployed on the water bottom known in the art as “ocean bottom cables.” 
         [0031]    The sensors  20  detect various electric and/or magnetic fields that result from electric fields induced in the Earth&#39;s subsurface by current passing through the electrodes  16 A,  16 B. The recording buoys  22  may include telemetry devices (not shown separately) to transmit data from the received signals to the vessel  10 , and/or may store the signals locally for later interrogation by the recording system  12  or by another interrogation device. 
         [0032]    The current source (not shown separately) on the vessel  10  is coupled to the electrodes  16 A,  16 B by a cable  14 A. The cable  14 A is configured such that the electrodes  16 A,  16 B can be towed essentially horizontally near the water bottom  13  as shown in  FIG. 1A . In the present embodiment, the electrodes can be spaced apart about 50 meters, and can be energized such that about 1000 Amperes of current flows through the electrodes  16 A,  16 B. This is an equivalent source moment to that generated in typical electromagnetic survey practice known in the art using a 100 meter long transmitter dipole, and using 500 Amperes current. In either case the source moment can be about 5×10 4  Ampere-meters. The electric current used to energize the transmitter electrodes  16 A,  16 B can be direct current (DC) switched off at a time index equal to zero. It should be understood, however, that switching DC off is only one implementation of electric current change that is operable to induce transient electromagnetic effects. In other embodiments, the current may be switched on, may be switched from one polarity to the other (bipolar switching), or may be switched in a pseudo-random binary sequence (PRBS) or any hybrid derivative of such switching sequences. See, for example, Duncan, P. M., Hwang, A., Edwards, R. N., Bailey, R. C., and Garland, G. D., 1980, The development and applications of a wide band electromagnetic sounding system using pseudo-noise source. Geophysics, 45, 1276-1296 for a description of PRBS switching. 
         [0033]    The vessel may also tow a seismic source  9  for contemporaneous seismic and electromagnetic surveying. In such embodiments, the water bottom cable  18  may include seismic sensors  21  of any type known in the art. 
         [0034]    In the present embodiment, as the current through the transmitter electrodes  16 A,  16 B is switched, a time-indexed recording of electric and/or magnetic fields detected by the various sensors  20  is recorded, either in the recording buoys  22  and/or in the recording system  12 , depending on the particular configuration of recording and/or telemetry equipment in the recording buoys  22  and in the recording system  12 . 
         [0035]      FIG. 1B  shows an alternative implementation of signal generation and recording, in which the transmitter electrodes  16 A,  16 B are arranged such that they are oriented substantially vertically along a cable  14 B configured to cause the electrodes  16 A,  16 B to be oriented substantially vertically as shown in  FIG. 1B . Energizing the electrodes  16 A,  16 B, detecting and recording signals is performed substantially as explained above with reference to  FIG. 1A . 
         [0036]    The embodiments of  FIG. 1A  and  FIG. 1B  use electric current applied to electrodes to impart an electric field into the Earth&#39;s subsurface. An alternative to electric fields is to use magnetic fields, and such will be explained with reference to  FIG. 2 . In  FIG. 2 , the vessel  10  tows a cable  14 C which is connected to two loop transmitters  17 A and  17 B. The first loop transmitter  17 A encloses and area perpendicular to the water bottom  13 . Periodically, the recording system  12  causes electric current to flow through the first loop transmitter  17 A. The current can be in any of the same forms as described with reference to  FIG. 1A , including switched DC, PRBS, and alternating polarity DC. When the current changes, a transient magnetic field having dipole moment along direction MA is imparted into the Earth. At the same or at different times, current is applied to the second loop transmitter  17 B. The second loop transmitter may be in the form of a solenoid coil, having a magnetic moment along direction MB. 
         [0037]    The foregoing embodiments have been explained in the context of marine electromagnetic surveying. It should be clearly understood that the foregoing embodiments are equally applicable to surveys conducted on land at the surface of the Earth or in a borehole. When conducted on land at the surface of the Earth, the sensors can be deployed in substantially similar patterns to that shown in  FIG. 1A . The survey current source may be applied in the form of electric current, as shown in  FIG. 1A , at the Earth&#39;s surface, or in the form of magnetic fields, as shown in and described with reference to  FIG. 2 . For purposes of defining the scope of the invention, the various survey devices can be said to be disposed at the top of an area of the Earth&#39;s subsurface to be surveyed. The top of the Earth&#39;s subsurface will be at the bottom of the water in a marine survey, and at the surface of the Earth in a land based survey, or on the top of a layer of floating ice where such surveys are to be conducted. 
         [0038]    One embodiment of an acquisition and processing method according to the invention is shown in the form of a flow chart in  FIG. 3 . Transient electromagnetic data may be acquired substantially as explained above with reference to  FIGS. 1A ,  1 B and  2 . At  30 , an initial model of the conductivity distribution in the Earth&#39;s subsurface is made for a volume of the Earth&#39;s subsurface, typically that corresponds to the acquisition geometry at the time t-CSEM measurements are made. The volume will depend on, among other factors, the positions of the various electrodes and/or loop antennas used during measurement acquisition. The initial model is used, at  32 , to generate an expected transient response (whether in voltage or magnetic field amplitude) with respect to time for a first selected switching event. As previously explained, such switching event may be current switch on, current switch off or current polarity reversal. Current polarity reversal, in some embodiments, may include a short duration intervening current switch off, depending on the apparatus used to make the measurements. It will be appreciated by those skilled in the art that forward modeling programs known in the art for calculating transient response do not take account of any undecayed effects of prior current switching events. 
