Modern oil field operations demand a great quantity of information relating to the parameters and conditions encountered downhole. Such information typically includes characteristics of the earth formations traversed by the borehole, and data relating to the size and configuration of the borehole itself. The collection of information relating to conditions downhole, which commonly is referred to as “logging,” can be performed by several methods including wireline logging and “logging while drilling” (LWD).
In wireline logging, a probe or “sonde” is lowered into the borehole after some or the entire well has been drilled. The sonde hangs at the end of a long cable or “wireline” that provides mechanical support to the sonde and also provides an electrical connection between the sonde and electrical equipment located at the surface of the well. In accordance with existing logging techniques, various parameters of the earth's formations are measured and correlated with the position of the sonde in the borehole as the sonde is pulled uphole.
In LWD, the drilling assembly includes sensing instruments that measure various parameters as the formation is being penetrated. While LWD techniques allow more contemporaneous formation measurements, drilling operations create an environment that is generally hostile to electronic instrumentation and sensor operations.
In these and other logging environments, it is desirable to construct an image of the borehole wall. Among other things, such images reveal the fine-scale structure of the penetrated formations. The fine-scale structure includes stratifications such as shale/sand sequences, fractures, and non-homogeneities caused by irregular cementation and variations in pore size. Orientations of fractures and strata can also be identified, enabling more accurate reservoir flow modeling.
Borehole wall imaging can be accomplished in a number of ways, but micro-resistivity tools have proven to be effective for this purpose. Micro-resistivity tools measure borehole surface resistivity on a fine scale. The resistivity measurements can be converted into pixel intensity values to obtain a borehole wall image. However, oil-based muds can inhibit such measurements due to the variability of impedance in the mud surrounding the tool. U.S. Pat. No. 6,191,588 (Chen) discloses an imaging tool for use in oil-based muds. Chen's resistivity tool employs at least two pairs of voltage electrodes positioned on a non-conductive surface between a current source electrode and a current return electrode. At least in theory, the separation of voltage and current electrodes eliminates the oil-based mud's effect on voltage electrode measurements, enabling at least qualitative measurements of formation resistivity.
In constructing an imaging tool for use in oil-based muds, certain engineering constraints on the structural strength of sensor pads will be recognized. The engineering constraints may be met by making the sensor pad base out of a metal such as steel. Though the steel can be insulated to present a non-conductive external surface, the electrical conductivity of the base creates potential current leakage paths via the metal body of the pad. These leakage paths affect the accuracy and stability of the tool's resistivity measurements and can cause error in the measurement of formation resistivity, especially when the source current operating frequency increases.
Another source of formation resistivity measurement error is caused by the finite input impedance of the differential voltage amplifier circuitry coupled to the differential voltage sensing voltage electrodes. This error is further exacerbated by the presence of a common mode voltage between the formation under the voltage electrodes and the reference voltage of the amplifier circuitry. The finite input impedance of the amplifier circuit allows a small amount of current to flow into the voltage electrodes and amplifier, creating a variable voltage divider that causes the common mode voltage to affect the differential voltage at the voltage electrodes. The influence of the common mode voltage on the differential voltage measurement creates inaccuracies in the borehole resistivity images.
One proposed method of reducing the common mode voltage relies on isolating the current source transmitter circuitry from the reference ground of the amplifier. For this method to work, the impedance of the isolation between the transmitter and the reference ground would have to be significantly higher than the impedance between the voltage electrodes and the formation. Unfortunately, such an environment would be very difficult, if not impossible, to achieve because the impedance from the voltage electrodes to the formation is often much higher than the parasitic impedance from the transmitter to the amplifier reference ground due to the presence of the layer of oil-based mud in the borehole. Accordingly, an improved method and system to minimize the effects of a common mode voltage signal in borehole resistivity imaging is needed.
In the following detailed description, reference will be made to the accompanying drawings, in which:
The drawings show illustrative invention embodiments that will be described in detail. However, the description and accompanying drawings are not intended to limit the invention to the illustrative embodiments, but to the contrary, the intention is to disclose and protect all modifications, equivalents, and alternatives falling within the spirit and scope of the appended claims.
