1. Field of the Invention
This invention generally relates to exploration for hydrocarbons involving electrical investigations of a borehole penetrating an earth formation. More specifically, this invention relates to highly localized borehole investigations employing the introduction and measuring of individual survey currents injected into the wall of a borehole by capacitive coupling of electrodes on a tool moved along the borehole with the earth formation.
2. Background of the Art
Electrical earth borehole logging is well known and various devices and various techniques have been described for this purpose. Broadly speaking, there are two categories of devices used in electrical logging devices. In the first category, a measure electrode (current source or sink) are used in conjunction with a diffuse return electrode (such as the tool body). A measure current flows in a circuit that connects a current source to the measure electrode, through the earth formation to the return electrode and back to the current source in the tool. In inductive measuring tools, an antenna within the measuring instrument induces a current flow within the earth formation. The magnitude of the induced current is detected using either the same antenna or a separate receiver antenna. The present invention belongs to the first category.
There are several modes of operation: in one, the current at the measuring electrode is maintained constant and a voltage is measured while in the second mode, the voltage of the electrode is fixed and the current flowing from the electrode is measured. Ideally, it is desirable that if the current is varied to maintain constant the voltage measured at a monitor electrode, the current is inversely proportional to the resistivity of the earth formation being investigated. Conversely, it is desirable that if this current is maintained constant, the voltage measured at a monitor electrode is proportional to the resistivity of the earth formation being investigated. Ohm's law teaches that if both current and voltage vary, the resistivity of the earth formation is proportional to the ratio of the voltage to the current.
Birdwell (U.S. Pat. No. 3,365,658) teaches the use of a focused electrode for determination of the resistivity of subsurface formations. A survey current is emitted from a central survey electrode into adjacent earth formations. This survey current is focused into a relatively narrow beam of current outwardly from the borehole by use of a focusing current emitted from nearby focusing electrodes located adjacent the survey electrode and on either side thereof. Ajam et al (U.S. Pat. No. 4,122,387) discloses an apparatus wherein simultaneous logs may be made at different lateral distances through a formation from a borehole by guard electrode systems located on a sonde which is lowered into the borehole by a logging cable. A single oscillator controls the frequency of two formation currents flowing through the formation at the desired different lateral depths from the borehole. The armor of the logging cable acts as the current return for one of the guard electrode systems, and a cable electrode in a cable electrode assembly immediately above the logging sonde acts as the current return for the second guard electrode system. Two embodiments are also disclosed for measuring reference voltages between electrodes in the cable electrode assembly and the guard electrode systems.
Techniques for investigating the earth formation with arrays of measuring electrodes have been proposed. See, for example, the U.S. Pat. No. 2,930,969 to Baker, Canadian Patent No. 685727 to Mann et al., U.S. Pat. No. 4,468,623 to Gianzero, and U.S. Pat. No. 5,502,686 to Dory et al. The Baker patent proposed a plurality of electrodes, each of which was formed of buttons which are electrically joined by flexible wires with buttons and wires embedded in the surface of a collapsible tube. The Mann patent proposes an array of small electrode buttons either mounted on a tool or a pad and each of which introduces in sequence a separately measurable survey current for an electrical investigation of the earth formation. The electrode buttons are placed in a horizontal plane with circumferential spacings between electrodes and a device for sequentially exciting and measuring a survey current from the electrodes is described.
The Gianzero patent discloses tool mounted pads, each with a plurality of small measure electrodes from which individually measurable survey currents are injected toward the wall of the borehole. The measure electrodes are arranged in an array in which the measure electrodes are so placed at intervals along at least a circumferential direction (about the borehole axis) as to inject survey currents into the borehole wall segments which overlap with each other to a predetermined extent as the tool is moved along the borehole. The measure electrodes are made small to enable a detailed electrical investigation over a circumferentially contiguous segment of the borehole so as to obtain indications of the stratigraphy of the formation near the borehole wall as well as fractures and their orientations. In one technique, a spatially closed loop array of measure electrodes is provided around a central electrode with the array used to detect the spatial pattern of electrical energy injected by the central electrode. In another embodiment, a linear array of measure electrodes is provided to inject a flow of current into the formation over a circumferentially effectively contiguous segment of the borehole. Discrete portions of the flow of current are separably measurable so as to obtain a plurality of survey signals representative of the current density from the array and from which a detailed electrical picture of a circumferentially continuous segment of the borehole wall can be derived as the tool is moved along the borehole. In another form of an array of measure electrodes, they are arranged in a closed loop, such as a circle, to enable direct measurements of orientations of resistivity of anomalies. U.S. Pat. No. 6,714,014 to Evans et al, having the same assignee as the present invention and the contents of which are incorporated herein by reference, teaches the use of capacitive coupling with both oil-based mud and water-based mud.
