US2712626A - Selective spontaneous potential well logging method and apparatus - Google Patents

Description

y 1955 HENRI-GEORGES DOLL 2,712,526

SELECTIVE SPONTANEOUS POTENTIAL WELL LOGGING METHOD AND APPARATUS 8 Sheets-Sheet 1 Filed Nov. 19, 1948 INVENTOR.

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July 5, 1955 Filed Nov. 19, 1948 HENRI-GEORG ES DOLL SELECTIVE SPONTANEOUS POTENTIAL WELL LOGGING METHOD AND APPARATUS FIGZQ.

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SELECTIVE SPONTANEOUS POTENTIAL WELL LOGGING METHOD AND APPARATUS Filed Nov. 19, 1948 8 Sheets-Sheet 3 D.C. AMPLIFIER INVENTOR.

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SELECTIVE SPONTANEOUS POTENTIAL WELL LOGGING METHOD AND APPARATUS Filed Nov. 19, 1948 8 Sheets-Sheet S FIGJZ. I;

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United States Patent 0 SELECTIVE SPONTANEOUS POTENTIAL WELL LOGGING METHOD AND APPARATUS Henri-Georges Doll, Ridgefield, C0nn., assignor to Schlumberger Well Surveying Corporation, Houston, Tex., a corporation of Delaware Application November 19, 1943, Serial No. 60,872

25 Ciaims. (Cl. 324l) The present invention relates to methods and apparatuses for investigating earth formations and more particularly to novel methods and apparatuses for distinguishing between permeable and impervious formations traversed by a bore hole. More specifically, it has to do with systems of this character in which the depth and thickness of permeable and impervious formations that are surrounded by formations of high resistivity may be ascertained in a highly effective manner.

In the present practice, the location and vertical extent of permeable formations traversed by a bore hole are usually determined by using well logging methods of the type disclosed in Patent No. 1,913,293 to Conrad Schlumberger. According to the methods described in that patent, indications are obtained of naturally occurring, or spontaneous potentials between an electrode moved through the bore hole and a suitably chosen point of reference. it has been found that the interpretation of these spontaneous potentials, hereinafter designated as S. P., is rather difiicult in some cases such as, for example, in highly resistive formations. A full discussion of this problem appears in a paper by the applicant entitled The S. P. log: Theoretical analysis and principles of interpretation, which was published in the September 1948 issue of Petroleum Technology. Further, except where the formations are of great thickness, the conventional S. P. log does not provide indications of the so-called static S. P. of a formation. The latter term, which was coined by the applicant, can be defined as the total E. M. F. causing the fiow of the spontaneous currents in the bore hole.

One object of the invention, accordingly, is to provide a novel well logging method and apparatus, in which the spontaneous potential indications obtained in the bore hole can be interpreted with greater ease, whereby permeable and impervious formations may be more readily differentiated from one another.

Another object of the invention is to provide a novel method and apparatus of the above character by means of which the thickness of a permeable formation can be more readily ascertained.

A further object is to provide a novel method and apparatus of the above character including means for providing indications from which the static S. P. of a formation may be deduced.

A still further object is to provide a novel method and apparatus of the above character which enables the location and thickness of earth formations to be determined simultaneously with their electrical resistivity, or conductivity.

These and other objects of the invention are attained by providing a Well logging system in which a potential measuring electrode is disposed intermediate two other electrodes in the bore hole, the spacing between the three electrodes being fixed. By maintaining the potential of said two electrodes at a selected, substantially constant value with respect to a reference point, modulated between limits if desired as described hereinafter, it has Patented July 5, 15 55 been found that variations in the potential difference between the measuring electrode and said two electrodes is more truly representative of characteristic E. M. F.s that are associated with the formations traversed by the bore hole. This is especially true in the case of permeable formations bounded by formations of high resistivity. Whereas the depth and thickness of such permeable formations could be ascertained only with difficulty by prior methods, these data can now be determined clearly and accurately according to the method of the invention.

In order to distinguish logs made according to the present invention from conventional logs of the type disclosed in the aforesaid Schlumberger patent, the former will be designated herein as selective S. P. logs.

Other objects and features of the invention will be apparent from the following detailed description of several typical embodiments thereof, taken in conjunction with the accompanying drawings, in which:

Fig. 1 is a schematic diagram of a typical five-electrode system constructed according to the invention;

Figs. 2(a), 2(0), 2(d), 2(e) and 2( are schematic representations of a conventional S. P. log in resistive strata, and several typical selective S. P. logs obtained under different conditions of operation, respectively;

Fig. 2(b) illustrates a geological column traversed by a bore hole in which the logs of Figs. 2(a), 2(a), 2(d), 2(e) and 2(3) are assumed to have been made;

Fig. 3 shows another embodiment of the invention using a three-electrode system, for recording a selective S. P. log;

Fig. 4 illustrates schematically a further embodiment using direct and alternating current simultaneously to record a modulated selective S. P. log;

Fig. 4A illustrates schematically a modification of Fig. l for recording simultaneously two different selective S. P. logs;

Fig. 5 is a schematic diagram of another form of the invention in which the voltage applied to the two parallel-connected electrodes in the measuring circuit is controlled automatically;

Fig. 6 illustrates schematically another embodiment for making simultaneously a selective S. P. log and a log of electrical conductivity;

Figs. 7(a), 7(b) and 7(0) show schematically a conventional S. P. log and representative logs of selective S. P. and electrical conductivity made according to the invention, respectively;

' Figs. 8(a), 8(a) and 8(1)) show a conventional S. P. log, a typical field example of a modulated selective S. P. log, and a computed static S. P. log, respectively;

Fig. 9 is a schematic diagram of a further embodiment which enables a modulated selective S. P. log and a conductivity log to be recorded simultaneously;

Fig. 10 illustrates an alternative form of electrode connection according to the invention;

Fig. 11 illustrates schematically another modification in which separate and automatic controls are used for each electrode whose potential is to be controlled;

Fig. 12 shows a representative circuit for recording simultaneously a selective S. P. log and a resistivity log; and.

Fig. 13 shows a further modification for recording a selective S. P. log simultaneously with a pressure vibrated I S. P- log.

