Abstract: An apparatus and method is disclosed for induction logging of electrical properties of earth formations that operates at low frequencies while remaining resistant to skin effect and maintaining mutual balancing. The apparatus includes a plurality of transmitter coils that are at a plurality of distances from a measure point located at an end of the apparatus, and a receiver coil array coupled to receive induced voltages resulting from currents induced in the earth formations by one or more transmitters of the plurality of transmitter coils, wherein the common measure point is located within the receiver coil array, and wherein one or more of the plurality of distances from the measure point are determined according to a function of one or more frequencies associated with one or more transmitters of the plurality of transmitters. According to an embodiment, the function includes determining the distance that is inversely proportional to a square root of the frequency associated with the one or transmitter.

Abstract: High Definition Induction Logging (HDIL) tools provide reliable information about the vertical and radial variations of resistivity structure in isotropic media. Focusing techniques provide quantitative information about resistivity variation and qualitative information about invasion at the well site. Coaxial alignment of transmitter-receiver arrays with the borehole prevents obtaining information about anisotropy in vertical wells, thereby greatly limiting the application of array induction tools in the characterization of reservoirs with finely laminated sand/shale sequences. A multi-component induction tool, 3DEX™, enables the detection of anisotropy in laminated reservoirs. Multi-component data are invert to give an estimate of vertical and horizontal resistivity in a vertical borehole. 3DEX™ may encounter difficulties in looking through an invaded zone and detecting the anisotropy in the formations.

Abstract: Methods are provided to quantitatively determine the separate amounts of oil and gas in a geological formation adjacent to a cased well using measurements of formation resistivity. The steps include obtaining resistivity measurements from within a cased well of a given formation, obtaining the porosity, obtaining the resistivity of formation water present, computing the combined amounts of oil and gas present using the Archie Relations, determining the relative amounts of oil and gas present, and then quantitatively determining the separate amounts of oil and gas present in the formation.

Abstract: Measurements made by a multicomponent logging tool in a borehole are inverted to obtain horizontal and vertical resistivities and formation dip and azimuth angles of a formation traversed by the borehole. The inversion is performed using a generalized Marquardt-Levenberg method. In this generalized Marquardt-Levenberg method, a data objective function is defined that is related to a difference between the model output and the measured data. The iterative procedure involves reducing a global objective function that is the sum of the data objective function and a model objective function related to changes in the model in successive iterations. In an alternate embodiment of the invention, the formation azimuth angle is excluded from the iterative process by using derived relations between the multicomponent measurements.

Abstract: Skin-effect corrections are applied to measurements made by a transverse induction logging tool to give corrected measurements indicative of vertical conductivities of a formation. Data from a conventional induction logging tool are inverted or focused to give an isotropic model of formation resistivity. A forward modeling is used to derive from the isotropic model measurements that would be expected with a transverse induction logging tool. Skin-effect corrections are applied to these expected measurements. The formation anisotropy is determined from the skin-effect corrected transverse induction measurements, the skin-effect corrected expected measurements and from the isotropic model conductivities.

Abstract: This invention is directed to a downhole method and apparatus for simultaneously determining the horizontal resistivity, vertical resistivity, and relative dip angle for anisotropic earth formations. The present invention accomplishes this objective by using an antenna configuration in which a transmitter antenna and a receiver antenna are oriented in non-parallel planes such that the vertical resistivity and the relative dip angle are decoupled. Preferably, either the transmitter or the receiver is mounted in a conventional orientation in a first plane that is normal to the tool axis, and the other antenna is mounted in a second plane that is not parallel to the first plane. This invention also relates to a method and apparatus for steering a downhole tool during a drilling operation in order to maintain the borehole within a desired earth formation.

Abstract: The total porosity of said formation, a fractional volume of the shale, and a resistivity of the shale are determined in a laminated reservoir including sands that may have dispersed shales therein. A tensor petrophysical model determines the laminar shale volume and laminar sand conductivity from vertical and horizontal conductivities derived from multi-component induction log data. NMR data are used to obtain measurements of the total clay-bound water in the formation and the clay bound water in shales in the formation.

Abstract: Shoulder corrections are applied to measurements obtained from a multicomponent electromagnetic logging tool. An anisotropic resistivity model is obtained using the shoulder corrected data. The process is iterated until a good match is obtained between the shoulder corrected data and the model output.

