DETERMINATION OF CASING THICKNESS USING A GAIN STABILIZED GAMMA RAY SPECTROSCOPY TECHNIQUE

Abstract: A method of well logging utilizing gamma radiation serves to measure the thickness of the casing in a well borehole. The photoelectric absorption by the iron in the casing of gamma rays scattered from the formation varies as a function of the energy of the gamma radiation. The detected gamma spectrum below about 350 KeV from the surrounding earth formation is preferably divided into two energy ranges or windows, and a ratio between the two indicates the thickness of any intervening steel casing material. With suitable scale factors in calibration of the system, casing thickness can be determined from the ratio of the summed gamma count rate in the range of about 35 to about 120 KeV divided by the count rate in a higher energy range from about 180-325 KeV. A radiation source (22) in the sonde (10) emits gamma photons into the formation adja­ cent the borehole and these are scattered back toward a counting device.

Description: DETERMINATION OF CASING THICKNESS USING A GAIN STABILIZED GAMMA RAY SPECTROSCOPY TECHNIQUE The present invention is concerned generally with detecting gamma radiation scattered from earth formations penetrated by a well borehole having a casing placed therein. This invention is concerned with measuring casing thickness, or equivalently, weight per unit length, of the casing. More specifically, the invention concerns methods and apparatus for detecting scattered gamma radiation from a gamma ray source in the logging tool by measuring the count rate in specified energy ranges. Gamma rays in the detected energy ranges are defined dependent on the photoelectric absorption of iron across the defined spectral ranges. The detected scattered gamma rays are summed and a ratio is obtained to indicate casing thickness, which can vary due to corrosion or wear. The technique also locates collars, perforations and other variations in casing thickness or weight. In recent years, gamma ray spectroscopy of earth formations adjacent to a well borehole has been enhanced by highly stable scintillation detectors. They are normally mounted in a sonde which is lowered in a well borehole. They produce a pulse height spectrum proportional to the gamma ray energy spectrum of the gamma rays impinging on the scintillation crystal. Gamma radiation is emitted from a radiation source in the logging tool and is focussed or collimated into the formation where it is scattered from the formation and borehole materials to impinge on a scintillation crystal carried a spaced distance longitudinally along the tool in the well borehole. Photoelectric absorption, Compton scattering, and pair production attenuate the radiation between its source generation in the tool and its detection in the crystal. The gamma ray source is mounted in the equipment and is appropriately shielded to prevent direct communication of gamma rays to the longitudinally located gamma ray detection apparatus. One such source is Co60, and another is Cs137. These gamma ray sources emit gamma radiation having specific or characteristic energy levels which bombard the formation beyond the cased well. The radiation from the source impinges on the formation and is scattered outside the casing and back through the casing into the wellbore for detection by the detector apparatus to be described. The gamma photons from the source in the tool primarily undergo photoelectric absorption and Compton scattering because the cos137 and Co60 source energies are below that required for significant pair production. The crust of the earth is a layered medium composed, in large part, of silicon, hydrogen, carbon, calcium, chlorine, oxygen and other relatively low atomic weight elements. The same elements are principally present in cement, mud, and borehole water or oil between the formation and detector. The iron in casing has a higher atomic number than virtually all of these other elements, and also attenuates the gamma radiation prior to its being detected. However, significant photoelectric absorption in iron takes place at a higher energy level than in these other elements, and hence one can effectively isolate the attenuation due to iron from that due to other elements by using an energy dependent measurement of this photoelectric attenuation. This data, if properly normalized, can provide a measurement of the amount of iron (and hence casing thickness) which is present in a well. Virtually all producing wells are cased. At the time that a well is cased, the casing program may be readily available whereby nominal casing thickness can be determined. However, many wells, due to changes in formation pressures as a function of depth, require several strings of different size casing to be incorporated into the drilling program. In drilling out below a depth to which casing has been set, it is possible that the casing may wear due to contact with the drill string used to drill out the deeper section in the well. This wear results in a decrease in casing thickness, which in turn weakens the casing. In many other instances, casing of a known thickness was installed in a well. However, after years of exposure to external deterioration caused by formation fluids, and internal deterioration due to produced fluids, corrosion may very well reduce the thickness, and hence strength, of the casing. In order to avoid casing collapse or blowouts, it is'necessary to know the degree of wear or corrosion which has taken place, and to take remedial action if sufficient reduction in casing thickness has taken place. For these reasons, it is extremely valuable to be able to determine the thickness of the casing. Photoelectric absorption is a gamma ray attenuation process whereby the gamma ray