As disclosed in the aforementioned Schlumberger patent and in the paper by H. G. Doll, the conventional S. P. log is a record of potential drops produced by currents which spontaneous potentials cause to flow in the conducting bore hole liquid and in'the surrounding formations. Surprisingly enough, it has been discovered that if a relatively highly conductive path is provided electrodes, 'with the electrode M at the center point.

for spontaneous currents flowing in the vicinity of the potential measuring electrode in the bore hole, the logs obtained differentiate more clearly between permeable and impervious formations. It has been found, further, that if the conductive path terminates at two points located on opposite sides of the potential measuring electrode in the direction of the bore hole axis, which points are maintained at a selected fixed potential with respect to a reference point, modulated between limits, if desired, the paths taken by the spontaneous currents are modified with the result that additional important advantages are obtained as will be described hereinafter.

One embodiment of the invention is shown in Fig. 1. An electrode array is lowered into a bore hole 20 which usually contains conductive mud. The electrode device may comprise, for example, five electrodes A1, G1, M, G2, and A2, maintained at a constant separation. The electrodes A1 and A2 are connected through an insulated conductor 37 to any suitable power source 23 by means of a potentiometer 22. This circuit, which will be called the power circuit hereinafter, is connected to ground at point 24.

In the vicinity of the electrodes A1 and A are placed two electrodes G1 and G2 which are connected to an insulated wire 30 and through a resistance 28 to a meter S. S. P. The other terminal of the meter S. S. P. is connected to another electrode M, through an insulated wire 29. This circuit will hereinafter be called the measuring circuit.

It will also be noted that a meter V is connected to the electrodes G1 and G and to a ground electrode 26, through a resistance 27. This part of the circuit will hereinafter be called the control circuit.

The electrode M is situated intermediate the electrodes G1 and G2, while the electrodes A1 and A2 are usually located outside the G1 and G2 electrodes from the electrode M, rather than inside. It is convenient, though not necessary, to use a symmetrical arrangement of these five In a practical arrangement, the separation distance between the electrodes G1 and G2 may be about eight times the usual bore hole diameter, while the electrodes A1 and A2 may be separated from the corresponding electrodes G1 and G2, respectively, by a distance approximately equal to the radius of the bore hole. However, these distances may be modified appreciably within the scope of this invention. a

This group of five electrodes is adapted to be moved along the portion of an open bore hole which contains drilling mud or other conducting fluid. The electrodes are preferably of the impolarizable type; however, in the usual drilling muds, they can be conventional electrodes made of lead, such as are now used in electrical logging. V

' The power source 23 may comprise a battery or any other suitable source of D. 0.; its terminals may be connected to a potentiometer 22 having a contact arm 22a that can be manipulated to vary the magnitude and polarity of the voltage applied between the electrodes A1, A2 and the ground 24. Obviously, any other suitable D. C. source of current may be used.

The resistance 28 and the S. S. P. meter together constitute a high resistance millivoltmeter. As such, these two elements could be replaced by an electronic voltmeter, or other potential measuring device; preferably it is adapted to record continuously while the electrode array is moved in the bore hole. Thereby the S. S. P. meter provides a record of the potential difference appearing between the electrode M and the electrodes G1 and G2, which latter electrodes are connected in parallel by the conductor 34.

Similarly, the meter V and the resistance 27 comprise a high resistance millivoltmeter.

,In operation, the potential of the electrodes G1 and G2 with respect to the reference electrode or ground 26,'is maintained at a particular value while the S. S. P. meter records a log as the electrode system is moved along the uncased bore hole. The potential of the electrodes G1 and G2 with respect to the ground 26 is indicated by the meter V and it can be controlled by changing the current flowing through the electrodes A1 and A2. Accordingly, while the electrode array is moved in the bore hole, the operator adjusts the potentiometer 22 to maintain the reading of the meter V substantially constant at the selected value.

The selection of the value of the potential of the electrodes G1 and G2 with respect to the ground 26 will depend on the type of selective S. P. log which is desired. For instance, for a log indicative primarily of permeable strata, the electrode system should be first placed opposite a fairly thick impervious formation of low resistivity. A bed of shale or clay, two or more times thicker than the distance between the electrodes A1 and A2 can be used, for example. While the electrode system is in this position, the current in the power circuit is adjusted until the S. S. P. meter reads zero, indicating that the dilference of potential between the electrode M and the electrodes G1 and G2 is zero. The potential of the electrodes G1 and G2 with respect to the ground 26 is then noted from the meter V. Then a log is taken with meter S. S. P. while the electrode system is moved through the bore hole, the reading of meter V being maintained constant.

In operation, let it be assumed that the apparatus shown in Fig. l is lowered into the bore hole 20, shown in Fig. 2(b); In that figure, the bore hole 20 extends through a geological Stratified formation such as may be encountered in oil fields, where oil may be present in limestone formations. The shale beds C1, C2 and Cs represent impervious formations having a relatively low resistivity, namely, of the same order of magnitude as the resistivity of the mud contained in the bore hole. The limestone bedsHr, H2, H3, H4, H5, H6 and H7, which are not indicated as permeable, represent impervious formations of much greater resistivity than the shale beds. The permeable limestone beds P1, P2, P3 and P4 represent permeable formations which may be oil, or gas, or water heating. Because such formations always contain a certain amount of water, their resistivities are less than the resistivity of impervious limestone beds. It is known that the permeable formations are the source of an E. M. F. established by electrofiltration and electrochemical phenomena. This E. M. F. generates currents which flow in the conductive mud of the bore hole and which follow paths extending along the bore hole from the boundary between a permeable stratum and an impervious formation.

A conventional S. log is shown in Fig. 2(a) for purposes of comparison. It will be seen from that figure that, although permeable beds are characterized on the log by a concavity towards the right, care must be exercised in interpreting the log if they are to be located accurately. In fact, the log does not show the thicknesses of the permeable beds.

in Fig. 2(d) is shown a-selective S. P. log recorded with the apparatus of Fig. l in the bore hole 20 of Fig. 2(b). As stated, the potential of the electrodes G1 and G2 was selected by adjusting the current flow of the power circuit so that the S. S. P. meter reads zero when the apparatus is opposite the shale bed C1 shown at the top of Fig. 2(b). On the log of Fig. 2(d) the permeable formations are clearly indicated by a deflection, or peak, to the left and their boundaries can be easily determined. lt will be noted that this log gives no appreciable indications of impervious beds of high resistivity H1H7, inclusive.