The Dory patent discloses the use of an acoustic sensor in combination with pad mounted electrodes, the use of the acoustic sensors making it possible to fill in the gaps in the image obtained by using pad mounted electrodes due to the fact that in large diameter boreholes, the pads will necessarily not provide a complete coverage of the borehole.
The prior art devices, being contact devices, are sensitive to the effects of borehole rugosity: the currents flowing from the electrodes depend upon good contact between the electrode and the borehole wall. If the borehole wall is irregular, the contact and the current from the electrodes is irregular, resulting in inaccurate imaging of the borehole. A second drawback is the relatively shallow depth of investigation caused by the use of measure electrodes at the same potential as the pad and the resulting divergence of the measure currents. Another drawback is that in formations with low resistivity (such as the Gulf of Mexico), the measured signal is dominated by the effects of the internal impedance of the measurement system and the effects of the borehole fluid. It would be desirable to have an apparatus and method of determination of formation resistivity that is relatively insensitive to borehole rugosity and can be used with either water-based mud or with oil-based mud. The present invention satisfies this need.
One embodiment is an apparatus for determining a resistivity parameter of an earth formation. The apparatus includes a logging tool configured to be conveyed in a borehole in the earth formation, a pair of current electrodes on the logging tool configured to convey a current into the formation, at least one pair of voltage electrodes disposed between the pair of current electrodes, and at least one voltage measuring device connected to the at least one pair of voltage electrodes. The apparatus further includes a processor configured to determine the resistivity parameter of the earth formation using a first voltage measured at a first input impedance of the at least one voltage measuring device and a second voltage measured at a second input impedance of the at least one voltage measuring device. The processor is further configured to record the determined resistivity parameter on a suitable medium. The current electrodes may be disposed on a nonconducting pad extendable from a body of the logging tool. The at least one pair of voltage electrodes may include a plurality of pairs of voltage electrodes disposed azimuthally. There determined resistivity parameter may be related to a vertical resistivity of the formation. The processor may be further configured to produce an image of the resistivity parameter. The apparatus may further include a conveyance device configured to convey the logging tool into the borehole; the conveyance device may be a wireline or a drilling tubular. The conveyance device may be a drilling tubular and a processor may be further configured to control a direction of drilling.
Another embodiment is a method of determining a resistivity parameter of an earth formation. The method includes conveying a logging tool into a borehole in the earth formation, using a pair of current electrodes on the logging tool for conveying a current into the formation, connecting at least one voltage measuring device to at least one pair of voltage electrodes disposed between the pair of current electrodes, measuring a first voltage between the at least one pair of voltage electrodes at a first value of an input impedance of the voltage measuring device, measuring a second voltage between the at least one pair of voltage electrodes at a second value of an input impedance of the voltage measuring device, determining the resistivity parameter of the earth formation using the first voltage and the second voltage, and regarding the determined resistivity parameter on a suitable medium. The method may further include disposing a pair of current electrodes on a nonconducting pad extendable from a body of the logging tool. The determined resistivity parameter may be related to a vertical resistivity of the formation. An image of the resistivity parameter may be produced. The logging tool may be conveyed into the borehole using a wireline or a drilling tubular. The logging tool may be conveyed into the borehole on a drilling tubular and a direction of drilling may be controlled using the image.
Another embodiment is a computer-readable medium for use with an apparatus for determining a resistivity parameter of an earth formation. The apparatus includes a logging tool configured to be conveyed in a borehole in the earth formation. The apparatus also includes a pair of current electrodes on the logging tool configured to convey a current into the formation, at least one pair of voltage electrodes positioned between the pair of current electrodes, and at least one voltage measuring device connected to the pair of voltage electrodes. The medium includes instructions which enable a processor to determine the resistivity parameter of the earth formation using a first voltage measured at a first input impedance of the voltage measuring device and a second voltage measured at the second input impedance of the voltage measuring device, and record the determined resistivity parameter on a suitable medium. The medium may include a ROM, an EPROM, an EAROM, a flash memory, and/or an optical disk.