is completely removed in the interaction. The cross section, or probability, for photoelectric absorption (r) is strongly affected by the energy E of the gamma ray and the atomic number, Z, of the element with which it interacts. This relationship is approximated by: (1) z4.6 E3 Since iron has a higher Z (=26) than most earth formation elements, below a given energy level (about 150 KeV), iron dominates this absorption process. Above about 200 KeV, photoelectric absorption in iron, as well as other principal downhole elements is not significant. Hence if iron is present in the formation or borehole in the vicinity of the logging tool detector, then the count rate in the detector in the tool at energies below about 175 KeV is decreased relative to the count rate in a higher energy range in which range photoelectric absorption is not significant. In addition, since iron has a higher Z than other elements in cement and borehole fluids, this relative attenuation increase in the lower energy range is virtually independent of changes in borehole geometry and composition. Changes in these variables will similarly influence count rates both below and above 175 KeV, as will changes in the density and lithology type of the formations. Since casing thickness changes produce a pronounced relative count rate change (more than the other variations described above) in the very low energy region of the detected gamma spectrum, it is possible to isolate the effects of photoelectric absorption in iron. A ratio comparison of the summed counts in two energy ranges, one range which is sensitive to photoelectric absorption in iron, and a higher range in which photoelectric absorption in iron is negligible, varies with changes in iron thickness, but does not vary appreciably with changes in other downhole parameters. This ratio, when compensated for the geometric differences between casings of different sizes, can be used to directly indicate the thickness of the casing in the borehole. The apparatus of the present disclosure is enhanced by incorporating a seed stabilizer source such as Am241, Cs137 or Co60 to assure gain stability. These sources are positioned near the detector and emit known strength and energy photons to provide a known level for use in maintaining system gain. Data is meaningful only if the detector circuitry and amplifier circuitry associated with it is stable. This requires that a photon impinging on the detector be consistently amplified. Circuit drift is a problem, particularly compounded as the tool is exposed to ever increasing temperatures in deeper wells. When the logging tool is lowered into a very deep wellr there is significant risk of temperature initiated drift. There is time based drift which also arises in the operation of such circuits. Furthermore, certain of the components are subject to ageing. Logging tools are exposed to a rugged environment and the physical shock normally encountered on lowering and retrieving a logging tool from a borehole also increases the possiblity of drift. Clearly, the risk of signal drift creates a problem in obtaining accurate data. Of course, it will be recognized that other gain stabilization methods could also be used to maintain constant gain. One example is a peak detector circuit to assure a calibration pulse height. This disclosure sets -fo-rth a method and apparatus for determining casing thickness. Through the use of a scintillation detector and pulse height analyzer connected to the detector, gamma ray photons arriving at the detectors in two energy bands are detected and summed, and a ratio between the two is obtained. The ratio indicates thickness of intervening casing. For purposes of the present disclosure the gamma ray spectrum is divided into two energy bands, typically one being a low energy range of about 35 to about 120 KeV. The other is about 180-325 KeV, although the upper limit of 325 KeV can be higher or lower if desired. The two ranges are on opposite sides of an inflection point occurring at about 175 KeV which is the threshold energy for significant photoelectric absorption in iron. As the" ratio varies, it indicates a variation in thickness, enabling a calibrated determination of casing thickness dependent on suitable scale and geometric factors employed. The procedure also detects casing collars and perforations in the casing. This disclosure further sets forth a method and apparatus which determines casing thickness through the utilization and measurement of gamma ray photons arriving at a logging tool in the two energy bands as described above primarily as a result of scattering of high energy gamma photons emitted from a radiation source carried in the logging tool. It is preferable that the source and detector be firmly decentralized and collimated directly out through the point at which the tool comes in contact with the casing. If this is not done, then some of the scattered gammas reaching the detector will never pass through the casing and hence will not have a scattered spectrum which reflects photoelectric absorption in passing through the casing. These gammas will tend to distort the casing thickness photoelectric absorption spectrum below 175 KeV. The disclosure further describes a detector circuit for incorporation in the circuitry of the tool for the purpose of altering the gain of the circuitry to assure that the calibration of the system is fixed. So that the manner in which the above recited features, advantages and objects of the invention, as well as others, which will become apparent, are attained and can be understood in detail, a more particular description of the invention, briefly summarized above, may be had by reference to the embodiments thereof illustrated in the appended drawings, which drawings form a part