As a practical matter, the deflections appearing on the log in Fig. 2(d) are not as large in absolute value as those on the log shown in Fig. 2(a) at the levels of the corresponding formations. The reason for'this is that the deflections of the S. S. P. meter are a function of the sep aration distance between the electrodes G1 and G2 as well as of the resistivity of the formations. The smaller the separation distance, the smaller will be the deflection; also, the deflection will become smaller as the formation resistivity increases. Within limits, greater deflections can be obtained by increasing the spacing between the electrodes G1 and G2; however, this would also decrease the sharpness of the breaks in the curve. The separation distance given above for the electrodes G1 and G2 has been found to give a satisfactory log for practical purposes.

If the systemshown in Fig. 1 is adjusted so that the potential of the electrodes G1 and G2 is made more posi' tive than the potential used in making the log of Fig. 2(d), the shale beds C1, C2 and C3, as well as the permeable formations P1, P2, P3, and P4, will be indicated by deflections toward the left, as shown in Fig. 2(a). However, the deflections at the levels of the shale beds are of lesser amplitude than those at the levels of the permeable formations. tween the shale beds or impervious beds of low resistivity, the permeable beds, and the impervious beds having a high resistivity.

On the other hand, if the potential of the electrodes G1 and G2 is made more negative than the potential used for the log of Fig. 2(d), but not as negative as the static S. P. of the permeable beds P1-P4, inclusive, a log of the type shown in Fig. 2(e) is produced. This condition will usually be satisfied if the potential of the electrodes G1 and G2 is made less negative than the negative potential which would have to be given to them to have the S. S. P. meter read zero when the electrode array is at the level of a permeable formation. In the log of Fig. 2(2) the shales C1, C2 and C3 are clearly indicated by deflections to the right on the selective S. P. log; the permeable beds are still indicated by deflections to the negative side, but with less amplitude than previously; and the highly resistive beds are indicated by negligible deflections.

If desired, the electrodes A1 and A2 can be eliminated and the potential applied to the electrodes G1 and G2 by connecting the latter directly to the power circuit, by means of an insulated conductor 31, as shown in Fig. 3. The remainder of the circuit is similar to that shown in Fig. 1, and corresponding parts have been designated by corresponding reference characters.

This device operates in essentially the same manner as the apparatus shown in Fig. 1, and approximately similar results will be obtained. However, practical difliculties such as, for example, polarization of the electrodes, may be encountered in its use.

It is possible to eliminate either the wire 39 or the wire 31 and connect the power circuit to the measuring circuit at the point 36. However, it is preferable to use independent wires for each circuit, in order to avoid the undesirable effects arising from the resistance of a common wire.

Although the embodiment shown in Fig. 3 is simpler than that illustrated in Fig. 1, it is preferred to use the latter because of its greater reliability and flexibility, and because it lends itself to modifications which are of importance for particular problems.

Fig. 4 illustrates another embodiment of the invention, in which an A. C. modulation is introduced in the power circuit. In this embodiment, the power circuit includes an A. C. power source in addition to a D. C. power source. Thus, A. C. from a suitable source 44 is introduced into the power circuit through a transformer 45 of variable coupling. To this end, the secondary winding of the transformer 45 is connected in series with the conductor 37 and the potentiometer 22. A suitable switch 46 is connected in series with A. C. source 44 and the primary winding of the transtormer 45.

The control circuit comprises two branches connected in parallel between the reference electrode or ground 26 and the junction point 36. One branch includes a choke It is possible, therefore, to distinguish be- E coil 47 in series with a high resistance 5i and a D. C. meter V1. The second branch includes a blocking condenser 48 in series with a high resistance 49 and an A. C. meter V2.

In one method of operation, the potential of the electrodes G1 and G2 is selected as described above in con nection with Fig. 1, with the switch 46 open. In this case, the potential of the electrodes G1 and G2 will be indicated by the meter V1, and it will be maintained constant during a run. Alternating current is then applied to the apparatus by closing the switch 46 and the variable coupling of the transformer 45' is adjusted until the meter V2 indicates that the desired A. C. potential is being applied to the electrodes G1 and G2. The particular potential employed depends on the results desired, as indicated in greater detail hereinafter.

T he frequency of the A. C. should preferably be made low enough to enable its elfect to be recorded by the S. S. P. meter. However, the S. S. P. meter may be of a type that will record fairly high frequencies, such as a cathode ray tube, for example, in which case any desired frequency can be employed.

After the power circuit has been adjusted as described above, the electrode assembly is moved along the open section of the bore hole under investigation, the readings of meters V1 and V2 being maintained constant during the run.

The selective S. P. log obtained by operating in this manner is of the type shown in Fig. 2(f). It will be seen that it corresponds to a selective S. P. log such as might be recorded with the apparatus of Fig. l or Fig. 3, to which a modulation of variable amplitude is added. The amplitude of the modulation will depend, among other things, on the value of the applied current as determined from the reading of the meter V2.

For example, the D. C. potential of the electrodes G1 and G2 may be selected so that the S. S. P. meter reads substantially zero when the electrode array is op posite a thick shale, as discussed above. Now, if the peak-to-peak A. C. potential impressed on the electrodes G1 and G2, when the device is located at the level of said shale, corresponds in value to the change of potential required to be applied to the electrodes G1 and G2 to go from the log of Fig. 2(a') to the log shown in Fig. 2(e), then the envelopes of the modulated selective S. P.-log of 2(f) will correspond to the logs shown in Figs. 2(0) and 2(e), respectively. Of course, this assumes that the deflections of the logs shown in Figs. 2(a) and 2(3) opposite the shale C1 of Fig. 2(b) are equal in magnitude. Thus, it is possible to obtain at least two different selective S. P. curves during a single traverse by modulating the potential applied to the electrodes G1 and G2. The D. C. potential and A. C. modulation applied between the electrodes G1 and G2 and ground may be selected according to the type of selective S. P. log which may be desired- For practical purposes, it has been found that satisfactory results can be obtained if the peak-to-peak magnitude of the A. C. modulating voltage is in the range from 50 to 500 millivolts, although these values are not restrictive.