Abstract: A method of providing a computed induction log of an induction logging tool run through an interval of a wellbore that extends through a layered formation invaded by wellbore fluid.

Abstract: A method is disclosed for determining a diameter of a wellbore. The method includes inducing an electromagnetic field in the wellbore and a formation surrounding the wellbore from a first location along the wellbore. At a first time, a phase is measured, with respect to the field at the first location, of a signal induced by the electromagnetic field at a second and at a third location axially spaced apart from the first location and from each other. The measuring is repeated at a second time, and a resistivity of the formation, and the wellbore diameter at the first time and at the second time are determined from the measurements of phase made at the first and at the second times. Any ambiguity in the resistivity is resolved by using resistivity determined from the measurements made at the first time.

Abstract: A method of calculating a theoretical sonic log from an ideal sonic log and resistivity data. The method involves calculating the ideal sonic log assuming a shale sediment and using available data from a well or the surrounding region. Resistivity data is used to correct the ideal sonic log for departures from the shale sediment assumption. The calculated theoretical sonic log may then be used to calibrate an experimental log and to replace low confidence segments of the experimental log. The method allows useful information to be derived for wells previously considered uneconomical.

Abstract: A system and method for developing association rules which are personalized for a customer. The method includes partitioning (clustering) a set of records corresponding to transactions of items into discrete segments so that different parts of the data show different kinds of trends. The clustering is used in order to create a segmentation of the data such that these trends are captured in each segment. Consequently, a different set of association rules are relevant for each segment. For a given customer, the segment to which he/she belongs most closely may be readily determined, and the trends in that segment may be used for generating the association rules.

Abstract: A method is disclosed for the determination of horizontal resistivity, vertical resistivity, dip and strike angles of anisotropic earth formations surrounding a wellbore. Electromagnetic couplings among a plural of triad transmitters and triad receivers are measured. Each triad transmitter/receiver consists of coil windings in three mutually orthogonal axes. These measured signals are used to generate initial estimates of the dip angle and strike angle of the formation as well as the anisotropy coefficient and the horizontal resistivity of the formation. An iterative algorithm is then applied using these quantities to finally arrive at more accurate estimates that approach the true values in the formation.

Abstract: A novel method for measuring fracture porosity in coal seams is disclosed. Knowledge of fracture porosity is critical to methane production from coal seams as fractures form the main permeable pathways for gas migration. The disclosed invention can be used to determine likely locations where commercially significant amounts of fracturing have occurred in the coals. These locations pose prime targets for methane exploration, and the disclosed invention comprises a significant new tool in methane exploration. The disclosed invention uses existing geophysical well log data, a screening process and calculations based on the characteristics of the fluid used to drill the hole. Using these data, the volume of invaded coal is determined, as well as the volume of drilling fluid available to create this invasion. The volume fraction of the invading drilling fluid divided by the volume of the invaded rock produces a measure of the fracture porosity of the coal.

Abstract: A method and apparatus for determining the size or diameter of boreholes extending to a wide range of dimensions and/or the resistivity of the surrounding earth formations utilizing a well tool disposed in the borehole. The method involves generating model data representative of the well tool responses to different borehole diameters contrasted with formation and borehole fluid resistivity values, determining the borehole fluid resistivity, transmitting electromagnetic energy into the formation, measuring the energy shed back into the borehole at arbitrary sensor stations on the tool and generating resistivity signal data associated with the measured energy, and matching the signal data and the fluid resistivity against the modeled response data to determine the borehole caliper and/or formation resistivity. The apparatus forms part of a system for calculating a borehole caliper and/or the surrounding formation resistivity.

Abstract: A Neural Net (NN) is trained, validated and used for borehole correction of resistivity logging data. In the training stage, the entire range of possibilities of earth models relevant to borehole compensation is sampled and a suite of tool responses is generated, with and without the borehole and the NN is trained to produce the corresponding borehole-free response. In the validation stage, the input to the NN comprises tool responses that were not used in the training of the NN and validation is based upon comparing the output of the NN to the corresponding borehole-free response. If the agreement is not good, then the NN is retrained with a different sampling of the earth model. The validated NN is then used to correct the borehole measurements. The borehole corrected measurements may be inverted using an additional neural net designed for the purpose.