Disclosed herein are various methods and systems for minimizing the effects of a common mode voltage signal in instruments and systems for imaging in nonconductive fluids such as an oil-based mud. In some embodiments, disclosed logging systems include a logging tool in communication with surface computing facilities such as a personal computer, server, or digital signal processing board, or some other form of computing circuit. The logging tool is provided with a sensor array having at least two voltage electrodes positioned between at least two current electrodes that inject an excitation signal into a borehole wall formation, and is further provided with an electronic amplifier circuit to determine a differential voltage between the voltage electrodes and two current flows from separate ones of the current electrodes. A common mode voltage, arising from the potential difference between the formation and the reference ground of the differential voltage amplifier circuit, is measured. The injected current excitation signal is altered and is monitored in real time in order to minimize the common mode voltage without reducing the electric field creating the differential voltage in the borehole wall.
An LWD resistivity imaging tool 26 is integrated into the bottom-hole assembly near the bit 14. As the bit extends the borehole through the formations, logging tool 26 collects measurements relating to various formation properties as well as the bit position and various other drilling conditions. The logging tool 26 may take the form of a drill collar, i.e., a thick-walled tubular that provides weight and rigidity to aid the drilling process. A telemetry sub 28 may be included to transfer tool measurements to a surface receiver 30 and to receive commands from the surface receiver.
At various times during the drilling process, the drill string 8 may be removed from the borehole. Once the drill string has been removed, logging operations can be conducted using a wireline logging tool 34, i.e., a sensing instrument sonde suspended by a cable 42 having conductors for transporting power to the tool and telemetry from the tool to the surface. A resistivity imaging portion of the logging tool 34 may have sensing pads 36 that slide along the borehole wall as the tool is pulled uphole. A logging facility 44 collects measurements from the logging tool 34, and includes computing facilities for processing and storing the measurements gathered by the logging tool.
In the logging scenarios described above with respect to
The mudcake and fluid flow layers have a very low conductivity, which creates some difficulty for high-resolution measurements of borehole wall resistivity. Measurements through the low-conductivity layers may be improved by (1) using an alternating current, (2) separating the electrodes that source a current from the electrodes that measure a voltage, and (3) using a source current with a higher operating frequency.
A cross-section of the illustrative sensor pad 502 is shown in
In certain embodiments of the present invention, the current flowing into current electrodes 506, 508 may be measured and then used to determine the resistivity of the adjacent formation. Referring to
When tool 34 is operated at a very low source current frequency of excitation (i.e., approximately less than 2-5 kHz), the capacitive coupling to the metal body of sensor pad 502 is negligible, meaning that the current leakage between current electrodes 506, 508 and the metal body of sensor pad 502 is very small and the measurement of excitation current injected from current electrodes 506, 508 is relatively accurate. However, the operation of tool 34 at low current frequencies results in poor accuracy when measuring borehole wall resistivity due to the low voltage difference generated between voltage electrodes 504. The use of higher frequencies (e.g., in excess of 5 kHz, and typically in the range of 10 kHz to 100 kHz) can provide more accurate measurements of the adjacent borehole wall resistivity, and is preferable for the measurement of low resistivity formations (i.e., less than 5 Ohm-m). An increase in the source current excitation frequency may produce a corresponding undesirable increase in current leakage from current electrodes 506, 508 to the metal body of pad sensor 502. The measurement error induced by this leakage current can be reduced by the use of guard electrodes and the method explained in the related application referenced herein, entitled “OMBI Tool with Guarded Electrode Current Measurement.”
Referring now to
As a result, an erroneous and unwanted voltage differential is created between voltage electrodes 504 and is superimposed to the voltage difference that is proportional to the resistivity of formation 18 generated by current flow 724 that flows parallel to the surface of pad 502. This erroneous and unwanted voltage differential attributable to the finite input impedance of amplifier 722 is, to a first order approximation, proportional to the common mode voltage. Common mode voltage is the potential difference between the reference ground of amplifier 722 and the mean potential of the formation in front of voltage electrodes 504. While the reference ground of amplifier 722 is often connected to the metal body of sensor pad 502, other implementations are possible where the reference ground is offset or driven to a different potential.
