Method for Determining Formation Characteristics With Enhanced Statistical Precision Without Degrading the Vertical Resolution or With Enhanced Vertical Resolution

FIG. 1 is a schematic diagram of a dual-detector tool useful in practicing the methods of the present invention;

FIG. 2 is a schematic diagram of the circuit used to convert the neutron population measurements into porosity values;

FIG. 2A is a schematic diagram of the preferred circuit used to convert the neutron population measurements into porosity values;

FIG. 3 is a schematic diagram of the circuit used to convert gamma radiation measurements into density values;

FIG. 3A is a schematic diagram of the preferred circuit used to convert gamma radiation measurements into density values; and

FIGS. 4-7 are graphs representative of various density readings versus depth, and illustrate a method of the present invention.

Although the invention will be described in connection with the preferred embodiment, it will be understood that it is not intended to limit the invention to that embodiment. On the contrary, it is intended to cover all alternatives, modifications, and equivalents as may be included within the spirit and scope of the invention as defined by the appended claims.

In FIG. 1, a representative dual-detector logging tool is illustrated. Logging tool 200, is preferably a compensated neutron logging tool, or dual-detector neutron tool, when the method of the present invention is utilized to determine a porosity index of a subsurface geological formation 58 traversed by a borehole 54. A fluid-tight pressure resistant housing 50 is suspended by an armored cable 52 in a borehole 54. Cable 52 comprises insulated conductors that electrically connect the equipment within the housing 50 with surface processing circuitry 56 at the earth surface. A winch (not shown) is located at the surface and is used to lower and raise the housing 50 of logging tool 200 in the borehole 54 to traverse subsurface geological formations 58.

The borehole 54 may be dry or may be filled with drilling mud 60, as shown. To reduce the influence of the mud 60, a decentralizing mechanism, for example, a resiliently activated arm 62, may be pivotally attached to the housing 50 and urges its opposite side against the borehole wall to prevent the mud 60 from intervening between housing 50 and formation 58.

A neutron source, or signal source 64, having a yield of typically 4.times.10.sup.7 n/sec, is placed in the lower most end of the housing 50 adjacent to the side that abuts the formation 58. The source, or signal source, 64 may be any conventional neutron source utilized in logging tools 200, such as a "chemical" neutron source, for example, a mixture of plutonium and beryllium or americium and beryllium. Alternatively, neutron source 64 may comprise a neutron generator of the ion accelerator type. Because these sources 64 are isotropic, and emit neutrons with equal probability in all directions, a copper neutron shield 66 may be placed around most of the source 64, except, of course, the side adjacent to the borehole wall. Such a shield thus scatters the largest possible number of neutrons toward the adjacent portion of the formation 58 and thereby enhances the statistical accuracy of the measurements.

A signal, or neutrons, are transmitted, or emitted, from the neutron source, or signal source, 64 and diffuse through the formation 58. The neutrons are then registered by a short-spaced neutron detector, 68, and a long-spaced neutron detector 70 which are mounted within the housing above and generally in line with, the source 64. Typically, the near and far detectors, 68, 70 or signal sensors, each comprise a hollow cylindrical cathode filled with a neutron sensitive gas. An anode wire (not shown) in the center of the cylinder creates a voltage gradient through the gas-filled cylinder, that enables ionized nuclear particles, produced as a consequence of neutron absorption within the gas nuclei to establish charged pulses in the detector electrodes. The long-spaced, or far, detector, or signal sensor 70 has a much larger volume than the short-spaced, or near, detector, or signal sensor, 68, in order to be more sensitive to neutrons. This arrangement of detectors having different sensitivities is provided to compensate for the exponential decrease in neutron population with an increased distance separation from the signal source 64.

It should be noted that the use of the terms "near-detector", "short-spaced" detector, or signal sensor "spaced the least distance from the signal source" are used to describe a detector conventionally used in a logging tool, such as logging tool 200, wherein the spacing of the detector, or signal sensor 68, from the signal source 64 is an optimum compromise between the ability of the detector to measure the desired characteristic of the formation 58, while providing the best vertical resolution of the desired signal from the signal sensor. In other words, if the detector is spaced too close to the source 64, the desired measurement cannot be made. Further, the foregoing terms are not intended to encompass non-functional or non-operative detectors.