Abstract: A 2D inversion of true formation resistivity from dual laterolog tool measurements is accomplished using a pre-calculated look-up table. An initial earth model is derived and divided into intervals. A 2D tool response is calculated in each interval using the earth model. Matching is checked between the calculated 2D tool response and the tool measurements. The following steps are iterated until the match is satisfactory. A 1D radial tool response is derived in each interval using the pre-calculated look-up table. Shoulder bed effects are approximated in each interval by subtracting the 1D radial tool response from the 2D tool response. A non-linear least square optimization is applied at boundaries of the intervals and local maximum and minimum values in the intervals to update the earth model.

Abstract: Techniques are provided to transform attenuation and phase measurements taken in conjunction with a drilling operation into independent electrical parameters such as electrical resistivity and dielectric values. The electrical parameters are correlated with background values such that resulting estimates of the electrical parameters are independent of each other. It is shown an attenuation measurement is sensitive to the resistivity in essentially the same volume of an earth formation as the corresponding phase measurement is sensitive to the dielectric constant. Further, the attenuation measurement is shown to be sensitive to the dielectric constant in essentially the same volume that the corresponding phase measurement is sensitive to the resistivity. Techniques are employed to define systems of simultaneous equations that produce more accurate measurements of the resistivity and/or the dielectric constant within the earth formation than are available from currently practiced techniques.

Abstract: A resistivity tool and associated method include measuring the phase shift of an electromagnetic signal at different locations. Preferably, this is accomplished by a resistivity tool having three receivers. The difference of the phase shifts at the different locations indicates with precision the depth in a borehole of a bed boundary. The preferred resistivity tool also yields improved radial resolution.

Abstract: A resistivity measurement technique estimates a first value for a first electrical parameter consistent with an assumption that each property of a measured electrical signal senses the first electrical parameter and a second electrical parameter in substantially the same volume and estimates a second value of the first electrical parameter consistent with the estimated first value and consistent with each property of the measured electrical signal sensing the first electrical parameter and the second electrical parameter in different volumes. Applying this technique, a phase conductivity may be determined from only a phase shift measurement. An attenuation conductivity may then be determined based on an attenuation measurement and the phase conductivity. Since bandwidth is limited in data telemetry to an earth surface while drilling, phase shift measurements can be telemetered without attenuation measurements for accomplishing resistivity measurements.

Abstract: Resistivity data acquired at two different epochs using different types of tools are jointly inverted. For example, a multiple propagation resistivity (MPR) tool is run first, preferably at several frequencies and several transmitter-receiver spacings. At a later epoch, an induction tool may be run, preferably on a wireline. The joint inversion process identifies bed boundaries based on inflection points in the propagation resistivity and induction logging raw data. An initial guess for an uninvaded earth model is generated using the selected bed boundaries and the apparent raw resistivity values. An inversion run using shallow measurements of propagation resistivity logging data is performed to estimate a resistivity structure representative of the near borehole zone resistivity (invaded zone). The bed boundary positions of the layers are also updated as part of the inversion process. Synthetic data for both the shallow and deep measurements are generated to delineate the invasion zones.

Abstract: An induction logging tool is used in an inclined borehole for determining properties of subsurface formations formation away from the borehole. Measurements are made at a plurality of transmitter-receiver (T-R) distances. After correction of the data for skin effects and optionally correcting for eddy currents within the borehole, the shallow measurements (those from short T-R spacing or from high frequency data) are inverted to give a model of the near borehole (invaded zone resistivity and diameter) and the resistivity of the formation outside the invaded zone. Using this model, a prediction is made of the data measured by the mid-level and deep sensors (long T-R spacings). A discrepancy between these predicted values and the actual measurements made by the midlevel and deep sensors is indicative of additional layer boundaries in the proximity of the wellbore.

Abstract: A method and apparatus for evaluating the resistivity of earth formations surrounding a borehole, particularly high-contrast thin-layer formations or at high dip angles. The method involves positioning a pair of transmitters and a pair of receivers within the borehole, the receivers or transmitters adhering to specific spacing limitations, alternately transmitting electromagnetic energy of a particular frequency and receiving voltage data associated with the transmitted energy. Multiple voltage data are acquired and a representation of a resistivity or conductivity profile is created from a formulated difference of the data from a particular depth and/or neighboring depths. The apparatus forms part of a well logging system including a well tool adapted to be moveable through a borehole. The apparatus being coupled to the well tool and adapted with means to input voltage data developed by the receivers disposed on the well tool.