The present invention is best understood with reference to the accompanying figures in which like numerals refer to like elements and in which:
Also shown in
A schematic circuit diagram is presented in
For the complex current İg providing the voltage drop in the voltmeter we have:
and for the measured complex voltage drop Δ{dot over (V)} we get:
We assume that the input impedance of the voltage measuring device in combination with impedance of the gap is much larger than the impedance of the formation. In that case we can rewrite eqn. (3) as:
where E represents the equivalent voltage source due to the voltage drop in the formation shown in the simplified equivalent circuit of
Eqn.(4) suggests that one way to measure the voltage drop in the formation with a minimum parasitic effect from the gap is to increase the input impedance of the voltmeter. Instead, in the present invention, the voltmeter is provided with a switch that enables measurements with two different internal impedances Zi(1) and Zi(2). Then for each voltage measurement, we have:
The last two formulas represent a system of two equation with respect to two unknowns E and Zgr. By solving the system for the voltage source E we have:
Eqn. (7) represents the voltage drop in the formation which is not affected by either the finite (not infinite) value of the input impedance of the voltmeter or by the electrical properties of the gap filled with the mud having some finite conductivity.
To illustrate the effectiveness of the method, we have conducted mathematical modeling for the formation model approximating electrical conditions in the Gulf of Mexico. The imager pad is as depicted in
The simulations we carried out with operational frequency set to 40 kHz. The electrode size is 4 mm with 10 mm between an electrode centers. The tool is placed in an 8.5 inch well filled with 105 Ω-m resistive mud with dielectric constant ∈m=3. Resistivity of the homogeneous formation is 1 Ω-m. The pad standoff (abscissa in
Also, in the same figure we represent the input impedance that is derived from the measurements obtained with two pairs of input impedances according the method discussed above. The curve 601 corresponds to measurements made with voltmeter input impedances of 1 MΩ and 10 MΩ, while the curve 603 corresponds to measurements made with voltmeter input impedances of 10 MΩ and 100 MΩ. As can be seen, the method of the present invention gives the results that are basically insensitive to the tool standoff.
The resistivity parameter and resistivity image obtained by the apparatus and method discussed above may be recorded on a suitable medium. They may further be used for interpreting formation dips using known methods. Such determinations of dip are useful and mapping the structure and stratigraphy of subsurface earth formations—an important step in evaluating hydrocarbon potential of an earth formation. Those skilled in the art would recognize that for producing a resistivity image using a wireline conveyed device, a plurality of pairs of voltage-measuring electrodes would be desirable. On the other hand, for producing a resistivity image using a bottomhole assembly conveyed on a drilling tubular, a single pair of voltage-measuring electrodes is sufficient.
Those versed in the art would recognize that the method described above could also be performed using an apparatus in which the current electrodes and the voltage measuring electrodes are azimuthally separated on the pad. In such a case, a horizontal formation resistivity would be measured in an anisotropic medium.
The invention has further been described by reference to logging tools that are intended to be conveyed on a wireline. However, the method of the present invention may also be used with measurement-while-drilling (MWD) tools, or logging while drilling (LWD) tools, either of which may be conveyed on a drillstring or on coiled tubing. An example of a resistivity imaging tool for MWD use is discloses in U.S. Pat. No. 6,600,321 to Evans, having the same assignee as the present invention and the contents of which are incorporated herein by reference. Measurements made while drilling may be used in reservoir navigation. See, for example, U.S. patent application Ser. No. 11/489,875 of Wang et al., having the same assignee as the present application and the contents of which are incorporated herein by reference.
Implicit in the processing of the data is the use of a computer program implemented on a suitable machine readable medium that enables the processor to perform the control and processing. In the context of the present disclosure, the processor is configured to selectively alter the input impedance of the voltmeter and process the measurements to provide an estimate of the formation resistivity. The term processor as used in this application is intended to include such devices as field programmable gate arrays (FPGAs). The machine readable medium may include ROMs, EPROMs, EAROMs, Flash Memories and Optical disks. As noted above, the processing may be done downhole or at the surface.
While the foregoing disclosure is directed to the preferred embodiments of the invention, various modifications will be apparent to those skilled in the art. It is intended that all variations within the scope and spirit of the appended claims be embraced by the foregoing disclosure.
Number | Name | Date | Kind |
---|---|---|---|
2930969 | Baker | Mar 1960 | A |
3365658 | Birdwell | Jan 1968 | A |
4122387 | Ajam et al. | Oct 1978 | A |
4468623 | Gianzero et al. | Aug 1984 | A |
4686477 | Givens et al. | Aug 1987 | A |
5502686 | Dory et al. | Mar 1996 | A |
6191588 | Chen | Feb 2001 | B1 |
6600321 | Evans | Jul 2003 | B2 |
6714014 | Evans et al. | Mar 2004 | B2 |
6919724 | Cheung et al. | Jul 2005 | B2 |
20030155925 | Tabarovsky et al. | Aug 2003 | A1 |
20070035304 | Itskovich et al. | Feb 2007 | A1 |
20080288171 | Itskovich et al. | Nov 2008 | A1 |
Number | Date | Country |
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685727 | May 1960 | CA |
Number | Date | Country | |
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20080303526 A1 | Dec 2008 | US |