of this specification. It is to be noted, however, that the appended drawings illustrate only typical embodiments of the invention and are not to be considered limiting of its scope, for the invention may admit to other equally effective embodiments. Fig.. 1 is a schematic sectional view of a sonde in a well borehole penetrating earth formations and incorporating a collimated scintillation detector responsive to scattered source gamma radiation from a collimated source at the lower end thereof; Fig. 2 shows three spectra of transmitted gamma rays for oxygen, silicon and iron as a function of the energy level of the gamma ray photons; Fig. 3 is a graph of count ratio versus casing thickness; and Fig. 4 is a schematic block diagram of a detector gain stablization circuit for incorporation with a scintillation crystal detector and photomultiplier tube to assure that a photon of specified energy level provides a fixed amplitude output signal. Attention is first directed to Fig. 1 of the drawings. A sonde 10 is suspended on a conventional multiconductor armored well logging cable 12. The logging cable 12 extends to the surface and passes over a sheave wheel 14. The cable supports a number of conductors including a power supply system connected with a surface located power source 16. The logging cable 12 has conductors which are electrically coupled to a computer 18. The computer is connected to a recorder 20. In addition, the recorder 20 is mechanically or electrically connected with a sheave wheel 14 at 22 to transfer depth measurements of the sonde. The sonde 10 is lowered to the bottom of the well and a typical logging run progresses as the sonde, suspended on the logging cable, is raised from the well. As it is raised, the depth information is transmitted from the sheave wheel 14 to the recorder. This enables data to be recorded on some suitable record as a function of depth in the wellbore. The sonde 10 supports the logging apparatus of this disclosure. That apparatus includes a scintillation crystal 24. As an example, one suitable crystal is manufactured by Harshaw Chemical Company and is a Nal (Thallium activated) crystal. It is connected to a photomultiplier 26, a suitable model being an EMR 543 photomultiplier. The photomultiplier forms electrical signals which are input to a pulse height analyzer 28, which is connected with telemetry apparatus 30. The sonde also includes a power supply 32 and a suitable electronic control system 34. The sonde equipment is connected through the logging cable 12 to the surface equipment previously described. In ordinary operation, the sonde is decentralized and gammas are collimated directly into the casing. Centralized operation is also feasible subject to interference counts from detected gammas which never penetrate the casing. The sonde housing in the vicinity of the detector 24 could be composed of steel, but preferably is a material with an equivalent atomic number less than that of the casing, such as a beryllium compound or a graphite fiber reinforced epoxy, which minimally attenuates low energy gamma rays. Collimating material, such as tungsten is used to collimate the source directly into the formation through the casing; it is also important, but not essential, that the detector also be collimated directly out through the low atomic number material where the toolcase contacts the casing. The sonde 10 is decentralized by a set of arms 39 to push the tool against the casing 36. More than one detector could be employed if desired. The arms 39 are opposite the collimated source, assuring the source gamma radiation will pass through the casing. The sonde 10 is lowered into a cased wellbore. The casing 36 incorporates occasional collars at the end of each joint of the casing, and one such collar is indicated at 38. The casing 36 may be very uniform in thickness, or it may be corroded or worn and thereby educed in thickness. Also, perforations may be formed in the casing. The logging sonde 10 of Fig. 1 incorporates a radiation source 22. The radiation source is shielded so that it does not directly impinge on the detector crystal which is incorporated in the sonde 10. The radiation source 22 is also preferentially collimated to emit gamma radiation at a desired angle into the formation. The preferred radiation source is an gamma ray source such as Cs137 or Co60. The source may be shielded to direct gamma radiation from the radiation source through the casing and into the formation adjacent to the borehole. The radiation source emits gamma photons of a characteristic energy level resulting from decay of the particular gamma ray source selected. The emitted gamma photons from the logging source undergo the same Compton scattering and photoelectric absorption processes on passing through the adjacent formations and the casing as do naturally occurring gamma photons from the formation emitted toward the detection crystal. Further, the scattering of the characteristic emission gamma photons provides a wide spectrum of energy levels in the received photons at detector 24. Recalling that the exemplary radiation sources above emit photons of a specified energy, the Compton scattering process scatters the photons over a wide spectrum so that the gamma ray spectrum below 325 KeV at the detector has more or less the same shape as the scattered spectrum from natural gammas. Natural radiation levels at the detector are generally much less intense then from the logging source, and hence are not significant in the measurement. Referring now to Fig. 2 of the drawings, this graph shows the relative attenuation characteristics per unit mass of oxygen, silicon and iron to incident gamma radiation as a function of gamma ray energy. Fig. 2 is from "Energy Distribution of Scattered Gamma Rays