Abstract: An apparatus and method for obtaining facies of geological formations for identifying mineral deposits is disclosed. Logging instruments are moved in a bore hole to produce log measurements at successive levels of the bore hole. The set of measurements at each such level of the bore hole interval is associated with reference sample points within a multidimensional space. The multidimensional scatter of sample points thus obtained is analyzed to determine a set of characteristic modes. The sample points associated with characteristic modes are grouped to identify clusters. A facies is designated for each of the clusters and a graphic representation of the succession of facies as a function of the depth is thus obtained. To identify the clusters, a “neighboring index” of each log measurement point in the data set is calculated. Next, small natural groups of points are formed based on the use of the neighboring index to determine a K-Nearest-Neighbor (KNN) attraction for each point.

Abstract: A Tracking Dip Estimator software including a novel Multi-Sine Tracking Software is adapted to be stored in a computer system memory for instructing a processor to produce a “first output” including a plurality of tracks in response to input borehole image data, and a “second output” including a plurality of “dip data” d in response to the plurality of tracks, the Tracking Dip Estimator software generating the “first output” and “second output” by: (1) pre-processing the input borehole image data with a Detector to output a plurality of image edge elements called “reports”, (2) using the reports as input to a Multi-Sine Tracking software that recursively develops a “first output” including a plurality of tracks, or a plurality of connected sets of track points, lying along sinusoidal dip events in the input borehole image data; the Multi-Sine Tracking software has embedded mathematical models for sinusoidal dip events, (3)

Abstract: A method of focusing the measurements from an array type induction logging tool using an inhomogeneous background rather than a homogeneous background. A modeled inhomogeneous background response can be separated from the measured response and focused directly using focusing target functions. The residue, the difference between the measured response and the background response, can then be focused using conventional linear focusing methods. A final focusing response is obtained by adding the two focusing responses.

Abstract: The present invention is directed to a method and apparatus for determining the dip angle and horizontal and vertical conductivities of a wellbore during drilling operations. If the dip angle is not known, the present invention allows for the use of multifrequency measurements and a model which maps dielectric permitivities to conductivities to calculate the horizontal conductivity, the vertical conductivity, the horizontal dielectric permitivity, the dielectric permitivity, and the dip angle. If the dip angle is known, the present invention allows a multifrequency tool to be utilized alone to calculate the horizontal conductivity, the vertical conductivity, the horizontal dielectric permitivity, and the vertical dielectric permitivity.

Abstract: A method and apparatus for producing a conductivity log, unaffected by shoulder effect and dip, from voltage data developed by a well tool disposed in a borehole. The method involves accessing the voltage data developed by the tool, processing the data, reconstructing two-coil voltage data, and computing differences of the two-coil data, to derive a conductivity profile representative of the formation. The apparatus forms part of a well logging system including a well tool adapted to be moveable through a borehole. The apparatus being coupled to the well tool and adapted with means to access voltage data developed by the receivers disposed on the well tool. The apparatus further adapted with means for boosting the voltage data, means for reconstructing two-coil voltages from the boosted voltage data, means for processing the reconstructed two-coil voltage data, and means for producing a conductivity log from the processed two-coil voltages.

Abstract: A method and apparatus are disclosed for identifying boundaries between thin beds having different resistivities. In one embodiment, the method includes (a) transmitting an oscillatory signal from a first transmitter; (b) determining a first phase difference between signals induced in two receivers by the oscillatory signal from the first transmitter; (c) transmitting an oscillatory signal from a second transmitter; (d) determining a second phase difference between signals induced in the two receivers by the oscillatory signal from the second transmitter; and (e) calculating a interferometric difference between the first and second phase differences. When the transmitters are symmetrically located with respect to the receivers, the interferometric difference exhibits a maximum or minimum value near the boundary location. This low-complexity method provides good boundary detection results when the bed thickness is larger than the transmitter-receiver spacing.

Abstract: A resistivity tool suitable for use in a borehole and configured to obtain a resistivity radial profile at multiple depths of investigation in a geological formation comprises a receiver pair and an array of transmitters. The distance of each transmitter from the receivers corresponds to a particular depth of investigation into the formation. Using as few as two transmitters, the resistivity tool derives resistivity values at any number of depths of investigation, including depths of investigation that do not correspond to transmitter/receiver spacings on the tool. A measurement processor combines signals received from the existing transmitters using linear interpolation, geometric interpolation, and/or other techniques to derive the resistivity measurements.