Pulses, or sensor signals, from the detectors 68 and 70 are passed to a downhole signal processor circuit 72 for transmission to the surface processing circuitry 56 through two conductors 74 and 76, respectively, in the armored cable 52, after discrimination against noise and amplification in a conventional manner. A borehole size indication may be obtained from caliper 78 combined with the decentralizing arm 62. The caliper 78 may transmit to the surface equipment 56, through a conductor 80 in the cable 52, signals that represent the borehole diameter in a conventional manner.

Were the desired formation characteristic to be determined, for the subsurface geological formation 58, to be the density thereof, logging tool 200 would preferably be a dual-detector gamma radiation bulk density tool, as is conventional in the art. Such a dual-detector gamma radiation bulk density tool 200 would likewise have near and far detectors, or signal sensors, 68, 70 which would cooperate with a gamma radiation source 64, as is known in the art. Similar pulses, or sensor signals, would be generated from the two detectors, or signal sensors, 68, 70 and would be sent to a downhole signal processor circuit 72 for transmission to the surface processing circuitry 56 through two conductors 74 and 76, respectively, in the armored cable 52 after discrimination against noise and amplification, in a conventional manner.

With reference now to FIG. 2, a method for determining the porosity index of a subsurface geological formation 58 traversed by a borehole 54, will be described in connection with the surface processing circuitry 56 and the following equations. The pulses or generated sensor signals from the detectors 68 and 70, as is conventional in the art, are representative of the count rates of each detector 68, 70.

Count rates for each detector 68, 70 in the compensated neutron logging tool 200 have been measured in the laboratory and may be expressed as functions of porosity as follows:

where CR.sub.NEAR and CR.sub.FAR are the average count rates for the near and far detectors 68, 70; g.sub.NEAR (.phi.) is the near detector porosity-response function; and g.sub.FAR (.phi.) is the far detector porosity-response function. Equations (1) and (2) represent the responses of the two detectors 68, 70 for ideal conditions, since laboratory formations are precisely drilled, homogenous, non-bedded, experimental constructions containing a single fluid. In a real borehole 54, the count rates generally do not match those from the laboratory; however, they may be expressed in the forms:

wherein CR.sub.NEAR is the actual near detector count rate, CR.sub.FAR is the actual far detector count rate; .alpha. is a continuous calibration function for enhanced resolution processing, which will be hereinafter described in greater detail; and x.sub.j 's are symbolic of various uncontrolled environmental factors such as mudcake and salinity in the borehole 54. In this context, the functional behavior of the .alpha. functions is expected to be such that their variance, with depth, will usually be less rapid than the variance of porosity.

Normal processing of compensated neutron logging data is based upon the premise that, to a first approximation .alpha..sub.NEAR =.alpha..sub.FAR so that:

The foregoing equations may be converted to a ratio R of near- to far-detector counting rates, or ##EQU1## from which the foregoing ratio R, the porosity, .phi., can be computed by way of a functional relationship:

For sensor signals, or count rates, from the detectors 68, 70 which have been previously resolution matched, as will be hereinafter described in greater detail, equation (5) and (6) can be rewritten to provide the following equations:

where CR.sub.NEAR is the resolution matched count rate from the near detector 68; CR.sub.FAR is the resolution matched count rate from the far detector 70. .phi. is the porosity index from the ratio of resolution matched count rates, CR, and is typically expressed as a fraction. The porosity index from the ratio of resolution matched count rates, .phi., may be obtained by substituting the ratio of the resolution matched count rates, R, into equation 8, so that,

With regard to the foregoing equations, it should be noted that g.sub.NEAR and g.sub.FAR are functions of a particular tool, such as compensated neutron logging tool 200, and these functions may be readily determined under laboratory conditions as is well/known in the art. Equations (9) and (11) thus contain two unknowns, .phi. and .alpha. and may be solved in closed form to determine .phi. and .alpha.. Equation (10) could also be used, but the results would be identical since equation (10) is not independent of the other two equations, equations (9) and (11). Thus, ##EQU2## Once .alpha. has been determined, it can be substituted into equation (5), together with the actual near detector 68 count rate, CR.sub.NEAR to provide the following equation: ##EQU3## Equations (5) or (13) can then be inverted to compute an enhanced resolution neutron porosity index, .phi..sub.ENH, which, when averaged over several levels of the formation 58, is equivalent to the ratio porosity, .phi..sub.R. The enhanced resolution neutron porosity index .phi..sub.ENH, which is typically expressed as a fraction, has been shown to have the vertical resolution and statistical accuracy of the near detector 68.