         [0039]    In the present embodiment, at  34 , a transient response for a switching event prior in time to the first switching event in the acquisition sequence is calculated, preferably using the same forward modeling procedure used to calculate the transient response for the first switching event, and using the same initial model of conductivity distribution. At  36 , the calculated transient response of the prior switching event is evaluated with respect to a selected threshold. The selected threshold may be, for example, a predetermined fraction of the peak amplitude of the transient response of the first switching event. The selected threshold may be a predetermined peak amplitude value. If the peak amplitude of the calculated response of the prior switching event is below the threshold, at  40 , the calculated responses of the prior event and the first switching event are summed. The threshold is selected such that the effect of a switching event having such transient response is believed to substantially not affect the measured response of the first switching event. 
         [0040]    If the calculated response for the prior event is above the selected threshold, then at  38  the data are examined for a switching event back in time from the prior switching event. A transient response for such back in time switching event is calculated at  34 , just as for the prior switching event. The foregoing process is repeated for successively earlier switching events until the peak amplitude of the calculated transient response for such switching event is below the selected threshold. At such time, the calculated transient responses for all such switching events are summed, at  40 . The summed response is compared, at  41 , to the voltage and/or magnetic field actually measured at the first switching event. At  42 , if the difference between the summed calculated responses and the measured response exceeds a selected threshold, at least one parameter of the initial model is adjusted, at  46 , and the process is repeated from  32  to  42 . Such adjustment of the model, and repetition of the process continues until the difference between the calculated response and the measured response is below the selected threshold, at  44 , at which point the process is completed with respect to the first switching event. 
         [0041]    The foregoing procedure may be repeated for measurements corresponding to other volumes in the Earth&#39;s subsurface until the user has determine conductivity distribution over a desired total volume of the Earth&#39;s subsurface. 
         [0042]    Alternatively, the measurements made can be analyzed without reference to a model of the Earth&#39;s subsurface. In such alternative implementation, transient response of some portion of the Earth&#39;s subsurface or other medium is measured during a plurality of switching events. The response will include decaying amplitude of measured induced voltage and/or magnetic field. The transient response after a first one of the switching events may then be modeled such as by curve fit or other mathematical representation, or by equivalent analog circuit analysis, for example. In the present embodiment, at  34 , a transient response for a switching event prior in time to the first switching event in the acquisition sequence is calculated, preferably using the same modeling procedure used to calculate the transient response for the first switching event. At  36 , the calculated transient response of the prior switching event is evaluated with respect to a selected threshold. The selected threshold may be, for example, a predetermined fraction of the peak amplitude of the transient response of the first switching event. The selected threshold may be a predetermined peak amplitude value. If the peak amplitude of the calculated response of the prior switching event is below the threshold, at  40 , the calculated responses of the prior event and the first switching event are summed. The threshold is selected such that the effect of a switching event having such transient response is believed to substantially not affect the measured response of the first switching event. 
         [0043]    If the calculated response for the prior switching event is above the selected threshold, then at  38  the data are examined for a switching event back in time from the prior switching event. A transient response for such back in time switching event is calculated at  34 , just as for the prior switching event. The foregoing process can be repeated for successively earlier switching events until the peak amplitude of the calculated transient response for such switching event is below the selected threshold. At such time, the calculated transient responses for all such switching events are summed, at  40 . The summed response is compared, at  41 , to the voltage and/or magnetic field actually measured at the first switching event. At  42 , if the difference between the summed calculated responses and the measured response exceeds a selected threshold, at least one parameter of the model is adjusted, at  46 , and the process is repeated from  32  to  42 . Such adjustment of the model, and repetition of the process continues until the difference between the calculated response and the measured response is below the selected threshold, at  44 , at which point the process is completed with respect to the first switching event. 
         [0044]    An example of the run on effect on transient response is shown in a graph in  FIG. 4 . The graph in  FIG. 4  is a plot of apparent formation resistivity with respect to current switching event time. The current switching event used to generate the graph in  FIG. 4  is a polarity reversal. The uppermost curve, labeled No Run On, represents the transient response and apparent resistivity calculated therefrom where no run on correction was used. The other curves represent transient response for one run on cycle correction through four run on cycles correction, respectively. The reason the one run on cycle correction appears to have the greatest effect is believed to be related to the type of current switching event, which as previously stated is a polarity reversal. Other types of switching events may provide different results with respect to the number of run on cycles of correction. 
         [0045]    While the invention has been described with respect to a limited number of embodiments, those skilled in the art, having benefit of this disclosure, will appreciate that other embodiments can be devised which do not depart from the scope of the invention as disclosed herein. Accordingly, the scope of the invention should be limited only by the attached claims.