The effect of this measurement error may be significant during the measurement of formations with a low resistivity (i.e., less than 5 Ohm-m) using the current injection method described above, wherein the measurement of a low voltage difference between voltage electrodes 504 may be needed. In order to reduce the measurement error due to the effect of common mode voltage on the differential voltage, the common mode voltage at voltage electrodes 504 is minimized in the preferred embodiments.
In a preferred embodiment of the present invention, measurement circuitry 802 comprises current or voltage source transmitters 805, 806 that drive an oscillating excitation current between the current electrodes (“right electrode” and “left electrode”). The two independently controlled transmitters 805, 806, or excitation sources, may be connected directly or through an impedance to a ground common to all circuitry in pad 502. Transmitters 805, 806 each have separate controls for the relative magnitude and the relative phase of the excitation signal. The ability to control one or both of transmitters 805, 806 provides the capability to inject a synchronized excitation current from the right electrode and left electrode at the desired frequency with relative phase and/or amplitude independently controlled as required for achieving the needed amplitude and phase to minimize the common mode voltage. In certain embodiments, the control of transmitters 805, 806 may be accomplished by the use of either firmware or hardware based Numerically Controlled Oscillators (NCO's). Alternatively, the control of transmitters 805, 806 may be accomplished by use of Phase-Locked-Loops (PLL's).
Initially, detectors 816, 817 are utilized to measure the common mode voltage at voltage electrodes 504 by sampling the voltage signals VA and VB using an analog-to-digital converter. The digital signals are then averaged to find the common mode voltage VC (i.e., VC=(VA+VB)/2). In addition, the relative phase may be determined by performing quadrature detection in firmware. Alternatively, it is contemplated that the power rails for detectors 816, 817 may be at regulated offsets from the reference terminal voltage. In such alternative embodiments, the common mode voltage may be added to the regulated offset of each power rail to make the common mode voltage appear to equal zero.
Once the common mode voltage at voltage electrodes 504 is known, the differential voltage created by the current electrodes 506, 508 may be altered to reduce the common mode voltage and thereby minimize its effect on the measurement of the adjacent formation resistivity. A controller module may set the amplitude and phase of transmitters 805, 806 in response to measurements of the signals from each voltage electrode. With the phase and magnitude of the common mode voltage signal known, and the phase and magnitude of transmitters 805, 806 controllable, the controller adjusts the voltage of the current electrodes such that the desired excitation current is obtained and the common mode signal is minimized.
Transmitters 805, 806 are coupled to the right electrode and left electrode through transformers 808, 812. Right electrode 506 and left electrode 508 inject an excitation current into the formation, creating a voltage difference in the formation that is measured by voltage electrodes 504. During the injection of an excitation current, a voltage between the common ground of transmitters 805, 806 and the formation in front of voltage electrodes 504 is created that constitutes a common mode voltage (VC). The common mode voltage VC is comprised of the voltage contributed from transmitters 805, 806 (V1 and V2, respectively), in proportion to the complex gains from each transmitter (KV1 and KV2, respectively). Since the desire is to make VC equal to zero, then:
V1·KV1=−V2·KV2, (1)
and, where solving the equal for V2 in order to compensate for V1 results in:
V2=−V1·KV1/KV2, (2)
and, where the amplitude A=|V1+V2| is the total voltage drop to create the desired formation excitation current, then voltage V1 can be calculated as:
V1=A/|1−KV1/KV2|. (3)
If the system is linear, equations (2) and (3) provide an accurate solution to generating the desired excitation current magnitude while balancing the common mode voltage to zero. In some instances, a residual common mode voltage may remain after the steps of altering the operating current injected into the formation, in which case an adoptive trimming process may be performed. Further, in certain embodiments the common mode voltage minimization method may be executed concurrently with the common mode measurement process, resulting in a system that dynamically maintains the common mode voltage at or near zero, regardless of changes in surrounding conditions.