With reference now to FIG. 2, the method of the present invention for determining a porosity index, having enhanced resolution, will be described in further detail. As previously described, the sensor signal from the near and far detectors, 68, 70, or count rates, CR.sub.NEAR, CR.sub.FAR are transmitted to the surface processing circuitry 56 through two conductors 74, 76 respectively, in the armored cable 52, after discrimination against noise and amplification. The generated sensor signals, or count rates, then have their vertical resolution matched by resolution matching circuits 90, 90'. Circuits 90, 90' typically include an averaging filter, which degrades the apparent vertical resolution of the signal from the near detector 68 to be the same as the vertical resolution of the far detector 70. In general, both signals, or count rates are applied to different, separate filters in circuits, 90, 90', so the outputs of each circuit 90, 90' both have the same vertical resolution. Dependent upon the output signal of the detectors, or the signal sensors, 68, 70, it would be possible to use only one averaging filter in circuit 90; however, it is preferred to use two averaging filters, one disposed within each circuit 90, 90'. Thus, if the vertical response characteristics of a detector 68, 70 are known, it is well/known in the art how to utilize two averaging filters to match the vertical resolution of the output signals. It should be noted that the output signal of circuit 90 is expressed by equation (9) and the output of circuit 90' is expressed by equation (10), previously described. The output of circuits 90, 90', or the resolution matched count rates, CR, are fed into circuit 91, or the ratio to .phi., circuit. Circuit 91 determines an environmentally compensated porosity index .phi. from the ratio of the resolution matched count rates R. The environmentally compensated porosity index .phi., determined by circuit 91 corresponds to equation (11), wherein ##EQU4## and CR.sub.NEAR and CR.sub.FAR are the two resolution matched sensor signals from circuits 90, 90'.

The output of the ratio to .phi. circuit 91, or the environmentally compensated porosity index .phi., and the output of circuit 90, or the resolution matched sensor signal, or count rate CR.sub.NEAR from the near detector 68 are then passed into the continuous calibration factor computation circuit 92. Circuit 92 thus determines the continuous calibration factor .alpha. in accordance with equation (12). The output of continuous calibration factor computation circuit 92 is then passed into a count rate calibration circuit 93 which also has the actual, unaveraged count rate CR.sub.NEAR passed therein and which count rate, CR.sub.NEAR has not been resolution matched. The count rate calibration circuit 93 thus calibrates the unmatched sensor signal or count rate CR.sub.NEAR, from the near detector 68 in accordance with equation (13). The output of circuit 93 is then passed to a near count rate to .phi. circuit 94 which operates in accordance with the following equation (15) to determine an enhanced resolution neutron porosity index .phi..sub.ENH, wherein the vertical resolution of the porosity index .phi..sub.ENH, is enhanced. The equation which governs circuit 94 is: ##EQU5## As is conventional in the art, the output from circuit 94 may be transmitted to a conventional recorder in order to produce, or generate, a graph, or tangible representation, of the enhanced resolution porosity index, .phi..sub.ENH, as a function of borehole depth.

With respect to compensated neutron logging tools, 200, count rates from the far detector 70 are usually more affected by gas in the subsurface geological formation 58, than the near detector 68 count rates because the far detector 70 "reads" more deeply into the formation 58. Simulation and laboratory data have shown that when gas is present in the formation 58, the continuous calibration factor .alpha. will have a value smaller than expected for a normal water filled formation. It has also been determined that other variations in the continuous calibration factor, from those expected from a normal water filled formation, may also indicate logging conditions in the borehole 54, such as logging tool 200 sticking, rugosity, or tool standoff. Further, logging data from older wells can be reevaluated in accordance with the present method, insofar as no new logging measurements are required to obtain the enhanced resolution neutron porosity index. All that is required are the actual, unaveraged count rates from the near and far detector 68, 70, which data is typically stored and has been previously obtained.

