Measuring device for parameters of drill bit

By installing a power module and measurement components on the drill bit, the parameters of the drill bit can be directly measured, solving the problem of the inability to accurately reflect the working status of the drill bit in the existing technology, and realizing reliable data support in the drilling process.

CN121898508APending Publication Date: 2026-04-21CHINA PETROCHEMICAL CORP +3
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Patent Information

Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
CHINA PETROCHEMICAL CORP
Filing Date
2024-10-18
Publication Date
2026-04-21

AI Technical Summary

Technical Problem

Existing drilling measurement devices are installed upstream of the drill bit and cannot accurately reflect the actual working status of the drill bit, resulting in high data ambiguity and risk in intelligent drilling decision-making and control.

Method used

A power module, a circuit assembly, a first measuring assembly, and a second measuring assembly are installed on the drill bit to measure the fluid pressure, drilling pressure, and torque inside and outside the drill bit, respectively. The circuit assembly is electrically connected to the power module to achieve direct measurement of the parameters.

Benefits of technology

It provides real parameters of the drill bit during drilling, such as vibration, rotation, drilling pressure, torque and fluid pressure, providing reliable data support for intelligent drilling decision-making and control, and reducing data ambiguity and risk.

✦ Generated by Eureka AI based on patent content.

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Abstract

The invention relates to a measuring device for drill bit parameters. The measuring device comprises a power module installed on a drill bit, a circuit assembly which is arranged on the drill bit and electrically connected with the power module, and a first measuring assembly and a second measuring assembly which are also installed on the drill bit. The first measuring assembly and the second measuring assembly are electrically connected with the power supply module through the circuit assembly. The first measuring assembly is configured to be capable of measuring fluid pressure inside and outside the drill bit, and the second measuring assembly is configured to be capable of at least measuring bit pressure and torque of the drill bit during drilling. The measuring device can directly obtain real engineering parameters, such as vibration, rotation, bit pressure, torque, fluid pressure and the like, at the position of a drill bit on the premise of an existing drilling tool combination structure and a directional construction process, and provides reliable data support for underground working condition diagnosis and intelligent optimization decision making.
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Description

Technical Field

[0001] This invention relates to the field of measurement technology, and more specifically to a measuring device for drill bit parameters. Background Technology

[0002] During drilling, the signal characteristics of parameters such as vibration, rotation, drilling pressure, and torque measured at different locations along the bottom of the drill string are significantly different due to the combined influence of wellbore structure, tubing string structure, formation properties, drilling parameters, and speed-up tools. Existing measuring devices are all installed upstream of the screw shaft connected to the drill bit, and the measured data from these devices cannot reflect the true working state of the drill bit. Developing intelligent drilling decision-making and control based on measured data obtained from upstream screw shaft measuring devices will lead to serious data ambiguity, resulting in extremely high unpredictability of implementation risks. Summary of the Invention

[0003] In view of the above-mentioned problems in the existing technology, the present invention provides a measuring device for drill bit parameters, which can directly obtain the parameters of the drill bit during drilling, and provide effective and reliable data support for carrying out intelligent drilling decision-making and control.

[0004] The technical solution adopted by this invention to solve its technical problem is: to provide a measuring device for drill bit parameters, comprising,

[0005] The power module is installed on the drill bit;

[0006] A circuit assembly is electrically connected to the power module on the drill bit;

[0007] A first measuring component and a second measuring component are mounted on the drill bit and electrically connected to the power module via a circuit component. The first measuring component is configured to measure the fluid pressure inside and outside the drill bit, and the second measuring component is configured to measure at least the drilling pressure and torque of the drill bit during drilling.

[0008] Furthermore, the power module includes a mounting slot disposed within the drill bit, and a mounting cover is provided on the mounting slot for sealing and fixing the power module.

[0009] Furthermore, the circuit assembly includes a first circuit module, a second circuit module, and a third circuit module electrically connected to the first circuit module and the second circuit module, the third circuit module being configured to measure the vibration and rotational speed of the drill bit.

[0010] Furthermore, the first circuit module and the second circuit module are respectively disposed in the first circuit slot and the second circuit slot of the drill bit, and wire holes are provided between the first circuit slot and the second circuit slot and the mounting slot so that the first circuit module and the second circuit module are electrically connected to the power supply module.