Once the common mode voltage is known, the independent control of transmitters 805, 806 is established, and the current electrode voltages are altered to minimize common mode voltage, the imaging of the adjacent borehole wall resistivity may proceed with minimal impact from common mode voltage. Current sensors, comprising transformers 808, 812 and amplifiers 810, 814, are coupled to the right electrode and left electrode to measure simultaneous current flows from the two current electrodes. The measured currents may be corrected to compensate for baseline current flow (i.e., the current flow that would be measured if the tool were isolated in a vacuum or in air). In some embodiments, the voltage of each current electrode (relative to the tool body) is measured and multiplied by a vacuum calibration constant to determine the baseline current from that current electrode. Note that the current electrodes may be at different voltages, causing a different baseline current to be determined for each current electrode. The corrected current values are determined by subtracting each baseline current from the measured current for the respective current electrode.
In addition to current sense amplifiers 810, 814 for the current measurements, measurement circuitry 802 includes detectors 816, 817 for each voltage electrode pair to measure the potential difference generated by the formation excitation currents. The potential difference (δV) may be quantified as the difference between voltage signals VA and VB (i.e., δV=VA−VB). Detectors 816, 817 may take the form of separate sense amplifiers for each voltage electrode, and in alternative embodiments, may take the form of a differential voltage amplifier. In both cases, circuitry 802 may include analog-to-digital converters to enable digital processing of the measured potential differences. These potential differences are associated with a position on the borehole wall and processed to estimate formation resistivity at that position.
Equivalent circuit 804 includes components 818-826 that approximate a theoretical current path between the current electrodes. Capacitor 818 represents a capacitive coupling between the left electrode and the borehole wall. Resistors 820, 822, and 824 represent resistive portions of the borehole wall, and capacitor 826 represents a capacitive coupling between the borehole wall and the right electrode. Capacitors 828 and 830 represent capacitive couplings between the voltage electrodes and the measured portion of the borehole wall. Indirect coupling is present as represented by capacitors 832 and 834. The current labeled ICF flows through resistor 822, and it is the current of interest for determining formation resistivity. Given the measured electrode currents the voltage electrode currents, it is possible to estimate the current of interest, ICF, and hence the resistivity of the adjacent borehole wall formation.
A processor may be provided as part of measurement circuitry 802 to calculate resistivity values. Alternatively, current and voltage measurements may be communicated to surface computing facilities to calculate the resistivity values. The resistivity estimation can be expressed as a function:
R=f(δV,ILE,IRE) (4)
where ILE is the current present at the left current electrode, and IRE is the current present at the right current electrode. The function can take a number of forms depending on experimentally measured sensor pad characteristics. In some embodiments, the resistivity estimation is the measured voltage difference divided by a weighted sum of the measured corrected electrode currents, which have been corrected through the compensation of shield leakage currents:
R=kδV/(c0IMAXc1IMIN), (5)
where k is a calibration constant based on the sensor pad geometry, IMAX is the greater of the corrected electrode currents, IMIN is the lesser of the corrected electrode currents, and c0 and c1 are weight factors that sum to unity. In one embodiment, the weight factors equal ½, while in another embodiment, c1=⅔. The weight factors may be determined in a manner that minimizes the mean square error in various calibration curves. In still other embodiments, the resistivity estimation is a weighted sum of resistivities determined for the separately measured currents:
R=c0RMIN+c1RMAX=c0(kδV/IMAX)+c1(kδV/IMIN), (6)
where, again, k is a calibration constant based on sensor pad geometry, IMAX is the greater of the corrected electrode currents, IMIN is the lesser of the corrected electrode currents, and c0 and c1 are weight factors that sum to unity.
Referring now to
Referring now to
In block 904, the tool is placed in logging mode. For LWD, this operation may (or may not) involve deploying a de-centralizer that forces sensors in the tool body against the borehole wall. Alternatively, the LWD resistivity imaging tool may have one or more sensor pads that are deployed against the borehole wall. For wireline logging, multiple sensor pads are deployed against the borehole wall.