Instead of impressing a constant D. C. potential between the clectrodes G1 and G2 and ground, and modulating it with an A. C. potential of constant peak-to-peak amplitude, two D. C. potentials of different substantially constant magnitudes might be impressed on electrodes G1 and in rapid succession, by means of a suitable power circuit, as shown in Fig. 4A. For example, the power circuit might include two separate D. C. power sources like the battery 23 and potentiometer 22 of Fig. 1, for example, together with suitable switching means such as a commutator 25a, for example, for connecting them successively in the power circuit. A second commutator mechanism 25b operated in synchronism with the commutator 25a in the power circuit might be employed for connecting two indicating meters successively between the junction 36 and the ground 26 in the control circuit. By choosing indicating meters with sufiicient inertia, the readings will be steady enough to permit the two potentials impressed on the electrodes G1 and G2 to be adjusted to the desired constant values. The S. S. P. meter will then record a modulated selective S. P. log, and the two envelopes will correspond to two selective S. P. logs, recorded, respectively, with each of the two selected potentials impressed successively on the electrodes G1 and G2.

If desired, two S. S. P. meters can be used in the measuring circuit and commutated in synchronism with the two different impressed potentials by suitable switching means such as a commutatorZSc, to record simultaneously two difierent selective S. P. logs.

Fig.. 5 shows another embodiment of the invention, whereby the control of the potential impressed between electrodes G1 and G2 and ground is automatically maintained at a constant value. In this case, the control potential is applied to the input of a D. C. amplifier, the output of which is connected in the power circuit. The electrodes G1 and G2 are connected through an insulated conductor 36 to the input terminal 58 of the D. C. amplifier 55. The other amplifier input terminal 56 is connected to a resistance 27 and the meter V, and then in series with a suitable source of D. C. voltage to the ground or reference electrode 26. The D. C. voltage source may comprise, for example, a potentiometer 62 energized by a battery 63, and it permits the adjustment of the potential of the electrodes G1 and G2, without afiecting the operation of the D. C. amplifier 55; in this manner, contact potentials, for example, such as occur at the electrode 26 and the ground, may be counterbalanced,

The electrodes A and A2 of Fig. 5 are connected to one outputterminal 59 of the amplifier 55, the other output terminal 57 being connected to the ground at point 24.

The amplifier 55 may be of any conventional type designed to provide a power output that is a function of the voltage-input. Furthermore, the connections to the amplifier 55 are so arranged that substantially 100% degenerative feedback obtains between its output and input terminals. to keep the voltage across its input terminals to a null value, so that the potential applied between the electrodes G1 and Gz and ground, is maintained substantially constant.

The measuring circuit comprises the meter S. S. P. which is connected through the conductor 29 to the electrode M and through the resistance 28 and the conductor 30 to the electrodes G1 and G2.

In operation, the electrode array is placed at a location in the bore hole where the potential corresponds to the one selected for the electrodes G1 and G2. The variable contact of the potentiometer 62 then is adjusted until the meter V indicates a null reading. Then the amplifier 55 is turned on, and the recording of the S. S. P. log is made while the electrode array is displaced along the bore hole.

The embodiment of the invention shown in Fig. 6 enables a modulated selective S. P. log to be recorded simultaneously with a log of the conductivity of the formations, the D. C. and A. C. potentials impressed between the electrodes G1 and G2 and ground, being controlled automatically. 7

The power circuit of the system shown in Fig. 6 is similar to the one described above in connection with Fig. 5, and corresponding parts have been designated by corresponding reference characters. The measuring circuit comprises two branches in parallel and connected to the electrode M and to the electrodes G1 and G2 through the insulated wires 2? and 30, respectively. One of the branches comprises the S. S. P. meter and its resistance 28, while the other branch comprises a recording Under these conditions, the amplifier tends type indicating apparatus C, its resistance 68 and a block- 1 ing condenser 69.

The control circuit includes the electrodes G and G2, the insulated conductor 30, a potentiometer 64 energized by a D. C. source 65, a potentiometer 53 adapted to be energized by an A. C. source 52 through a switch 54, a

high resistance meter V in parallel with the input terminals of the amplifier 55, and the ground 26.

In operation, theswitch 54 is first opened, ancl'the D. C. potential impressed on electrodes G1 and G2 is adjusted as described above. Then the switch 54 is closed, thereby permitting a suitable A. C. potential to be impressed on electrodes G and G2, and the amplifier 55 is turned on. The action of the amplifier 55 not only maintains the D. C. potential impressed on the G1 and G2 electrodes constant, but also insures that the A. C. potential impressed on said G1 and G2 electrodes is kept constant in magnitude during the logging run. Accordingly, a modulated selective S. P. log will be recorded by the meter S. S. P. This log will correspond to the log shown in Fig. 2( or the log of Fig. 7(b).

In addition, the alternating potential dilference alone will be recorded by the meter C, the direct component being blocked by the condenser 69. It has been found that the amplitude of the A. C. recorded by the meter C is a function of the apparent conductivity of the formation opposite the electrode array. A typical conductivity log recorded by the meter. C is illustrated in Fig. 7(c).

Fig. 7(a) shows schematically a geological column comprising some permeable formations Rp of medium resistivity, some impervious strata Re of low resistivity such as shales or clays, for example, some hard, resistive and impervious formations Rh, and some impervious formations R1. of intermediate resistivity. A typical conventional S. P. log such as might be obtained in a bore hole traversing the column is superimposed on the geological column for convenience.

The log of Fig. 7(b) is a typical log such as might be recorded by the meter S. S. P. of Fig. 6 for the column shown in Fig. 7(a) while the log of Fig. 7(a) is of the Figs. 8(a) and 8(a), respectively, show a conventional S. P. log and a modulated S. P. log actually recorded over the same section of a bore hole in the field with the apparatus shown in Fig. 6. In addition, in Fig. 8(b) is shown a static S. P. log which has been computed from the modulated S. P. log of Fig. 8(a).

In order to obtain the static S. P. log such as is shown in Fig. 8(b), it is necessary to determine the null position of the S. S. P. meter, on the modulated selective S. P. log of Fig. 8(a). This can be done in several ways.

I For instance, if the impressed D. C. potential is adjusted approached by the modulation envelopes as the amplitude of the modulation becomes very small; such point corresponds to very resistive formation where the difference of potential between electrodes G1 and G2 and the electrode M is practically nil. On the modulated selective S. P. log shown in Fig. 8(c), the null position is indicated by a dashed line.

The computed static S. P. log of Fig. 8(b) is based upon the premise that if the potential of the electrodes G1 and G2 corresponds to the static S. P. at a particular location, then for that location, the value of the selective S. P. log should be Zero, i. c. it should be at the null deflection position. Since the departure of each envelope of the selective S. P. log from the null deflection position is directly proportional to the potential impressed on the electrodes G1 and G2, then the static S. P. for a formation can be considered to be equal to the potential that would have to be applied to the electrodes G1 and G2 to bring one of the modulation envelopes to the null deflection position.