in Natural Gamma Logging" by J.A. Czubek and A. Lenda, IAEA ERClearTechniques & Mineral Resources Transactions, Buenos Aires, Argentina, 1968. Fig. 2 depicts the relative transmission spectra through the three elements. It assumes a gamma ray source within a homogeneous medium of the indicated material of infinite dimension, and the source is presumed to have the same strength in all spectra. The curve 40 is the relative transmission of oxygen to=8). Oxygen is more transparent to low energy gamma rays, providing less attenuation than the other two elements. The curve 42 is the relative gamma ray transmission of silicon (Z-14). The curve 44 sets out the gamma ray transmission characteristics of iron (Z=26). At higher energy levels, the three curves show similar relative attenuation characteristics. This indicates that gamma radiation scattered from the earth formations are attenuated per unit mass more or less similarly by all three elements, which is a characteristic of Compton scattering, the dominant attenuation cross section in this energy range for'these elements. Because of this similar relative attenuation at higher energies, the spectral shape of gamma rays reaching the detector will be minimally altered by changes in casing conditions, or changes in other downhole parameters. Of course, the absolute magnitudes of the count rates in these higher energy ranges can be altered by changes in borehole conditions, as well as to changes in the density of the the formation. These density related changes could be incorporated into a simultaneous formation density measurement. Referring further to Fig. 2 of the drawings, the attenuation for the three elements shown in Fig. 2 remains the same whether the radiation source is naturally occurring gamma radiation or is scattered radiation from the source 22 affixed to the tool in the well. In the latter instance, the radiation is originally emitted at specific energy levels. For instance, the Cs137 isotope emits gamma radiation having an energy level of 662 KeV. Alternatively, Co60 decay results photons having 1173 KeV and 1332 KeV energies. Whatever the original emission, it is absorbed and scattered and is distributed over a spectrum ranging from the original energy level downwardly so that the source scattered spectrum at the detector is essentially a continuous spectrum for the purposes of the invention. Below about 200 KeV, the relative transmission curve of iron decreases sharply to the curved portion 48. This response indicates quite high attenuation for iron to low energy photons. The attenuation is extreme at low energy levels. This is especially true in the range from about 35 to 120 KeV. Casing in the well borehole will thus effectively prevent low energy photons from arriving at the scintillation crystal 24. At an energy level of about 20 KeV, attenuation by the casing is substantially total. Between 20 KeV and 175 KeV, very significant differences in the three spectra indicate the effects of changing casing thickness. Above about 150-200 KeV, the spectra have much more similar spectral shapes, with only minor differences due to the degree of Compton aownscattering. This similar shape extends up to and beyond a selected the upper energy range (350 KeV). From Fig. 2, it can be seen that a ratio of count rates in a range below about 175 KeV to the count rate in a range above 175 KeV is strongly affected by casing thickness. As will be understood, the two windows described above are utilized in the preferred forms of the present invention for radiation scattered from the radiation source 22 incorporated with the tool. Fig. 2 remains applicable should there be a resolvable energy band within the spectrum shown; however, scattering, generally distributes the photons in a wide range across the entire spectrum at the detector. The count rate in the energy ranges 35-120 ReV to count rate in the energy range 180-325 KeV is the preferred range, although the upper limit (325 ReV) could be extended to include the entire Compton scattered gamma spectrum from the source. Assume, in actual logging operations that a sonde is lowered to the bottom of a well in the manner set forth in Fig. 1. At a borehole depth of interest, the equipment is operated to obtain from the borehole measurement system from the scattered gamma ray energy spectrum wherein the spectrum is divided into two energy response bands or windows. Suitable windows are exemplified above, and they are on opposite sides of approximately 175 KeV. The two energy response bands or windows are preferably approximately the same for naturally occurring gamma radiation or scattered gamma radiation initiated by the radiation source 22. The scintillation detector is exposed to the scattered gamma rays from the source 22 at the depth of interest for a specified interval. During this time, the counts in the two energy bands are summed counting from some starting instant, the ratio formed and then compared to a calibrated ratio curve similar the one shown in Fig. 3 to obtain a relative indication of casing thickness. It is particularly important to note that the count ratio in the two energy windows is considered, not the absolute count or count rate. The energy windows cover the spectrum at which scattered gamma radiation from the source 22 is detected. Because the ratio is formed of measurements in both energy ranges from the scattered gamma rays, the source strength is normalized by taking the ratio. Because of this, the source strength is not critical and can be increased to improve the count rate and thereby increase the logging speed. This ratio normalization also minimizes fluctuations in count rates from formation scatter, thickness of the cement (if any) around the casing, formation density, variations in