Blocks 906-922 represent operations that occur during the logging process. Though shown and described in a sequential fashion, the various operations may occur concurrently, and moreover, they may simultaneously occur for multiple voltage electrode pairs and multiple sensor pads.
In block 906, the tool measures the potential difference between the formation and the differential voltage amplifier reference ground, referred to as the common mode voltage signal. In block 908, a check of the common mode voltage measurement is performed to determine if the common mode voltage signal is within a limit acceptable to gathering accurate differential voltage measurements from the formation. If the common mode voltage signal is not within acceptable limits, in block 910 the magnitude of excitation current amplitude and/or phase alteration that is needed to minimize the common mode voltage signal is determined. The excitation current transmitters are then set to deliver new current amplitude and/or phase to minimize the common mode voltage signal in block 912. Block 906-912 may be repeated until the common mode voltage is detected within limits acceptable for formation resistivity imaging.
Once the common mode voltage is determined to be within an acceptable limit, in block 914 the tool measures the currents through the two current electrodes, and further measures the voltage difference between the various voltage electrode pairs in this step. In block 916, the tool determines a compensated resistivity measurement for each voltage electrode pair in accordance with one of equations (4), (5), or (6). In block 918, the tool, or more likely, the surface logging facility coupled to the tool, associates the compensated resistivity measurements with a tool position and orientation measurement, thereby enabling a determination of borehole wall image pixel values.
In block 920, the tool moves along the borehole, and in block 922, a check is performed to determine whether logging operations should continue (e.g., whether the logging tool has reached the end of the region of interest). For continued logging operations, blocks 906-922 are repeated. Once logging operations are complete, the surface logging facility maps the resistivity measurements into borehole wall image pixels and displays a resistivity image of the borehole wall in block 924.
A variety of voltage electrode geometries are possible and may be used. A greater number of voltage electrodes may provide higher resolution at the expense of increased processing costs. In such arrangements, it is contemplated that the common mode voltage to be minimized will be the average of voltage signals from all of the voltage electrodes at which measurements are being taken. The operating voltages and currents may vary widely while remaining suitable for the logging operations described herein. It has been found that source current frequencies above about 5 kHz, and perhaps as high as 100 kHz or more, are desirable as they reduce the mud layer impedances and increase the voltage differences measurable between the voltage electrodes. In some tool embodiments, the source current frequency may be switchable between low frequency (e.g., 10 kHz) and high frequency (e.g., 80 kHz) for measurements in formations of differing resistivity. Higher frequencies may be preferred for formations having a generally lower resistivity, and vice versa.
While illustrative embodiments of this invention have been shown and described, modifications thereof can be made by one skilled in the art without departing from the spirit or teaching of this invention. The embodiments described herein are illustrative and are not limiting. Many variations and modifications of the system and apparatus are possible and are within the scope of the invention. For example, though the disclosure and claims use the term “resistivity”, it is widely recognized that conductivity (the inverse of resistivity) has a one-to-one correspondence with resistivity and, consequently, often serves as a functional equivalent to resistivity. Accordingly, the scope of protection is not limited to the embodiments described herein, but is only limited by the claims which follow, the scope of which shall include all equivalents of the subject matter of the claims.
The present application is a continuation of U.S. patent application Ser. No. 11/422,135, filed Jun. 5, 2006, now U.S. Pat. No. 7,696,756, which in turn claims the benefit of the following provisional applications: U.S. Pat. App. No. 60/734,917, filed Nov. 9, 2005, and entitled “OBMI Tool with Common Mode Voltage Compensation”; U.S. Pat. App. No. 60/733,761, filed Nov. 4, 2005, and entitled “Oil Based Imaging Tool that Measures Voltage Phase and Amplitude”; U.S. Pat. App. No. 60/734,846, filed Nov. 9, 2005, and entitled “Standoff Compensation for Imaging in Oil-Based Muds”; U.S. Pat. App. No. 60/735,107, filed Nov. 9, 2005, and entitled “OBMI Tool with Guarded Electrode Current Measurement”; U.S. Pat. App. No. 60/736,105, filed Nov. 10, 2005, and entitled “Displaced Electrode Amplifier”. Each of the foregoing applications is hereby incorporated by reference in its entirety.