Abstract: An azimuthally tunable resistivity measurement tool is provided. In one embodiment, the tool comprises a set of three skewed receiver antennas and a transmitter antenna. The three skewed receiver antennas are oriented in equally-spaced azimuthal directions to give them preferential sensitivity in those directions. The transmitter antenna transmits a radio-frequency signal that propagates through the formation surrounding a borehole. The signals from the three receiver antennas can be measured and combined to synthesize the signal that would be received by a virtual antenna oriented in any desired direction. Accordingly, virtual receivers oriented perpendicular to the tool axis and with variable azimuthal orientations can be synthesized. The orientation of such a virtual receiver that has a maximized receive signal amplitude can be used to identify the direction of a nearby bed boundary, and the maximized amplitude can be used to estimate the distance to the boundary.

Abstract: Methods for locating an oil-water interface in a petroleum reservoir include taking resistivity and pressure measurements over time and interpreting the measurements. The apparatus of the invention includes sensors preferably arranged as distributed arrays. According to a first method, resistivity and pressure measurements are acquired simultaneously during a fall-off test. Resistivity measurements are used to estimate the radius of the water flood front around the injector well based on known local characteristics. The flood front radius and fall-off pressure measurements are used to estimate the mobility ratio. According to a second method, resistivity and pressure measurements are acquired at a variety of times. Prior knowledge about reservoir parameters is quantified in a probability density function (pdf). Applying Bayes' Theorem, prior pdfs are combined with measurement results to obtain posterior pdfs which quantify the accuracy of additional information.

Abstract: This invention is directed to a downhole method and apparatus for simultaneously determining the horizontal resistivity, vertical resistivity, and relative dip angle for anisotropic earth formations. The present invention accomplishes this objective by using an antenna configuration in which a transmitter antenna and a receiver antenna are oriented in non-parallel planes such that the vertical resistivity and the relative dip angle are decoupled. Preferably, either the transmitter or the receiver is mounted in a conventional orientation in a first plane that is normal to the tool axis, and the other antenna is mounted in a second plane that is not parallel to the first plane. Although this invention is primarily intended for MWD or LWD applications, this invention is also applicable to wireline and possible other applications.

Abstract: A method is provided for determining an electric conductivity of an earth formation formed of different earth layers, which earth formation is penetrated by a wellbore containing a wellbore fluid, is provided. The method includes the steps of: lowering an induction logging tool into the wellbore to a location surrounded by a selected one of the earth layers, the tool having a magnetic field transmitter effective to induce magnetic fields of different frequencies in the earth formation, and a magnetic field receiver effective to receive response magnetic fields and to provide a signal representative of each response magnetic field, at least one of the transmitter and the receiver having a plurality of magnetic dipole moments in mutually orthogonal directions.

Abstract: The present invention involves a method for modeling the response of an electromagnetic tool to a subsurface formation including: (i) formulating a set of frequency-domain Maxwell equations, including a Maxwell operator, using a three-dimensional representation of the subsurface formation; (ii) generating a Krylov subspace from inverse powers of the Maxwell operator by computing actions of an inverse of the Maxwell operator; and (iii) repeating (ii) as needed to achieve convergence of a frequency-domain solution that characterizes the modeled response of the electromagnetic tool to the subsurface formation. The invention further involves a related apparatus for modeling the response of an electromagnetic tool to a subsurface formation and a related article of manufacture having a computer program that causes a computer to perform the inventive method.

Abstract: A system and method for controlling the transmitted signal for use in a well logging tool, using an iterative method (preferably the method of steepest descent) such that the transmitted signal more closely resembles a desired waveform.

Abstract: A method of determining electric resistivity of an earth formation (1) surrounding a wellbore filled with a wellbore fluid, is provided, which method comprises: operating a resistivity logging tool (2) in the wellbore so as to provide a plurality of resistivity logs (FLG.sub.1, . . . , n) (3) of the earth formation (1) for different radial intervals (1, . . . , n) relative to the wellbore; for each radial interval (k), selecting a modelled resistivity profile (Rmod.sub.k) (4); inputting the modelled resistivity profiles (Rmod.sub.1, . . . , n) (4) to a logging tool simulator (6) so as to provide for each radial interval (k) a modelled resistivity log (MLG.sub.k) (7) having a depth of investigation corresponding to the radial interval (k); for each radial interval (k) updating the modelled resistivity profile (Rmod.sub.k) (7) in dependence of an observed deviation of the resistivity log (FLG.sub.k) (3) from the modelled resistivity log (MLG.sub.