[0011] Furthermore, the third circuit module is installed in the third circuit slot of the drill bit, and a wire hole is provided between the third circuit slot and the first circuit slot and the second circuit slot so that the first circuit module and the second circuit module are electrically connected to the third circuit module.

[0012] Furthermore, the first measuring component includes a first pressure sensor and a second pressure sensor electrically connected to the first circuit module and the second circuit module, respectively. The first pressure sensor is configured to measure the fluid pressure inside the drill bit, and the second pressure sensor is configured to measure the fluid pressure between the drill bit and the wellbore.

[0013] Furthermore, the first pressure sensor is installed in the first receiving groove of the drill bit, and the bottom of the first receiving groove has a first through hole that connects to the flow channel of the drill bit.

[0014] Furthermore, a second receiving cover is provided at the second receiving slot, and a second through hole is provided on the second receiving cover so that the second receiving slot can communicate with the annulus between the drill bit and the well wall.

[0015] Furthermore, the second measuring component includes a first strain gauge, a second strain gauge, a third strain gauge, and a fourth strain gauge arranged along the circumferential direction of the drill bit. The first strain gauge and the third strain gauge are electrically connected to form a Wheatstone bridge for measuring drill pressure or torque. The second strain gauge and the fourth strain gauge are electrically connected to form a Wheatstone bridge for measuring drill pressure or torque.

[0016] Furthermore, the first strain gauge, the second strain gauge, the third strain gauge, and the fourth strain gauge each include two strain gauges arranged in a cross pattern, with the sensitive grids of the two strain gauges crossing at 90° or 45°.

[0017] The beneficial effects of this invention are as follows: This invention provides a measuring device for drill bit parameters, comprising a power module mounted on the drill bit, a circuit assembly electrically connected to the power module on the drill bit, and a first measuring component and a second measuring component also mounted on the drill bit. The first and second measuring components are electrically connected to the power module via the circuit assembly. The first measuring component is configured to measure the fluid pressure inside and outside the drill bit, and the second measuring component is configured to measure at least the drilling pressure and torque of the drill bit during drilling. This measuring device can directly obtain real engineering parameters at the drill bit location, such as vibration, rotation, drilling pressure, torque, and fluid pressure, under the premise of existing drill string assembly structures and directional drilling processes, providing reliable data support for downhole condition diagnosis and intelligent optimization decision-making. Attached Figure Description

[0018] The present invention will be further described below with reference to the accompanying drawings and embodiments.

[0019] Figure 1 The diagram shown is a schematic representation of a device for measuring drill bit parameters from one perspective.

[0020] Figure 2 As shown Figure 1 A schematic diagram of the measuring device from another perspective.

[0021] Figure 3 As shown Figure 2 The measurement device AA shown is a cross-sectional view of its structure.

[0022] Figure 4 As shown Figure 2 The measurement device BB shown is a cross-sectional view of its structure.

[0023] Figure 5 As shown Figure 2 The measuring device shown is a cross-sectional view of the CC structure.

[0024] Figure 6 As shown Figure 2 A schematic diagram of the measuring device shown from the same viewing angle.

[0025] Figure 7 As shown Figure 6 The measuring device DD shown is a cross-sectional view of its structure.

[0026] Figure 8 As shown Figure 6 The measurement device EE shown is a cross-sectional view.

[0027] In the figures, the reference numerals are as follows: 100, measuring device; 10, power supply module; 20, circuit assembly; 21, first circuit module; 22, second circuit module; 23, third circuit module; 30, first measuring component; 31, first pressure sensor; 32, second pressure sensor; 40, second measuring component; 41, first strain gauge; 42, second strain gauge; 43, third strain gauge; 44, fourth strain gauge.

[0028] 200. Drill bit; 50. Mounting slot; 51. Mounting cover; 61. First circuit slot; 611. First sealing cover; 62. Second circuit slot; 621. Second sealing cover; 63. Third circuit slot; 631. Third sealing cover; 71. First receiving slot; 711. First receiving cover; 72. Second receiving slot; 721. Second receiving cover; 81. First mounting slot; 82. Second mounting slot; 83. Third mounting slot; 84. Fourth mounting slot; 85. Cover plate; 86. Wire hole; 861. First wire hole; 862. Second wire hole; 863. Third wire hole; 864. Fourth wire hole; 91. First through hole; 92. Second through hole. Detailed Implementation

[0029] To make the technical problem to be solved, the technical solution, and the beneficial effects of this invention clearer, the invention will now be described in detail with reference to the accompanying drawings. This drawing is a simplified schematic diagram, illustrating only the basic structure of the invention, and therefore only shows the components relevant to the invention. Obviously, the described embodiments are only some, not all, of the embodiments of this invention. All other embodiments obtained by those skilled in the art based on the embodiments of this invention without creative effort are within the scope of protection of this invention.