Number | Name | Date | Kind |
---|---|---|---|
2810546 | Eaton et al. | Oct 1957 | A |
3086195 | Halliday | Apr 1963 | A |
3305771 | Arps | Feb 1967 | A |
3462678 | Eaton | Aug 1969 | A |
3470457 | Howlett | Sep 1969 | A |
3588804 | Fort | Jun 1971 | A |
3716830 | Garcia | Feb 1973 | A |
3747059 | Garcia | Jul 1973 | A |
3790930 | Lamel et al. | Feb 1974 | A |
3813656 | Fowler | May 1974 | A |
3973181 | Calvert | Aug 1976 | A |
4012952 | Dory | Mar 1977 | A |
4072923 | Siems et al. | Feb 1978 | A |
4241611 | Specht et al. | Dec 1980 | A |
4282588 | Chanson et al. | Aug 1981 | A |
4283779 | Lamel | Aug 1981 | A |
4302826 | Kent et al. | Nov 1981 | A |
4314365 | Petersen et al. | Feb 1982 | A |
4361808 | Kern et al. | Nov 1982 | A |
4468623 | Gianzero et al. | Aug 1984 | A |
4532615 | Ballinger | Jul 1985 | A |
4567759 | Ekstrom et al. | Feb 1986 | A |
4590593 | Rodney | May 1986 | A |
4677367 | Goodman | Jun 1987 | A |
4692707 | Locke et al. | Sep 1987 | A |
4718011 | Patterson | Jan 1988 | A |
4931737 | Hishiki | Jun 1990 | A |
5044462 | Maki | Sep 1991 | A |
5144126 | Perry et al. | Sep 1992 | A |
5160925 | Dailey et al. | Nov 1992 | A |
5216242 | Perry et al. | Jun 1993 | A |
5235285 | Clark et al. | Aug 1993 | A |
5251708 | Perry et al. | Oct 1993 | A |
5278550 | Rhein-Knudsen et al. | Jan 1994 | A |
5331318 | Montgomery | Jul 1994 | A |
5339037 | Bonner et al. | Aug 1994 | A |
5359180 | Park et al. | Oct 1994 | A |
5396175 | Seeman | Mar 1995 | A |
5467320 | Maki | Nov 1995 | A |
5570024 | Vail et al. | Oct 1996 | A |
5596534 | Manning | Jan 1997 | A |
5691712 | Meek et al. | Nov 1997 | A |
5861771 | Matsuda et al. | Jan 1999 | A |
5969638 | Chin | Oct 1999 | A |
5992223 | Sabins et al. | Nov 1999 | A |
6006832 | Tubel et al. | Dec 1999 | A |
6023168 | Minerbo | Feb 2000 | A |
6088294 | Leggett et al. | Jul 2000 | A |
6173793 | Thompson et al. | Jan 2001 | B1 |
6191588 | Chen | Feb 2001 | B1 |
6222927 | Feng et al. | Apr 2001 | B1 |
6252518 | Laborde | Jun 2001 | B1 |
6268726 | Prammer et al. | Jul 2001 | B1 |
6320820 | Gardner et al. | Nov 2001 | B1 |
6332109 | Sheard et al. | Dec 2001 | B1 |
6348796 | Evans et al. | Feb 2002 | B2 |
6362619 | Prammer et al. | Mar 2002 | B2 |
6370082 | Gardner et al. | Apr 2002 | B1 |
6373254 | Dion et al. | Apr 2002 | B1 |
6396276 | Van Steenwyk et al. | May 2002 | B1 |
6518756 | Morys et al. | Feb 2003 | B1 |
6564883 | Fredericks et al. | May 2003 | B2 |
6583621 | Prammer et al. | Jun 2003 | B2 |
6583729 | Gardner et al. | Jun 2003 | B1 |
6600321 | Evans | Jul 2003 | B2 |
6603314 | Kostelnicek et al. | Aug 2003 | B1 |