With reference now to FIG. 2A, the preferred method of the present invention for determining a porosity index, having enhanced statistical precision, without degrading vertical resolution, will be described in further detail. As previously described, the sensor signal from the near and far detectors, 68, 70, or count rates, CR.sub.near, CR.sub.Far are transmitted to the surface processing circuitry 56 through two conductors 74, 76 respectively, in the armored cable 52, after discrimination against noise and amplification. The generated sensor signals, or count rates, then have their vertical resolution matched by resolution matching circuits 90, 90'. Circuits 90, 90' typically include an averaging filter, which degrades the apparent vertical resolution of the signal from the near detector 68 to be the same as the vertical resolution of the far detector 70. This further improves the statistical precision of the near detector signal. In general, both signals, or count rates are applied to different, separate filters in circuits, 90, 90', so the outputs of each circuit 90, 90' both have the same vertical resolution. Dependent upon the output signal of the detectors, or the signal sensors, 68, 70, it would be possible to use only one filter circuit 90; however, it is preferred to use two filters, one disposed within each circuit 90 and 90'. Thus, if the vertical response characteristics of a detector 68, 70 are known, it is well-known in the art how to utilize two filters to match the vertical resolution of the output signals. It should be noted that the output signal of circuit 90 is expressed by equation (9) and the output of circuit 90' is expressed by equation (10), previously described. The output of circuits 90, 90', or the resolution matched count rates, CR, are fed into circuit 91, or the ratio to .phi., circuit. Circuit 91 determines an environmentally compensated porosity index .phi. from the ratio of the resolution matched count rates R. The environmentally compensated porosity index .phi., determined by circuit 91 corresponds to equation (11), wherein ##EQU6## and CR.sub.Near and CR.sub.Far are the two resolution matched sensor signals from circuits 90, 90'.

The output of the ratio to .phi. circuit 91, or the environmentally compensated porosity index .phi., is passed through circuit 110 to apply additional filtering to improve statistical precision at the expense of vertical resolution. The output of circuit 90 is passed through a filtering circuit 111 which matches the vertical resolution to the output of 110. The signal from 74 is also passed through a "light" filter circuit 112 which may, but does not have to be identical to circuit 90. The output of circuits 110 and 111 are then passed into the continuous calibration factor computation circuit 92. Circuit 92 thus determines the continuous calibration factor .alpha. in accordance with equation (12). The output of continuous calibration factor computation circuit 92 is then passed into a count rate calibration circuit 93 which also has the "light" filtered count rate CR.sub.Near from circuit 112 passed therein. The count rate calibration circuit 93 thus calibrates the "light" filtered sensor signal or count rate CR.sub.Near, from the near detector 68 in accordance with equation (13). The output of circuit 93 is then passed to a near count rate to .phi. circuit 94 which operates in accordance with the following equation (15) to determine an enhanced statistical precision neutron porosity index .phi..sub.ENH, wherein the statistical precision of the porosity index .phi..sub.ENH, is enhanced without degrading the vertical resolution. The equation which governs circuit 94 is: ##EQU7## As is conventional in the art, the output from circuit 94 may be transmitted to a conventional recorder in order to produce, or generate, a graph, or tangible representation, of the enhanced statistical precision porosity index .phi..sub.ENH, as a function of borehole depth.

It should also be noted that the particular arrangement given of circuits 90, 90', 110, 111, and 112 is only one of the possibilities which will yield the desired result. Other possibilities can include single circuits combining several of these circuits and the order can be rearranged; for example, filter circuit 110 can be placed between circuits 90 and 91 instead of after circuit 91, in which case circuit 111 will not be required. In this case, a single circuit can replace the function of 90' and 110 combined, and another single circuit can replace 90 and 110 combined.

With respect to compensated neutron logging tool, 200, count rates from the far detector 70 are usually more affected by gas in the subsurface geological formation 58 than the near detector 68 count rates because the far detector 70 "reads" more deeply into the formation 58. Simulation and laboratory data have shown that when gas is present in the formation 58, continuous calibration factor .alpha. will have a value different than expected for a normal water filled formation. It has also been determined that other variations in the continuous calibration factor, from those expected from a normal water filled formation, may also indicate logging conditions in the borehole 54, such as logging tool 200 sticking, rugosity, or tool standoff. Further, logging data from older wells can be reevaluated in accordance with the present method, insofar as no new logging measurements are required to obtain the enhanced resolution neutron porosity index. All that is required are the actual, unaveraged count rates from the near and far detector 68, 70, which data is typically stored and has been previously obtained.

With reference now to FIGS. 3-7, a method of the present invention for determining the density, .rho., of a subsurface geological formation 58 traversed by a borehole 54 will be described. As previously set forth, the structure of a suitable dual-detector gamma radiation bulk density tool is structurally the same as that of tool 200 (FIG. 1), previously described, insofar as a dual-detector gamma radiation bulk density tool would also utilize a signal source, or gamma radiation source, and two signal sensors, or detectors. The detectors would be spaced different distances from the gamma radiation source, and each signal sensor would generate a sensor signal which is transmitted via an armored cable to the surface processing circuitry 56 previously described. Thus, as seen in FIG. 3, the sensor signal of the near detector and far detector 68, 70 are carried by conductors 74, 76 as previously described in connection with FIG. 2. In accordance with the invention, the desired enhanced density of the formation 58 .rho..sub.ENH may be expressed by the following equation:

wherein .rho..sub.comp is the environmentally compensated density of the formation 58 when utilizing the signal outputs of both the near and far detectors; .rho..sub.near is the density computed from the actual, unaveraged signal, or count rate, of the near detector 68; and .rho..sub.near is the density computed from the resolution matched signal, or count rate, from the near detector.