[0030] refer to Figure 1-8 As shown, the present invention provides a measuring device 100 for drill bit parameters, comprising a power module 10 mounted on a drill bit 200, a circuit assembly 20 electrically connected to the power module 10, and a first measuring assembly 30 and a second measuring assembly 40 electrically connected to the circuit assembly 20. The first measuring assembly 30 is configured to measure the fluid pressure inside and outside the drill bit 200 under the electrical drive of the power module 10 and the control of the circuit assembly 20, while the second measuring assembly 40 is configured to measure the drilling pressure and / or torque of the drill bit 200 during rock breaking at the bottom of the well, under the electrical drive of the power module 10 and the control of the circuit assembly 20. The circuit assembly 20 integrates, but is not limited to, vibration measuring circuits and rotation measuring circuits, to measure the vibration and rotation parameters of the drill bit 200 during drilling via sensors electrically connected to the circuit assembly 20. The drill bit 200 is provided with several mounting structures for sealingly mounting the power module 10, the circuit assembly 20, and the first and second measuring assemblies 30 and 40.

[0031] Combination Figure 1 , Figure 3-5 As shown, in some embodiments, the power module 10 is disposed within the mounting slot 50 of the drill bit 200. The battery used in the power module 10 can be a dry cell battery or a rechargeable battery. The power module 10 may include one or more cylindrical batteries or button batteries, and multiple cylindrical batteries or button batteries may be connected in series or parallel. A mounting cover 51 is also provided at the opening of the mounting slot 50 for fixing the power module 10 within the mounting slot 50. A silicone or rubber seal (not shown in the figure) is provided on the side of the mounting cover 51 facing the mounting slot 50 to seal the mounting slot 50, preventing drilling fluid from the bottom of the well from entering the mounting slot 50, thereby avoiding short-circuit failure of the power module 10. The mounting cover 51 can be fixed to the drill bit 200 by bolts.

[0032] Combination Figure 3 and Figure 4 As shown, in some embodiments, the circuit assembly 20 includes a first circuit module 21, a second circuit module 22, and a third circuit module 23 respectively disposed in the first circuit slot 61, the second circuit slot 62, and the third circuit slot 63 of the drill bit 200. The first circuit module 21 and the second circuit module 22 integrate, but are not limited to, power management circuits, control circuits, strain measurement circuits, and storage circuits, for realizing functions such as power control, behavior control, data acquisition, and data storage. The third circuit module 23 integrates, but is not limited to, vibration measurement circuits, rotation measurement circuits, and communication circuits, for measuring the vibration and drilling speed of the drill bit 200, and for realizing communication with a host computer. It should be noted that the circuits integrated in each of the first circuit module 21, the second circuit module 22, and the third circuit module 23 are not strictly limited; the above-described circuit allocation is only for illustrative purposes and not absolute, and can actually be customized according to specific circumstances.

[0033] In some embodiments not shown, the third circuit module 23 is also provided with a drilling communication module for transmitting various measured engineering parameters to the ground in real time during the drilling process of the drill bit 200.

[0034] Understandably, the openings of the first circuit slot 61, the second circuit slot 62, and the third circuit slot 63 are respectively provided with a first sealing cover 611, a second sealing cover 621, and a third sealing cover 631, which are used to isolate the first circuit module 21, the second circuit module 22, and the third circuit module 23 from the external drilling fluid, so as to ensure the reliability of the first circuit module 21, the second circuit module 22, and the third circuit module 23.

[0035] Combined again Figure 2 and Figure 4As shown, in some embodiments, the mounting groove 50, the first circuit groove 61, the second circuit groove 62, and the third circuit groove 63 are generally located in the same radial plane of the drill bit 200 body, and the mounting groove 50, the first circuit groove 61, the second circuit groove 62, and the third circuit groove 63 are evenly arranged in the circumferential direction. This can effectively ensure the strength of the drill bit 200 body and avoid uneven stress distribution in the drill bit 200 body during drilling.