6626251 | Sullivan et al. | Sep 2003 | B1 |
6636406 | Anthony | Oct 2003 | B1 |
6688396 | Floerke et al. | Feb 2004 | B2 |
6714014 | Evans et al. | Mar 2004 | B2 |
6717501 | Hall et al. | Apr 2004 | B2 |
6809521 | Tabarovsky et al. | Oct 2004 | B2 |
6815930 | Goodman | Nov 2004 | B2 |
6825659 | Prammer et al. | Nov 2004 | B2 |
6837332 | Rodney | Jan 2005 | B1 |
6850068 | Chemali et al. | Feb 2005 | B2 |
6891377 | Cheung et al. | May 2005 | B2 |
6975112 | Morys et al. | Dec 2005 | B2 |
7109719 | Fabris et al. | Sep 2006 | B2 |
7119544 | Hayman et al. | Oct 2006 | B2 |
7139218 | Hall et al. | Nov 2006 | B2 |
7145472 | Lilly et al. | Dec 2006 | B2 |
7154412 | Dodge et al. | Dec 2006 | B2 |
7158446 | Gardner et al. | Jan 2007 | B2 |
7207396 | Hall et al. | Apr 2007 | B2 |
7242194 | Hayman et al. | Jul 2007 | B2 |
7463027 | Prammer et al. | Dec 2008 | B2 |
7579841 | San Martin et al. | Aug 2009 | B2 |
7696756 | Morys et al. | Apr 2010 | B2 |
7733086 | Prammer et al. | Jun 2010 | B2 |
7888941 | San Martin et al. | Feb 2011 | B2 |
8030937 | Hu et al. | Oct 2011 | B2 |
20020043369 | Vinegar et al. | Apr 2002 | A1 |
20020153897 | Evans et al. | Oct 2002 | A1 |
20020180613 | Shi et al. | Dec 2002 | A1 |
20030155925 | Tabarovsky et al. | Aug 2003 | A1 |
20030173968 | Cheung et al. | Sep 2003 | A1 |
20030222651 | Tabanou | Dec 2003 | A1 |
20040124837 | Prammer et al. | Jul 2004 | A1 |
20040156264 | Gardner et al. | Aug 2004 | A1 |
20040206170 | Chen et al. | Oct 2004 | A1 |
20040245991 | Hayman et al. | Dec 2004 | A1 |
20050024232 | Gardner et al. | Feb 2005 | A1 |
20050067190 | Tabanou et al. | Mar 2005 | A1 |
20050133262 | Chen et al. | Jun 2005 | A1 |
20050179437 | Hayman et al. | Aug 2005 | A1 |
20070046291 | Itskovich | Mar 2007 | A1 |
20070103161 | San Martin et al. | May 2007 | A1 |
20090309591 | Goodman et al. | Dec 2009 | A1 |
20100148787 | Morys et al. | Jun 2010 | A1 |
20100231225 | Morys et al. | Sep 2010 | A1 |
Number | Date | Country |
---|---|---|
2006262325 | Jan 2007 | AU |
2006311719 | May 2007 | AU |
105801 | Apr 1984 | EP |
1035299 | Sep 2000 | EP |
2289340 | Nov 1995 | GB |
2391070 | Jan 2004 | GB |
2401185 | Mar 2004 | GB |
2406650 | Apr 2005 | GB |
WO 2005059285 | Jun 2005 | WO |
Number | Date | Country | |
---|---|---|---|
20100231225 A1 | Sep 2010 | US |
Number | Date | Country | |
---|---|---|---|
60734917 | Nov 2005 | US | |
60733761 | Nov 2005 | US | |
60734846 | Nov 2005 | US | |
60735107 | Nov 2005 | US | |
60736105 | Nov 2005 | US |
Number | Date | Country | |
---|---|---|---|
Parent | 11422135 | Jun 2006 | US |
Child | 12758276 | US |