lithology, changes in borehole fluid, dwell time of the tool at the particular depth, and leaves thickness of the casing as the primary variable. Generally speaking, the ratio that is obtained from the measurements described in the method of this invention remains fairly consistent without regard to background or naturally occurring gamma ray source type (potassium, uranium, or thorium). This is because (1) the natural gamma count rates at the detector are very low, and (2) the scattered natural gamma spectrum in the energy range of interest has a very similar shape to that from the logging source at the detector. The ratio, except for extremely thin casing sections, is also virtually independent of the cement and formation lithology outside the casing, since photoelectric absorption in these materials is usually not significant relative to that of iron. If the formation or cement contains significant concentrations of high atomic number elements, it may be necessary to compensate the observed ratio for. these effects. Also, if the casing is extremely thin, it may be necessary to apply corrections for the effects of atomic number caused by the formation or cement, which are illustrated in Fig. 3 by the differences between curves 50 and 52. Ratio readings are taken as a function of depth in the well. As the sonde 10 is raised in the well, the thickness of the casing can be obtained from the measured ratios. It may be necessary to apply a small correction for nominal casing diameter because of geometrical differences in how the tool case contacts casing with different ratii of curvature. The surface computer 18 (Fig. 1) is programmed to compute the casing thickness from the ratio and a mathematical approximation to calibrated ratio versus thickness curves such as those in Fig. 3. Changes in the ratio indicate a change in casing thickness. Assume that the sonde 10 is raised until it is adjacent a casing collar 38 shown in Fig. 1. The coupling reduces the low energy transmission and thereby alters the ratio. Assume that the casing has been placed in well borehole for many years. When installed, it had a known thickness. However, it has been exposed to corrosion and is thereby thinned. The casing thickness monitor of this invention is especially useful in detecting weakened casing sections. Detection of perforations is also possible. Casing wear, resulting from drilling or workover operations, can also be detected. As shown in Pig. 1 of the drawings, a primary gamma scintillation crystal detector 24 is incorporated. The crystal 24 is indicated in Fig. 1 of the drawings immediately adjacent to a photomultiplier tube 26. In Fig. 4, the photomultiplier 26 is powered by a photomultiplier high voltage supply 60. A control signal is input to this voltage supply. As the voltage is changed, the amplification factor of the photomultiplier tube 26 is also changed. The scintillation crystal detector is positioned immediately adjacent to an optically opaque thin screen or housing 62. The housing is constructed to prevent light from impinging on the crystal detector 24. The photomultiplier 26 is connected to an amplifier 74. It shapes and amplifies the pulses from the photomultiplier 26. Such pulses are applied to an analog to digital converter 76. The digitized pulses are then input to a pulse height detector circuit 80 which tests for amplitude. Characteristic gamma ray photons of a specified height are repetitively observed with a seed source such as Co60 or Csl37. Preferably, the seed source 88 is implanted next to the detector crystal. Since seed sources such as these have higher energy than the scattered spectrum from the formation, they are isolated from the remaining spectrum and can easily be used for gain stabilization. These pulses have a fixed or constant amplitude after signal processing. The pulses are output to a high voltage control circuit 82 which in turn forms a signal for the photomultiplier high voltage supply 60 to increase or decrease the voltage supplied to the photomultiplier. If the circuit 82 observes that pulse height is proper, by matching a predetermined level, no change is made. Otherwise, feedback is provided to the high voltage supply 60 to change the gain of the photomultiplier tube and thereby bring the pulse amplitude to a required level. Consider one example of operation. Assume that the Cs137 gamma photon (662 KeV) pulse from the stabilized seed source is digitized and has an amplitude of 100 arbitrary units. If the control circuit 82 is provided with a signal from the detector 80, it is then tested to assure that pulse height measures 100 units. If it does, no change is made. If the pulse height does not, a change is made and is implemented by altering the high voltage supply 60. This then assures that the digitized pulse height from the analog to digital convertor 76 is input to the telemetry circuitry. The pulse train output from the telemetry circuit 30 provides the proper signals to the surface for further signal processing. An enhanced mode of circuit stabilization is to implant a low energy seed source SB in the crystal 24. The source is selected to emit a gamma photon of specific energy. One source is Am241 as an example. The source 88 emits a characteristic photon which is detected by the crystal 24 to form a pulse. This pulse is quantified in the ADC and tested for signal amplitude. If the pulse amplitude is the required value, then the amplification of the circuit is proper. If not, adjustments are made in the high voltage supply to obtain the correct amplitude. If count ratios from any seed source are in a spectral region of interest, it may be necessary to correct the observed count rate for the known rate from the seed source prior t9 utilization of data from the spectral region.