In practice, this can be done by measuring on the log, for each level, the lateral distances between the null deflection position and each of the modulation envelopes. Then, knowing the A. C. potential impressed between the electrodes G1 and G2 and the ground 26 during the recording of the modulated selective S. P. log, the potential that would be necessary to bring one of the envelopes to the null deflection position can be readily determined as the ratio of the distance from that envelope to the null position, to the total distance between the two envelopes, multiplied by the peak-to-peak magnitude of the A. C. voltage applied to the electrodes G1 and G2. A plot of such computed potential values will give the static S. P. log shown in Fig. 8(1)).

For example, if the A. C. potential impressed on the electrodes G1 and G2 during the recording of the log of Fig. 8(a) is V sin wt, at the level 6l00' the static S. P. will be it will be understood that the static S. P. log can also be computed from two separate selective S. P. logs made with diflerent values of D. C. potential, respectively, ap-

plied to the electrodes G1 and G2.

Fig. 9 illustrates a preferred embodiment of the invention which enables a modulated selective S. P. log to be recorded simultaneously with a conductivity log, the potentials impressed between the electrodes G1 and G2 and ground 26 being controlled automatically. in this embodiment, the ground 24 is replaced by an electrode B lowered into the bore hole 29 and located at a relatively large fixed distance, say meters, for example, from the other electrodes, so as not to aifect appreciably the potential of the other electrodes. it can be seen that the change in the location of the electrode connecting the terminal 57 of amplifier 55 to ground does not modify the operation of the apparatus. Such change could be made in all the other embodiments of the invention without changing the results.

The control circuit of Fig. 9 is identical to the control circuit of Fig. 6 and like parts are designated by like reference charac ers. The modulated selective S. P. is measured by means of the S. S. P. meter, as described above in connection with Fig. 6.

On the other hand, the conductivity meter C is now placed in series with a bloating condenser 69 in the connecting wire between the amplifier terminal 57 and the ground electrode B. In parallel with the meter C and its condenser to is a suitable choke 76". The D. C. supplied by the amplifier to the power circuit will flow through the choke 70, while the A. C. will pass through condenser 69' and meter C where it will be measured.

As the A. C. potential impressed on the electrodes G1 and G2 is maintained constant, the A. C. flowing in the ground between electrodes A1, A2 and B will vary in direct proportion to the conductivity of the formation.

Accordingly, the current measured by meter C will be proportional to the conductivity of the formation.

In the several embodiments of the invention described above, the electrodes G1 and G2, as well as electrodes A1 and A2, have been shown connected together by conductors. in some cases, it may be desirable to introduce resistances, either between each of the electrodes G1, G2 and the wire 39, or between each of th electrodes A1, A2 and the wire 37, or both, as shown in Fig. 10. if the device is symmetrical with respect to the electrode M, the resistance 141 should preferably be made equal to the resistance 142, these resistances connecting the electrodes G1 and G2, respectively, to the insulated wire 30. However, if electrodes G1 and G2 are not identical, it may be that their resistances in the mud will be diflerent. In such case, the differences may be compensated by giving different values to the resistances 141 and 142. Also, if the electrode device is not symmetrical, it may be found desirable to make the resistances 141 and 142 of different value in order to obviate the asymmetry of the device.

Similarly the resistances 143 and 144, which are in series, respectively, with the electrodes A1 and A2 in Fig. 10, can be chosen of equal value, if the electrode device is symmetrical. In this manner, the introduction of resistances in series with the electrodes A1 and A2 will tend to insure that the current flowing in each electrode is of equal value. On the other hand, if there is asymmetry, either geometrical, or electrical, such asymmetry can be compensated for by using different values for the resistances 143 and 144.

In the modification of the invention shown in Fig. 11, the conductors connecting the electrodes G1 and G2 to one another and the electrodes A1 and A2 to one another have been omitted. Instead, two amplifiers and 55, which separately control the potential of each of the electrodes G1 and G2 are used. In some cases, it may be found desirable to use two distinct controls for the electrodes G1 and G2, and this can be done for the various embodiments herein described. The electrode A1 in Fig. 11 is connected to the output terminal 59' of the amplifier 55 through an insulated wire 113, the other output terminal 57 being grounded at 124. Similarly, the electrode A2 is connected to the output terminal 59 of the amplifier 55 through an insulated wire 111, the other output terminal 57 being grounded at 124.

One control circuit comprises the electrode G1, an insulated wire 112, the input terminal 58 of the amplifier 55', the amplifier terminal 56, a resistance 127, the control meter V, a potentiometer 62 energized by a suitable D. C. source 63 and the ground 26. The other control circuit comprises the electrode G2, an insulated wire 110, the input terminal 58 of the amplifier 55, the amplifier input terminal 56, a resistance 127, the control voltmeter V, a potentiometer 62 energized by a suitable D. C. source 63 and the ground 26.

The measuring circuit includes the electrode M, the insulated wire 29, the meter S. S. P. with its resistance 123, and the junction point 136.

in operation, the potential impressed on electrodes G1 and G2 is controlled by means of the meters V and V with their associated potentiometer circuits. Preferably, the potential of electrode G1 is made equal to the potential of electrode G2. The amplifiers 55 and 55 will maintain the potential of the electrodes G1 and G2 constant by supplying appropriate currents through the electrodes A1 and A2.

As the potential of the electrodes G1 and G2 is maintained constant, the meter S. S. P. may be connected between the M electrode and either of the electrodes G1 or G2 at the junction point 136. If the potential of the electrode G1 is made equal to the potential of the electrode G2 the meter S. S. P. may be connected to both electrodes at the point 136. The meter S. S. P. will record a selective S. P. log as previously described.

Fig. 12 illustrates a system designed to record simultaneously a selective S. P. log and a resistivity log of the formations. in this apparatus, the electrodes A1 and A2 of the power circuit are connected through the insulated wire 37, a choke 8i) and the potentiometer 22 to a suitable source of D. C. current 23. The circuit is closed through the ground by means of the electrode or ground 24.