Abstract: An apparatus and a method for determining the conductivity and dielectric constants of an anisotropic formation uses a redundant set of electromagnetic measurements in combination with anisotropic formation models that relate the anisotropic conductivity and dielectric constant of the formation to measurements of a propagating electromagnetic wave in the formation. A conjugate gradient scheme or a Newton-Raphson algorithm is used to obtain solutions to the nonlinear equations of propagation. The solutions to the equations are usually non-unique and are also susceptible to measurement errors. Use of redundant measurements makes it possible to resolve the non-uniqueness. The redundancy is obtained by using multiple frequency and/or multiple spacing tools. The use of redundant measurements also makes it possible to reduce the error in the solution of the wave propagation equation.

Abstract: Electrical resistance tomography (ERT) produced from measurements taken inside a steel cased borehole. A tomographic inversion of electrical resistance measurements made within a steel casing was then made for the purpose of imaging the electrical resistivity distribution in the formation remotely from the borehole. The ERT method involves combining electrical resistance measurements made inside a steel casing of a borehole to determine the electrical resistivity in the formation adjacent to the borehole; and the inversion of electrical resistance measurements made from a borehole not cased with an electrically conducting casing to determine the electrical resistivity distribution remotely from a borehole. It has been demonstrated that by using these combined techniques, highly accurate current injection and voltage measurements, made at appropriate points within the casing, can be tomographically inverted to yield useful information outside the borehole casing.

Abstract: An integrated interpretation methodology is described that evaluates carbonate reservoirs. The methodology consists of first classifying the rock facies. A geometrical model specific to the classification is then used to predict the response of the rock to a variety of stimuli. A reconstruction of the geometrical model is made by comparing the measurements with the model predictions. The model is then used to predict the resistivity and the hydraulic transport properties of the rock, thereby enabling computation of both the reserves and their production behavior.

Abstract: A wave propagation measurement-while-drilling system is used to measure selected formation and borehole parameters of interest and simultaneously provide indications of the quality of the selected measurements. One or more transmitter-receiver pairs are employed with the transmitter components operating at one or more frequencies. A model of the response characteristics of the borehole instrument is also employed. By using a redundant subset of the measurements, the parameters of interest are determined and an expected value of the remaining measurements is made. A comparison of the actual and expected values of the remaining measurements serves as a quality control check on the equipment and on the accuracy of the model.

Abstract: A method for generating an improved estimate of horizontal conductivity, dip angle, azimuth and anisotropy parameter of an earth formation penetrated by a wellbore from dual-frequency transverse electromagnetic induction measurements, comprising generating an initial estimate of the horizontal conductivity, dip angle, azimuth and anisotropy parameter from the dual-frequency transverse induction measurements made at each one of a plurality of base frequencies. The initial estimates from each of the plurality of base frequencies are input into a primary trained neural network, and the improved estimate is calculated by the trained neural network. The network is trained by generating models of earth formations each having a known value of horizontal conductivity, anisotropy parameter, dip angle and azimuth. Voltages which would be measured by the transverse electromagnetic induction instrument in response to each model are synthesized.

Abstract: A wellbore imaging tool is provided which is sensitive to magnetic permeability changes in the wellbore wall. In one embodiment, the measuring array comprises a transmitter coil, an array of receiver coils, and a signal processor. The transmitter coil generates an oscillating magnetic field in the wellbore wall, and each of the receiver coils generates a voltage indicative of a direct inductive coupling strength between the receiver coil and the transmitter coil. Variations in the magnetic permeability of the wellbore wall will cause the direct inductive coupling strength between the transmitter and receiver coils to vary accordingly. The signal processor is coupled to each of the receiver coils to determine the direct inductive coupling strength and configured to convert it into a pixel value for each of the receiver coils. The pixel value may represent the magnetic permeability of a wall region proximate to the receiver coil, or it may represent the direct inductive coupling strength.