This enhanced density, .rho..sub.ENH, may also be expressed by the following equation:

wherein .alpha. is a continuous calibration factor and is equal to the environmentally compensated density, .rho..sub.comp, minus the resolution matched density of the near detector, .rho..sub.near.

With reference now to FIG. 3, appropriate circuitry will be described to accomplish the method of the present invention for determining the density of a subsurface geological formation 58, and the circuitry will be also described graphically with reference to FIGS. 4-7. The sensor signals from the near and far detectors 68, 70, carried by conductors 74, 76 first have their vertical resolution matched as by passing the signals through an appropriate filter associated with resolution matching circuits 100, 100'. In this regard, whereas it was preferred to utilize two filters, with the resolution matching circuits 90, 90' of FIG. 2, it is possible to only utilize one filter when determining the density of a formation. Thus, it is preferred that the filter used to match the vertical resolution of the sensor signals from the near and far detectors 68, 70, be associated with the resolution matching circuit 100 for the sensor signal from the near detector 68 which is carried by conductor 74. Thus, resolution-matching circuit 100' is optional.

The resolution matched sensor signals from resolution matching circuits 100, 100' are then transmitted to a compensated characteristic computation circuit 101, wherein the environmentally compensated density .rho..sub.comp is determined in a conventional manner from the resolution matched sensor signals from circuits 100, 100'. With respect to FIG. 4, the curve 101' represents the environmentally compensated density from the near and far detectors, which is the output of circuit 101. Curve 150 is representative of the true value of the density of a particular formation located at a particular depth and represents an ideal response from an "ideal" tool.

Still with reference to FIGS. 3-7, the density from the unmatched sensor signal from the near detector 68 is then determined by a near detector density computation circuit 151 which is graphically illustrated in FIGS. 5 and 6 by curve 151'. The density from the resolution matched sensor signal from the near detector from resolution matching circuit 100 is then determined by a near detector, resolution matched density computation circuit 152. The resolution matched density .rho..sub.near is illustrated by curve 152' in FIG. 6. The continuous calibration factor .alpha. may then be determined by calibration computation circuit 92' by determining the numerical difference between the environmentally compensated density, .rho..sub.comp, from the circuit 101 and the resolution-matched density, .rho..sub.near, from circuit 152. In accordance with equation (17), the continuous calibration factor may then be combined in enhanced resolution circuit 94' with the actual density of the near detector from circuit 151 to provide the enhanced density, .rho..sub.ENH, wherein the vertical resolution of the density determination is enhanced. The enhanced density is illustrated by a curve 94" in FIG. 7 wherein it may be compared with the environmentally compensated density from the near and far detector, .rho..sub.comp, and it can be seen that the resolution, or clarity, of the enhanced density value is better graphically illustrated.

With reference now to FIGS. 3A-7, a method of the present invention for determining the density, .rho., of a preferred subsurface geological formation 58 traversed by a borehole 54 will be described. As previously set forth, the structure of a suitable dual-detector gamma radiation bulk density tool is structurally the same as that of tool 200 (FIG. 1), previously described, insofar as a dual-detector gamma radiation bulk density tool would also utilize a signal source, or gamma radiation source, and two signal sensors, or detectors. The detectors would be spaced different distances from the gamma radiation source, and each signal sensor would generate a sensor signal which is transmitted via an armored cable to the surface processing circuitry 56 previously described. Thus, as seen in FIG. 3, the sensor signal of the near detector and far detector 68, 70 are carried by conductors 74, 76 as previously described in connection with FIG. 2. In accordance with the invention, the desired enhanced density of the formation 58 .rho..sub.ENH may be expressed by the following equation:

wherein .rho..sub.comp is the environmentally compensated density of the formation 58 when utilizing the signal outputs of both the near and far detectors; .rho..sub.near is the density computed from the actual, lightly filtered signal, or count rate, of the near detector 68; and .rho..sub.near is the density computed from the heavily filtered signal, or count rate, from the near detector.