The control circuit comprises the electrodes G1 and G2, the insulated wire 3%], the chokes 76 and 75, the resistance 27 and the indicating apparatus V, to the ground reference 26. The measuring circuit includes the meter S. S. P. in series with the resistances 28, a choke 74, an insulated wire 29 and the electrode M.

vibrated S. P; curve. patent application Serial No. 22,616, filed April 22, 1948,

The operation of the apparatus, in so far as the selective S. P. log is concerned, is similar to the operation described above, for instance, in connection with Fig. l.

A1 and Az and the electrodesGi and G2, impressing periodically variable potential on the electrode M with respect to the ground point 82. This potential will be measured by a meter R which is connected in series with blocking condenser 73. The indications of tie meter R will permit the electrical resistivity of the stratum o o site the electrode array to be computed. if the current flowing through the meter I is maintained constant, the

difference of potential recorded by the meter R will be proportional to the resistivity of the formations.

If desirable, an automatic control may be used in the circuit instead of the manually adjusted source of current shown at 22 and 23. Similarly, other modifications described previously can be introduced in this apparatus without changing the results obtained.

Another embodiment of the invention is shown in Fig. 13 which illustrates a circuit whereby a selective S. P. log can be recorded simultaneously with a pressure- In a co-pending United States by Henri-Georges Doll, for Well Logging Method and 7 Apparatus Utilizing Periodically Variable Spontaneous Potentials, now Patent No. 2,550,005, there is disclosed a method and apparatus for obtaining indications of changes in the S. P. caused by pressure variations applied to the mud contained in the bore hole. The mechanical device used to produce pressure changes, which need not be described in detail herein, can be used in connection with the circuit shown in Fig. 13.

In Fig. 13, the electrodes A1 and A2 are connected to the output terminal 5? of the an plifier 55 through the wire 37. The other amplifier output terminal 57 is connected to ground at 24. The control circuit comprises the electrodes G1 and G2 connected to the input terminal 53 of the amplifier through the wire and the potentiometer 64 which is energized by the battery 65. Tie other input terminal 56 of the amplifier is connected to a ground electrode 26. In parallel with the amplifier input terminals is connected a meter V to assist in the adjustment of the potential of the electrodes G1 and G2 and in the control of the operation of the amplifier 55.

The measuring circuit comprises the electrode M, the wire 29 and two measuring branches connected in parallel to the junction 36. The left hand branch comprises a meter S.S.P., a resistance 23 and a choke coil 61. The right hand branch includes the meter C, a resistance 63 and a blocking condenser 60.

By combining a selective S. P. system with a pressure-vibrated S. P. system as shownin Fig. 13, a log can be obtained on which the permeable formations, where electrofiltration takes place, are more clearly defined. This is especially true where such permeable formations are located adjacent resistive formations.

in some cases,'useful results can be obtained without applying any external potential to the electrodes Gr S2 of the embodiment shown in Fig. 3, the power and control circuits being omitted. When such an electrode array is moved through a bore hole, a log of the potential between the M electrode and the electrodes G1 and G2 will 'defiect significantly at the boundaries of permeable formations. From the foregoing, it will be understood that the invention provides a novel and highly eifective method and apparatus for investigating earth formations traversed by a bore hole. By utilizing a potential measuring electrode located intermediate two other electrodes, and adjusting the potential of said two electrodes as described herein, logs may be obtained which enable permeable and impervious formations to be more readily differentiated than has been possible heretofore.

In the embodiments described above which employ modulation, the frequency of the modulating signal should preferably be made low enough to avoid undesir able phase shifts in the several circuits. However, higher frequencies may be used provided suitable phase shifting means are employed to compensate for any undesirable phase shifts that may occur.

It will be further understood that the several embodiments disclosed herein by way of illustration are suscept ible of numerous modifications within the scope of the invention. (Ether suitable circuit components such as meters, amplifiers, etc., will suggest themselves to persons srailled in the art. The illustrative embodiments described above, therefore, are not to be regarded as limiting in any way the scope of the following claims.

i claim:

1. In a method of investigating earth formations traversed by a bore hole containing a relatively conducwe liquid, the steps of modifying the flow of naturally occurring currents along a portion of said bore hole by establishing an artificial potential difference having a D. C. component of predetermined value between at least one point in said bore hole portion" and a point of reference outside of said portion, obtaining indications of the potential difference produced by said modified how of naturally occurring currents between said one point and a second point in said bore hole portion and spaced a relatively short, fixed distance from said one point, in the direction of the bore hole axis, and repeating the foregoingsteps in other portions of the bore hole at dilfercnt depths therein with the same predetermined value for said D. C. component.

2. The method defined in claim 1 in which the artificial potential difierence established at each of the different depths in the bore hole also has an A. C. component of a substantially constant predetermined value at each depth.

3. In a method of investigating earth formations traversed by a bore hole containing a relatively conductive liquid, the steps of modifying the flow of naturally occurring currents along a portion of said bore hole by establishing a modulated, D. C. potential dilference of predetermined value between at least one point in said bore hole portion and a point of reference outside of said bore hole portion, and obtaining indications of variations in the potential difierence between said one point and a second point in said bore hole portion and spaced a relatively short, fixed distance from said one point, in the direction of the bore hole axis.

4. In a method of investigating earth formations traversed by a bore hole containing a relatively conductive liquid, the steps of disposing at least two electrodes in the bore hole in fixed, longitudinally spaced-apart relation, moving said electrodes to different depths in the bore hole, modifying the naturally occurring currents in the vicinity of said electrodes in the bore hole by maintaining a potential difference having substantially the same D. C. component between one of said electrodes and a reference point at each of said depths, and'obtaining indications of variations in the potential difference produced by said modified flow of naturally occurring curnga e 13 trodes potentials having substantially the same D. C. components, and obtaining indications of the potential diiference between the third electrode and said two outer electrodes produced by the flow of said modified naturally occurring currents.

6. In a method of investigating earth formations traversed by a bore hole containing a relatively conductive liquid, the steps of disposing in the bore hole at least three longitudinally spaced-apart electrodes mounted in fixed relation to each other, modifying the naturally occurring currents in the vicinity of said electrodes in the bore hole by maintaining between the two outer electrodes and a reference point potential having a substantially constant D. C. component, and obtaining indications of the potential difference between the third electrode and said two outer electrodes produced by said modified flow of naturally occurring currents.