[0036] Combination Figure 4 and Figure 5 As shown, in some embodiments, wire holes 86 are provided between the first circuit slot 61 and the second circuit slot 62 and the mounting slot 50 for wires electrically connecting the first circuit module 21 and the power module 10, as well as the second circuit module 22 and the power module 10, to pass through. Wire holes 86 are also provided between the first circuit slot 61 and the second circuit slot 62 and the third circuit slot 63 for wires electrically connecting the first circuit module 21 and the third circuit module 23, as well as the second circuit module 22 and the third circuit module 23, to pass through.

[0037] Combination Figure 6 and Figure 7 As shown, in some embodiments, the first measuring component 30 includes a first pressure sensor 31 for measuring the fluid pressure inside the drill bit 200, and a second pressure sensor 32 for measuring the fluid pressure between the drill bit 200 and the wellbore. The first pressure sensor 31 is electrically connected to a first circuit module 21 via a wire, and the second pressure sensor 32 is electrically connected to a second circuit module 22 via a wire. The first pressure sensor 31 is installed in a first receiving slot 71 of the drill bit 200, and a first wiring hole 861 is provided between the first receiving slot 71 and the first circuit slot 61 for the wire between the first pressure sensor 31 and the first circuit module 21 to pass through. The second pressure sensor 32 is installed in a second receiving slot 72 of the drill bit 200, and a second wiring hole 862 is provided between the second receiving slot 72 and the second circuit slot 62 for the wire between the second pressure sensor 32 and the second circuit module 22 to pass through. A first receiving cover 711 and a second receiving cover 721 are respectively provided at the opening of the first receiving groove 71 and the second receiving groove 72, for sealing and fixing the first pressure sensor 31 and the second pressure sensor 32 within the first receiving groove 71 and the second receiving groove 72. Preferably, the first pressure sensor 31 and the second pressure sensor 32 are also provided with sealing elements so as to form a seal with the groove walls of the first receiving groove 71 and the second receiving groove 72.

[0038] A first through hole 91 is provided at the bottom of the first receiving groove 71, connecting to the flow channel of the drill bit 200, so that the first pressure sensor 31 can measure and obtain the fluid pressure in the flow channel of the drill bit 200 through the first through hole 91. A second through hole 92 is provided on the second receiving cover 721, so that the second receiving groove 72 and the annulus between the drill bit 200 and the well wall are connected. This allows the second pressure sensor 32 to measure and obtain the fluid pressure in the annulus through the second through hole 92.

[0039] Combination Figure 6 and Figure 8 As shown, in some embodiments, the second measuring component 40 includes a first strain gauge 41, a second strain gauge 42, a third strain gauge 43, and a fourth strain gauge 44 uniformly arranged along the circumferential direction of the drill bit 200. The first strain gauge 41, the second strain gauge 42, the third strain gauge 43, and the fourth strain gauge 44 are respectively attached to the bottom of the first groove 81, the second groove 82, the third groove 83, and the fourth groove 84 of the drill bit 200. A third wire hole 863 is provided between the first groove 81 and the fourth groove 84 and the first circuit groove 61 for electrically connecting the first strain gauge 41 and the first circuit module 21, and for the wires of the fourth strain gauge 44 and the first circuit module 21 to pass through. A fourth wire hole 864 is provided between the second groove 82 and the third groove 83 and the second circuit groove 62 for electrically connecting the second strain gauge 42 and the second circuit module 22, and for the wires of the third strain gauge 43 and the second circuit module 22 to pass through. Cover plates 85 are also provided at the openings of the first groove 81, the second groove 82, the third groove 83 and the fourth groove 84 to seal the first strain element 41, the second strain element 42, the third strain element 43 and the fourth strain element 44 in each groove.

[0040] The first strain gauge 41 and the third strain gauge 43 are electrically connected to the power supply module 10 through the first circuit module 21 and the second circuit module 22, respectively, forming a Wheatstone bridge. Similarly, the second strain gauge 42 and the fourth strain gauge 44 are also electrically connected to the power supply module 10 through the first circuit module 21 and the second circuit module 22, respectively, forming another Wheatstone bridge. This allows the drilling pressure and torque of the drill bit 200 during drilling to be converted into electrical signals via two Wheatstone bridges, and decoupled according to a preset algorithm and program to obtain the actual drilling pressure and torque of the drill bit 200 during drilling.