This enhanced density, .rho..sub.ENH, may also be expressed by the following equation:

wherein .alpha. is a continuous calibration factor and is equal to the filtered environmentally compensated density, .rho..sub.comp, minus the filtered density of the near detector, .rho..sub.near.

With reference now to FIG. 3A, appropriate circuitry will be described to accomplish the method of the present invention for determining the density of a subsurface geological formation 58, and the circuitry will be also described graphically with reference to FIGS. 4-7. The sensor signals from the near and far detectors 68, 70, carried by conductors 74, 76 first have their vertical resolution matched as by passing the signals through an appropriate filter associated with resolution matching circuits 100, 100'. In this regard, whereas it was preferred to utilize two filters, with the resolution matching circuits 90, 90' of FIG. 2, it is possible to only utilize one filter when determining the density of a formation. Thus, it is preferred that the filter used to match the vertical resolution of the sensor signals from the near and far detectors 68, 70, be associated with the resolution matching circuit 100 for the sensor signal from the near detector 68 which is carried by conductor 74. Thus, resolution-matching circuit 100' is optional.

The resolution matched sensor signals from resolution matching circuits 100, 100' are then transmitted to a compensated characteristic computation circuit 101, wherein the environmentally compensated density .rho..sub.comp is determined in a conventional manner from the resolution matched sensor signals from circuits 100, 100'. This result is then passed through another filter, circuit 102, to improve statistical precision. With respect to FIG. 4, the curve 101' represents the filtered environmentally compensated density from the near and far detectors, which is the output of circuit 102. Curve 150 is representative of the true value of the density of a particular formation located at a particular depth and represents an ideal response from an "ideal" tool.

Still with reference to FIGS. 3A-7 the raw sensor signal from near detector 68 is passed through "light" filter circuit 154, which can be, but does not have to be, identical to circuit 100. The density from the near detector 68 is then determined by passing the output of filter 154 to a near detector density computation circuit 151 which is graphically illustrated in FIGS. 5 and 6 by curve 151'. The resolution matched near detector signal from 100 is passed through an additional filter circuit 153, which matches the vertical resolution to that of the output of 102. The density from the filtered sensor signal from the near detector from filtering circuit 153 is then determined by a near detector, density computation circuit 152. The filtered density .rho..sub.near from circuit 152 is illustrated by curve 152' in FIG. 6. The continuous calibration factor .alpha. may then be determined by calibration computation circuit 92' by determining the numerical difference between the filtered environmentally compensated density, .rho..sub.comp, from the circuit 102 and the filtered density, .rho..sub.near, from circuit 152. In accordance with equation (17), the continuous calibration factor may then be combined in enhanced statistical precision circuit 94' with the actual density of the near detector from circuit 151 to provide the enhanced density, .rho..sub.ENH, wherein the statistical precision of the density determination is enhanced without degrading the vertical resolution. The enhanced density is illustrated by a curve 94" in FIG. 7 wherein it may be compared with the environmentally compensated density from the near and far detector, .rho..sub.comp, and it can be seen that the resolution, or clarity, of the enhanced density value is better graphically illustrated.

As with the porosity index determinations previously described in connection with FIG. 2, the output of circuit 94' may be transmitted to a suitable recorder to produce or generate, a graph, or tangible representation, of the enhanced density.

As with the compensated neutron logging tool, the use of the term "near detector" is used to describe a detector conventionally used in various logging tools, and is not meant to encompass non-operational detectors, or sensors, or detectors which are not disposed with respect to the signal source to achieve the optimum signal from the signal from the signal sensor.

As with the porosity index determination previously described in connection with FIG. 2, the various filters can be arranged and combined in a number of equivalent ways.

Although the embodiments previously described utilize only a near and far detector 68, 70, it should be noted that additional far detectors 70', 70", could be utilized with near detector 68.

As with the method for determining a porosity index for a formation, logging data from older wells can be reevaluated in accordance with the present method, insofar as no new logging measurements are required to obtain the enhanced resolution density of a formation. All that is required are the original output signals from the near and far detectors, which data is typically stored for older wells.

It is to be understood that the invention is not limited to the exact details of construction, operation, exact materials or embodiment shown and described as obvious modifications and equivalents will be apparent to one skilled in the art; for example, the method for determining a characteristic of a subsurface geological formation could also be applied to pairs of resistivity measurements obtained from conventional dual-induction tools, such tools being supplied with, or without, a dipmeter. Accordingly, the invention is therefore to be limited only by the scope of the appended claims.