7. In a method of investigating earth formations traversed by a bore hole containing a conducting liquid, the steps of disposing in the bore hole at least three longitudinally spaced-apart electrodes mounted in fixed relation to each other, moving said electrodes as a unit to different depths in the bore hole, modifying naturally occurring currents in the vicinity of said electrodes in the bore hole by emitting electric current having a D. C. component from points near the two outer electrodes, adjusting the intensity of the current emitted at said points to maintain said two outer electrodes at a substantially constant potential With respect to a reference point, and obtaining indications of variations in the potential difierence produced by said modified naturally occurring currents between the third electrode and said two outer electrodes.

8. In a method of investigating earth formations traversed by a bore hole containing a conducting liquid, the steps of disposing in the bore hole at least three longitudinally spaced-apart electrodes mounted in fixed relation to each other, moving said electrodes as a unit to different depths in the bore hole, modifying naturally occurring currents in the vicinity of said electrodes in the bore hole by emitting modulated direct current from points located near the two outer electrodes, respectively, adjusting the intensity of the current emitted at said points to maintain between said two outer electrodes and a ref erence point a potential difference including a substantially constant D. C. component and a substantially constant modulation component, obtaining indications of variations in the total potential difference produced by said modified naturally occurring currents between the third electrode and said two outer electrodes, and obtaining indications of variations in only the modulation component of the potential difference between the third electrode and said two outer electrodes.

9. In a method of investigating earth formations traversed by a bore hole containing a conducting liquid, the steps of disposing in the bore hole at least three longitudinally spaced-apart electrodes mounted in fixed relation to each other, moving said electrodes as a unit to difierent depths in the bore hole, modifying the naturally occurring currents in the vicinity of said electrodes in the bore hole by emitting modulated direct current from points located near the two outer electrodes, respectively, adjusting the intensity of the current emitted at said points to maintain said two outer electrodes at a substantially constant modulated D. C. potential with respect to a reference point, obtaining indications of variations in the total potential diflference produced by said modified naturally occurring currents between the third electrode and said two outer electrodes, and obtaining indications of variations in the intensity of the current emitted at said points.

10. In a method of investigating earth formations traversed by a bore hole containing a relatively conductive liquid, the steps of lowering into the bore hole at least three longitudinally spaced-apart electrodes mounted in fixed relation to each other, modifying the naturally occurring currents in one portion of the bore hole in the vicinity of said electrodes by emitting electric current hav ing a D. C. component from a first point near one of the outer electrodes, adjusting the intensity of the current emitted from said first point to maintain said one outer electrode at a substantially constant potential with respect to a reference point, modifying the naturally occurring currents in another portion of the bore hole in the vicinity of said electrodes by emitting electric current having a D. C. component from a second point near the other of said outer electrodes, adjusting the current emitted from said second point maintain said other outer electrode at a substantially constant potential with respect to a reference point, and obtaining indications of variations in the potential difference produced by said modified naturally occurring currents between the third electrode and at least one of said outer electrodes.

ll. ln a method of investigating earth formations traversed by a bore hole containing a relatively conductive liquid, the steps of lowering into the bore hole at least three longitudinally spaced-apart electrodes mounted in fixed relation to each other, modifying naturally occuring currents in the vicinity of said electrodes by emitting direct electric current from points located near the two outer electrodes, respectively, adjusting the intensity of the current emitted from said points to maintain the D. C. potential of said outer electrodes with respect to a reference point substantially constant, passing alternating current between each of said points and the corresponding outer electrode, obtaining indications of variations in the alternating potential difference between the third electrode and a reference point, and obtaining indications of variations in the D. C. potential difference produced by said modified naturally occurring currents between the third electrode and said two outer electrodes.

12. In well logging apparatus, the combination of at least there electrodes adapted to be lowered into a bore hole in fixed longitudinally spaced-apart relation and of such size that they can be considered as point electrodes, the spacing between said three electrodes being the same, means for modifying naturally occurring potentials in the vicinity of said electrodes in the bore hole by maintaining on the outer electrodes potentials having substantially the same D. C. components, and means for obtainiug indications of the potential difierence produced by said modified flow of naturally occurring currents between the third electrode and said two outer electrodes.

13. In well logging apparatus, the combination of at least three electrodes adapted to be lowered into a bore hole in fixed longitudinally spaced-apart relation and of such size that they can be considered as point electrodes, means for modifying naturally occurring currents in the vicinity of said electrodes in the bore hole by maintaining between the outer electrodes and a reference point potential having a substantially constant D. C. component, and means for obtaining indications of the potential difference produced by said modified naturally occurring currents between the third electrode and said two outer electrodes.

14. In well logging apparatus the combination of three longitudinally spaced-apart electrodes mounted in fixed relation to each other and adapted to be lowered into a bore hole, said electrodes being of such size that they can be considered as point electrodes, a source of electrical energy having a D. C. component connected to the two outer electrodes and to a reference point for modifying the flow of naturally occurring currents in the vicinity of said two outer electrodes, and means for obtaining indications of the potential difference produced by said modified flow of naturally occurring currents between the third electrode and said two outer electrodes.

15. In well logging apparatus, the combination of an electrode array adapted to be lowered into a bore hole, said array comprising inner and outer pairs of longitudinally spaced-apart electrodes and an electrode intermediate the electrodes of said inner pair, all of said electrodes being mounted in fixed relation to each other and the electrodes in each pair being electrically connected to each other, a source of direct current connected to the electrodes of one of said pairs and to a reference point, means for superimposing an A. C. modulation upon said direct current, and means for obtaining indications of variations in the potential difference between said intermediate electrode and the other of said pairs of electrodes.

16. In well log ing apparatus, the combination of an electrode array adapted to be lowered into a bore hole, said array comprising inner and outer pairs of longitudinally spaced-apart electrodes and an electrode intermediate the electrodes of inner all of said electrodes being mounted in fixed relation to each other, amplifier means having input terminals connected to a reference point and to one of said pairs of electrodes, respectively, and having output terminals connected to a reference point and to said other pair of electrodes, respectively, said amplifier means being connected for degenerative feedback between the output and input terminals thereof, a source of voltage having a D. C. component connected in series with said' amplifier input terminals, and means for obtaining indications of the potential diiference be tween said intermedite electrode and said one pair of electrodes.