Claims: CLAIMS 1. A method of gamma ray spectral logging of a well borehole to determine the casing thickness of a cased well borehole, substantially independently of borehole conditions, characterised by the steps of: a) bombarding the formation beyond the casing with gamma radiation from a source (22) carried by the logging tool (iso) to create scattered gamma rays to be measured by the detector; b) measuring by a detector (24) in the logging tool the energy spectrum of gamma rays from outside the casing (36) in the vicinity of the well borehole at a specified depth in the borehole, said gamma ray spectrum being divided into gamma ray intensities measured in two energy bands; ; c) combining the gamma ray count rate data in one energy band in which photoelectric absorption in iron is significant with the gamma ray count rate data in one energy band where photoelectric absorption in iron is not significant to form an output indicative of casing thickness; and d) determining the thickness of the casing at the specified depth in the well borehole from said output. 2. A method as claimed in Claim 1, characterised in that the two energy bands are respectively above and below a level at which photoelectric absorption per unit mass in iron and silicon become approximately equal for increasing energy levels. 3. A method as claimed in Claim 1 or 3, characterised in that the two energy bands are primarily respectively above and below approximately 175 KeV. 4. A method as claimed in Claim 3, characterised in that one energy band encompasses the range 35-120 KeV and the other band encompasses the range 180-325 KeV. 5. A method as claimed in any preceding claim, characterised in that said combining--step forms a ratio of count rates in the two energy bands. 6. A method as claimed in any preceding claim, characterised in that said logging tool (10) is decentralized and said gamma radiation source (22) is collimated out through the casing (36) in the area where the tool contacts the casing. 7. A method as claimed in any preceding claim, characterised in that said logging tool (10) is decentralized and said detector (24) is collimated out through the casing in the area where the tool contacts the casing. 8. A method of Claim 7, characterised in that said logging tool contact area is a material with an atomic number less than that of the casing. 9. An apparatus for determining the thickness of casing in a well borehole, characterised by a) gamma ray detector means (24) adapted to be lowered in a borehole having a casing (36) therein and responsive to gamma radiation of energy levels ranging from zero up to in excess of the source energy; b) a radiation source (22) for bombarding the formation beyond the casing with gamma radiation to be scattered and detected by said gamma ray detector means; c) pulse forming means cooperative with said detector means for forming an observed gamma ray spectrum as a function of energy level and pulse frequency at specified energy levels; d) means defining high and low energy ranges wherein the low energy range is below approximately 175 KeV and the high energy range is primarily thereabove; and e) means provided with the pulse counts in the high and low energy ranges for forming an output signal indicative of casing thickness. 10. A method of logging a cased well borehole to determine the thickness of well casing therein utilizing gamma ray techniques, characterised by the steps of: a) detecting in a well borehole gamma radiation from a source (22) in a logging tool (10) scattered by earth formations and borehole materials outside the tool and separating said detected gamma radiation into a count rate energy spectrum; b) deriving from said spectrum an output signal representative of the degree of photoelectric absorption of gamma rays by iron in the well casing relative to attenuation of the gamma rays by other means; and c) determining as a function of said output signal, from a predetermined relationship, the thickness of the well casing at the depth level in the well borehole where said detecting step is performed.

Inventors: ROBBINS, CARL ARTHUR, SMITH, HARRY DAVIS, JR.
Applicants: HALLIBURTON COMPANY
Application year: 1984
Main classification: G01V5
IPC codes: E21B47, G01V5