[0041] In some embodiments, to measure the actual drilling pressure of the drill bit 200 during drilling, a Wheatstone bridge can be formed by a first strain gauge 41 and a third strain gauge 43, or a second strain gauge 42 and a fourth strain gauge 44. Each of the first strain gauge 41, the third strain gauge 43, the second strain gauge 42, and the fourth strain gauge 44 includes two strain gauges with sensitive grids intersecting at 90°.

[0042] In some embodiments, to measure the actual torque of the drill bit 200 during drilling, a Wheatstone bridge can be formed by a first strain gauge 41 and a third strain gauge 43, or a second strain gauge 42 and a fourth strain gauge 44. Each of the first strain gauge 41, the third strain gauge 43, the second strain gauge 42, and the fourth strain gauge 44 includes two strain gauges with sensitive grids intersecting at 45°.

[0043] In some embodiments, to simultaneously measure the actual drill pressure and actual torque of the drill bit 200 during drilling, a Wheatstone bridge for measuring actual drill pressure is formed by a first strain gauge 41 and a third strain gauge 43 with their sensitive grids intersecting at 90°, and a Wheatstone bridge for measuring actual torque is formed by a second strain gauge 42 and a fourth strain gauge 44 with their sensitive grids intersecting at 45°. Alternatively, a Wheatstone bridge for measuring actual torque is formed by a first strain gauge 41 and a third strain gauge 43 with their sensitive grids intersecting at 45°, and a Wheatstone bridge for measuring actual drill pressure is formed by a second strain gauge 42 and a fourth strain gauge 44 with their sensitive grids intersecting at 90°.

[0044] Combination Figure 1-8 As shown, the mounting structures such as the mounting slot 50, the first circuit slot 61, and the first receiving slot 71 on the drill bit 200 can be machined by turning and milling during the manufacturing of the drill bit 200, or they can be machined by turning and milling to modify an existing conventional drill bit 200. All mounting structures are located on the main body of the drill bit 200 to accurately obtain parameters such as vibration, rotation, drilling pressure, and torque of the drill bit 200 during drilling, while ensuring the overall strength of the drill bit 200.

[0045] Combination Figure 1-8 As shown, the measuring device 100 for drill bit parameters provided by the present invention, in use, firstly connects the power module 10 to the first circuit module 21, the second circuit module 22, and the third circuit module 23. Then, the measuring device 100 is electrically connected to the host computer through the third circuit module 23 to initialize the measuring device 100. After initialization, the electrical connection between the third circuit module 23 and the host computer is disconnected. Finally, the mounting cover 51, the first sealing cover 611, and the first receiving cover 711 are installed on the drill bit 200, isolating the power module 10, circuit components 20, etc., from the outside world to ensure the reliability of the measuring device 100.

[0046] Once the measuring device 100 meets the set start-up conditions, the first circuit module 21, the second circuit module 22, and the third circuit module 23 begin operation. Together with the first measuring component 30 and the second measuring component 40, they collect and store parameters such as vibration, rotational speed, drilling pressure, torque, and fluid pressure of the drill bit 200 during drilling. After the measurement is completed, the host computer and the third circuit module 23 are electrically connected to read and export the parameter data stored in the measuring device 100. Finally, the power module 10 is disconnected from the electrical connections of the first circuit module 21, the second circuit module 22, and the third circuit module 23, and the measuring device 100 is subjected to routine maintenance, ready for the next use.

[0047] In the description of this invention, it should be noted that, unless otherwise explicitly specified and limited, the terms "installation," "connection," and "joining" should be interpreted broadly. For example, they can refer to a fixed connection, a detachable connection, or an integral connection; they can refer to a mechanical connection; they can refer to a direct connection or an indirect connection through an intermediate medium; they can refer to the internal communication of two components or the interaction between two components. Those skilled in the art can understand the specific meaning of the above terms in this invention according to the specific circumstances.