17. In well logging apparatus, the combination of an electrode array adapted to be lowered into a bore hole, said array comprising inner and outer pairs of longitudinally spaced-apart electrodes and an electrode intermediate the electrodes of said inner pair, all of said electrodes being mounted infixed relation to each other and being of such'size that they can be considered as point electrodes, amplifier means having input terminals connected to a reference point'and to one of said pairs of electrodes, respectively, and having output terminals connected to a reference point and to said other pair of electrodes, respectively, said amplifier means being connected for degenerative feedback between the output and input terminals thereof, a source of modulated D. C. Voltage con nected in series with said amplifier input terminals, means for obtaining indications of the total potential difference between said intermediate electrode and said one pair of electrodes, and means for obtaining indications of only the modulation component of the potential difference be tween said intermediate electrode and said one pair of electrodes.

18. In well logging apparatus, the combination of an electrode array adapted to be lowered into a bore hole, said array comprising inner and outer pairs of longitudinally spaced-apart electrodes and an electrode intermediate the electrodes of said inner pair, all of said electrodes being mounted in fixed relation to each other, amplifier means having input terminals connected to a reference point and to one of said pairs of electrodes, respectively, and having output terminals connected to a reference point and to said other pair of electrodes, respectively, said amplifier means being connected for degenerative feedback between the output and input terminals thereof, a source of modulated D. C. voltage connected inflseries with said amplifier input terminals, means for obtaining indications of the total potential difference between said inte mediate electrode and said one pair of electrodes, and means connected in circuit with said amplifier output terminals for obtaining indications of the modulation component in said amplifier output.

19. in well logging apparatus, the combination of an electrode array adapted to be lowered into a bore hole, said array comprising inner and outer pairs of longitudinally spaced-apart electrodes and an electrode intermediate the electrodes of said inner pair, all of said electrodes being mounted in fixed relation to each other and being of such size that they can be considered as point electrodes, first amplifier means having input terminals connected to a reference point and to one electrode in one of said pairs, respectively, and having output terminals connected to a reference point and to one electrode in the other of said pairs, respectively, second amplifier means having input terminals connected to a reference point and to the other electrode of said one pair, respectively, and having output terminals connected to a reference point and to the other electrode of said other pair, respectively, said first and second amplifier means being connected for degenerative feedback between the respective inputs and outputs thereof, a source of control voltage having a D. C. component connected in series with said first amplifier input terminals, a second source of control voltage having a D. C. component connected in series with said second amplifier input terminals, and means for obtaining indications of the potential difference between said intermediate electrode and at least one of the electrodes of said one pair.

20. in well logging apparatus, the combination of an electrode array adapted to be lowered into a bore hole, said array comprising inner and outer pairs of longitudinally spaced-apart electrodes and an' electrode intermediate the electrodes of said inner pair, all of said electrodes being mounted in fixed relation to each other and being of such size that they can be considered as point electrodes, a source of direct current connected to a reference point and to one of said pairs of electrodes, a source of periodically variable current having one terminal connected to said one pair and another terminal connected to the other of said pairs of electrodes, means of obtaining indications of only the periodically variable component of the potential difference between said intermediate electrode and a reference point, and means for obtaining indications of only variations in the D. C. component of the potential difference between said intermediate electrode and said other pair of electrodes.

21. In a method of investigating earth formations traversed by a bore hole containing a relatively conductive liquid, the steps of disposing in the bore hole at least three electrodes having fixed longitudinal spacings relatively' to each other, establishing between the two outer electrodes and a reference point a conditioning potential difference having a DC component and being of such magnitude and polarity as will bring to a predetermined reference value the potential difference produced by naturally occurring currents between the third electrode and said two outer electrodes, when the electrodes are located at the level of a given type of formation traversed by the bore hole, maintaining said conditioning potential dilference between the two outer electrodes and said reference point fixed as the electrodes are positioned at difierent depths in the bore hole, thereby modifying the naturally occurring currents at said depths in the bore hole, and obtaining indications at said locations of the potential difference produced by said modified naturally occurring potentials between said third electrode and said two outer electrodes.

22. In a methodof investigating earth formations traversed by a bore hole containing a relatively conductive liqold, the steps of disposing in the bore hole at least three electrodes having fixed longitudinal spacings relatively to each other establishing between the two outer electrodes and a reference point a conditioning potential difference of such magnitude and polarity as will bring substantially to zero the potential difference produced by naturally ocin the bore hole, and obtaining indications of the potential difference produced by said modified naturally occur- 17 ring potentials between said third electrode and said two outer electrodes.

23. The method defined in claim 22 in which the conditioning potential difference established between the two outer electrodes is more positive than the potential difference which would bring substantially to zero the potential difference produced by naturally occurring currents between the third electrode and said two outer electrodes when the electrodes are located at the level of a fairly thick impervious formation of low resistivity traversed by the bore hole.

24. The method defined in claim 22 in which the conditioning potential difierence established between the two outer electrodes is more negative than the potential difference which would bring substantially to zero the potential difference produced by naturally occurring currents between the third electrode and said two outer electrodes when the electrodes are located at the level of a fairly thick impervious formation of low resistivity traversed by the bore hole, but not negative enough to bring substantially to zero the potential difierence produced by naturally occurring potentials between the third electrode and said two outer electrodes when the electrodes are located at the level of a permeable formation.

25. In a method of investigating earth formations traversed by a bore hole containing a relatively conductive liquid, the steps of disposing in the bore hole at least three electrodes having fixed longitudinal spacings relatively to each other, establishing alternately between the two outer electrodes and a reference point conditioning potential differences that are, respectively, more positive and more negative than the potential diiference required to bring substantially to zero the potential diiference produced by naturally occurring currents between the third electrode and said two outer electrodes when the electrodes are located at the level of a fairly thick impervious formation of low resistivity traversed by the bore hole, maintaining said conditioning potential difierences between the two outer electrodes and said reference point fixed as the electrodes are positioned at different depths in the bore hole, thereby modifying the naturally conducting currents at said depths in the bore hole, and obtaining indications of the potential differences produced by said modified naturally occurring potentials between said third electrode and said two other electrodes for both of Said conditioning potential differences.

References Cited in the file of this patent UNITED STATES PATENTS 2,317,039 Ennis Apr. 20, 1943 2,317,259 Doll Apr. 20, 1943 2,347,794 Piety May 2, 1944 2,397,254 Ennis Mar. 26, 1946 2,401,371 Pearson et al. June 4, 1946 2,412,363 Silverman Dec. 10, 1946 2,428,034 Nichols et al Sept. 30, 1947 2,446,303 Owen Aug. 3, 1948 2,592,125 Doll Apr. 8, 1952 FOREIGN PATENTS 102,388 Sweden Aug. 26, 1941

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