Abstract: A method for estimating axial positions of formation layer boundaries from transverse electromagnetic induction signals. A first derivative is calculated with respect to depth of the induction signals. A second derivative of the signals is calculated. The second derivative is muted. Layer boundaries are selected at axial positions where the muted second derivative is non zero, and the first derivative changes sign. The selected boundaries are thickness filtered to eliminate boundaries which have the same axial spacing as the spacing between an induction transmitter and receiver used to measure the induction signals, and to eliminate boundaries having a spacing less than an axial resolution of the induction signals. In a preferred embodiment, the process is repeated using transverse induction measurements made at another alternating current frequency. Layer boundaries selected in both frequencies are determined to be the layer boundaries.

Abstract: A method for determining an initial estimate of the horizontal conductivity and the vertical conductivity of an anisotropic earth formation. Electromagnetic induction signals induced by induction transmitters oriented along three mutually orthogonal axes are measured. One of the mutually orthogonal axes is substantially parallel to a logging instrument axis. The electromagnetic induction signals are measured using first receivers each having a magnetic moment parallel to one of the orthogonal axes and using second receivers each having a magnetic moment perpendicular to a one of the orthogonal axes which is also perpendicular to the instrument axis. A relative angle of rotation of the perpendicular one of the orthogonal axes is calculated from the receiver signals measured perpendicular to the instrument axis. An intermediate measurement tensor is calculated by rotating magnitudes of the receiver signals through a negative of the angle of rotation.

Abstract: A method for estimating the apparent conductivity of a formation comprises the steps of: providing layer conductivity data over a range of points in the formation outside the borehole along a portion of a borehole, calculating an apparent conductivity at a first series of points in the range, calculating a Doll-generated conductivity at each of the first points, calculating a skin effect by calculating a difference value between the Doll-generated conductivity and the apparent conductivity at each of the first points, calculating a Doll-generated conductivity at a second series of points that are different from the first points, calculating an interpolated difference value for each of the second points, and adding to interpolated difference value to the corresponding Doll-generated conductivity at each of the second points.

Abstract: A method to determine the earth's magnetic field vector along a sub-surface wellpath having unknown and possibly changing azimuth, in the presence of a magnetic disturbance caused by a magnetic source external to the wellpath includes estimating the three components of the earth field along the three axes of a magnetic sensor package by a polynomial function of measured depth along the wellpath. Magnetic survey accuracy is thereby improved. Upon removal of the earth's magnetic field from the measurements, the resultant magnetic field of the disturbance is determined and can be used to determine the position and orientation of the source of the disturbance.

Abstract: A method of adjusting induction receiver signals for skin effect in an induction logging instrument including a plurality of spaced apart receivers and a transmitter generating alternating magnetic fields at a plurality of frequencies. The method includes the steps of extrapolating magnitudes of the receiver signals at the plurality of frequencies, detected in response to alternating magnetic fields induced in media surrounding the instrument, to a response which would obtain at zero frequency. A model of conductivity distribution of the media surrounding the instrument is generated by inversion processing the extrapolated magnitudes. Magnitudes of the receiver responses at the plurality of frequencies are synthesized based on the model of conductivity distribution.

Abstract: A method of determining selected parameters of an earth formation surrounding a borehole by first, obtaining at least one induction logging measurement of the selected parameters in a first predetermined volume of the formation surrounding the borehole having known first radial and vertical dimensions, then obtaining at least one galvanic logging measurement of the identical selected parameters in a second predetermined volume of the formation surrounding the borehole having known second radial and vertical dimensions that overlap the first radial and vertical dimensions of the first predetermined volume, whereby the overlapping volumes form a representative common volume of the formation, and then combining the induction and galvanic logging measurements using an inversion technique to obtain a measurement of the selected parameters of the earth formation surrounding the borehole in the representative common volume of the formation.

Abstract: A method of determining a plurality of formation models each of which will simulate the response of a well logging instrument. A measured response of the well logging instrument is used to generate an initial model using inversion processing. A response of the instrument to the initial model is synthesized. A singular value decomposition is performed on the synthetic response to generate eigenparameters of the initial model. Eigenparameters having the least significant overall contribution to the synthetic response are sequentially substituted with linear equations representing prior constraints on the initial earth model. A linear system, including the remaining ones of the eigenparameters and the linear equations is solved so that the eigenparameters are preserved exactly and the linear equations satisfy a least squares fit. An additional synthetic instrument response is generated for each solution to the linear system which falls below a predetermined error threshold.