[0048] It should be understood that the terms "length", "width", "up", "down", "front and back", "left and right", "vertical", "horizontal", "top", "bottom", "inner", "outer", etc., indicate the orientation or positional relationship based on the orientation or positional relationship shown in the accompanying drawings. They are only for the convenience of describing the present invention and simplifying the description, and are not intended to indicate or imply that the device or element referred to must have a specific orientation, or be constructed and operated in a specific orientation. Therefore, they should not be construed as limitations on the present invention.

[0049] Although the invention has been described with reference to preferred embodiments, various modifications can be made and components can be replaced with equivalents without departing from the scope of the invention. In particular, the technical features mentioned in the various embodiments can be combined in any manner as long as there is no structural conflict. The invention is not limited to the specific embodiments disclosed herein, but includes all technical solutions falling within the scope of the claims.

Claims

1. A measuring device for drill bit parameters, comprising, A power module (10) is mounted on the drill bit (200); The circuit assembly (20) is electrically connected to the power module (10) on the drill bit (200); A first measuring component (30) and a second measuring component (40) are mounted on the drill bit (200) and electrically connected to the power module (10) via a circuit component (20). The first measuring component (30) is configured to measure the fluid pressure inside and outside the drill bit (200), and the second measuring component (40) is configured to measure at least the drilling pressure and torque of the drill bit (200) during drilling.

2. The measuring device for drill bit parameters according to claim 1, characterized in that, The power module (10) includes a mounting groove (50) disposed in the drill bit (200), and a mounting cover (51) is provided on the mounting groove (50) for sealingly fixing the power module (10).

3. The measuring device for drill bit parameters according to claim 2, characterized in that, The circuit assembly (20) includes a first circuit module (21), a second circuit module (22), and a third circuit module (23) electrically connected to the first circuit module (21) and the second circuit module (22), the third circuit module (23) being configured to measure the vibration and rotational speed of the drill bit (200).

4. The measuring device for drill bit parameters according to claim 3, characterized in that, The first circuit module (21) and the second circuit module (22) are respectively disposed in the first circuit slot (61) and the second circuit slot (62) of the drill bit (200). A wire hole (86) is provided between the first circuit slot (61) and the second circuit slot (62) and the mounting slot (50) so that the first circuit module (21) and the second circuit module (22) are electrically connected to the power module (10).

5. The measuring device for drill bit parameters according to claim 3, characterized in that, The third circuit module (23) is installed in the third circuit slot (63) of the drill bit (200). A wire hole (86) is provided between the third circuit slot (63) and the first circuit slot (61) and the second circuit slot (62) so that the first circuit module (21) and the second circuit module (22) are electrically connected to the third circuit module (23).

6. The measuring device for drill bit parameters according to claim 3, characterized in that, The first measuring component (30) includes a first pressure sensor (31) and a second pressure sensor (32) electrically connected to the first circuit module (21) and the second circuit module (22), respectively. The first pressure sensor (31) is configured to measure the fluid pressure inside the drill bit (200), and the second pressure sensor (32) is configured to measure the fluid pressure between the drill bit (200) and the well wall.

7. The measuring device for drill bit parameters according to claim 6, characterized in that, The first pressure sensor (31) is installed in the first receiving groove (71) of the drill bit (200), and the bottom of the first receiving groove (71) is provided with a first through hole (91) that connects to the flow channel of the drill bit (200).

8. The measuring device for drill bit parameters according to claim 6, characterized in that, A second receiving cover (721) is provided at the second receiving groove (72), and a second through hole (92) is provided on the second receiving cover (721) so that the second receiving groove (72) communicates with the annulus between the drill bit (200) and the well wall.

9. The measuring device for drill bit parameters according to any one of claims 1-8, characterized in that, The second measuring component (40) includes a first strain element (41), a second strain element (42), a third strain element (43), and a fourth strain element (44) arranged along the circumferential direction of the drill bit (200). The first strain element (41) and the third strain element (43) are electrically connected to form a Wheatstone bridge for measuring drill pressure or torque, and the second strain element (42) and the fourth strain element (44) are electrically connected to form a Wheatstone bridge for measuring drill pressure or torque.

10. The measuring device for drill bit parameters according to claim 9, characterized in that, The first strain gauge (41), the second strain gauge (42), the third strain gauge (43) and the fourth strain gauge (44) each include two strain gauges arranged in a cross pattern, with the sensitive grids of the two strain gauges crossing at 90° or 45°.