Composite casing pipe lifted and restrained by lifting rope
By using composite material casing and a lifting cable restraint system, the high cost problem in deep and ultra-deep wells has been solved, achieving the effects of reducing cementing costs and improving cementing quality.
Patent Information
- Authority / Receiving Office
- CN · China
- Patent Type
- Utility models(China)
- Current Assignee / Owner
- Filing Date
- 2025-05-13
- Publication Date
- 2026-03-20
AI Technical Summary
In deep and ultra-deep well drilling and completion, traditional steel casing is costly and accounts for a large proportion of the total expenditure. How can we provide a composite material casing that can save costs while ensuring cementing quality?
The composite material pipe is used to achieve rapid connection through quick-connect joints. Multiple lifting cables are used to bear the suspended weight and constrain the composite material pipe. Combined with the design of annular support and lug pin, the cementing quality is improved. The strength is increased by corrosion-resistant polymer materials and steel wire mesh structure.
It reduces cementing and transportation costs, improves cementing quality and casing efficiency. The composite casing is corrosion-resistant, lightweight, and simplifies operation through quick-connect fittings, avoiding accidental derailment.
Smart Images

Figure CN224017178U_ABST
Abstract
Description
TECHNICAL FIELD
[0001] The utility model relates to oil and gas drilling technology field more specifically relates to a kind of composite casing hoisted and restrained with lifting cable. BACKGROUND
[0002] In the oil and gas well drilling completion, especially in deep well drilling completion, to avoid operation risk and ensure wellbore integrity, generally need to lower multilayer casing and cementing, the upper section of deep well has excessive protection. Traditional steel casing cost is high, in deep well drilling completion expenditure, casing expenditure often accounts for more than 20%. Controlling casing expenditure, especially the casing expenditure of upper section, is of great significance to control the cost of deep well drilling completion.
[0003] Therefore, how to provide a kind of composite casing which can save cost and ensure cementing quality is a problem that the person skilled in the art needs to solve urgently. UTILITY MODEL CONTENT
[0004] Therefore, the utility model provides a kind of composite casing hoisted and restrained with lifting cable, to solve the above technical problem.
[0005] In order to achieve the above purpose, the utility model adopts the following technical solutions:
[0006] A kind of composite casing hoisted and restrained with lifting cable, comprising:
[0007] Composite pipe, the composite pipe is connected by quick connecting joint, the outer wall of the composite pipe has annular support of integral molding;
[0008] Lifting cable, the number of the lifting cable is multiple, multiple lifting cable is arranged on the outer side of the composite pipe, and both ends are tensioned and connected between adjacent two quick connecting joints;Multiple lifting cable is restrained by the ear seat latch on the annular support.
[0009] Through the above technical solutions, the utility model provides a kind of composite casing hoisted and restrained with lifting cable, in well, lifting cable is in the state of tension, bears the suspended weight of casing string, and simultaneously restraints composite pipe in the range defined by multiple lifting cable;The length of lifting cable in the state of tension is carefully designed, so that composite pipe is exempted from tension;Multiple lifting cable in the state of tension acts as reinforcing bar, which helps to improve cementing quality;The composite casing is convenient to connect, corrosion-resistant, low in cost, and can significantly reduce cementing cost;Composite pipe is light in weight, and transportation cost can also be saved.
[0010] Preferably, in the composite pipe hoisted and restrained by the lifting ropes, the composite pipe is made of single or multiple layers of polymer material with temperature resistance of over 100 DEG C, and contains a steel wire mesh structure to improve the strength; the composite pipe is corrosion resistant and low in cost.
[0011] Preferably, in the composite pipe hoisted and restrained by the lifting ropes, the lifting ropes can be hoisting chains or steel wires, and the hoisting chains are preferred; the lifting ropes are used to hoist the composite pipe; after two adjacent composite pipes are connected by the quick connection joints, the composite pipe is seated in the sleeve of the quick connection joint below; in the well, the lifting ropes are in tension and bear the dead weight of the pipe string; multiple lifting ropes restrain the composite pipe within the range defined by the lifting ropes; the length of the lifting ropes in tension is designed to prevent the composite pipe from being subjected to tension.
[0012] Preferably, in the composite pipe hoisted and restrained by the lifting ropes, the annular supports are integrally formed on the outer wall of the composite pipe, one annular support is located at the middle of the composite pipe, and the other annular support is located at the bottom of the composite pipe; the annular supports have multiple pairs of double-leaf ear seats arranged at intervals, the double-leaf ear seats are used to install ear seat pins, and the lifting ropes restrain the composite pipe by means of the ear seat pins; the annular supports also have the effect of reinforcing the composite pipe and improving the strength of the composite pipe; when the composite pipe is laid on the ground, the annular supports protect the composite pipe body and protect and restrain the lifting ropes, so that the lifting ropes are basically maintained in a straight line; the positions of the ear seat pins are designed to prevent the ear seat pins from interfering with the tension of the lifting ropes and to prevent the ear seat pins from being subjected to longitudinal tension.
[0013] Preferably, in the composite pipe hoisted and restrained by the lifting ropes, the quick connection joints are made of metal, and the outer wall of the quick connection joints has multiple lifting rope pin supports uniformly distributed; the lifting rope pin supports are used to install the upper lifting rope pins and the lower lifting rope pins; the top end of the lifting rope is hung on the lower lifting rope pin by a ring buckle; the length of the lifting rope and the positions of the upper lifting rope pins and the lower lifting rope pins are designed to allow the upper lifting rope pins to easily pass through the ring buckle at the bottom end of the lifting rope when the composite pipe is connected at the wellhead; when the lifting rope is in tension in the well, the composite pipe is not subjected to tension, and the top end of the composite pipe is in contact with the sealing gasket in the quick connection joint to play a sealing role; the number of the lifting rope pin supports is the same as the number of the lifting ropes.
[0014] Preferably, in the composite pipe hoisted and restrained by the lifting rope as described above, each of the two ends of each of the composite pipes has an integrally formed joint segment in the shape of an arc-shaped neck, which is matched with the quick connector to realize the quick connection of the composite pipe with the quick connector. The joint segment has two sealing rings respectively, which, together with the sealing pad inside the quick connector, prevent the drilling fluid in the composite pipe from leaking outwards and prevent the annular fluid from entering the composite pipe.
[0015] Preferably, in the composite pipe hoisted and restrained by the lifting rope as described above, the quick connector comprises a sleeve and a handle-type quick connector, the joint segment of the composite pipe is inserted into the sleeve, the outer wall of the sleeve is uniformly provided with a plurality of connector supports, the number of the connector supports is the same as that of the lifting rope bolt supports and they are alternately distributed; the handle-type quick connector comprises an integrally formed locking head and a handle, the locking head is hinged to the connector support through a hinge pin; the working end of the locking head is also in the shape of an arc, the locking head can pass through the sleeve to engage or disengage with the arc-shaped neck of the joint segment; the handle is turned to the direction perpendicular to the axis of the sleeve, so that the joint segment of the composite pipe can enter the sleeve; the handle is turned in the opposite direction, so that the working end of the locking head engages with the arc-shaped neck to realize the quick connection of the composite pipe with the quick connector.
[0016] Preferably, in the composite pipe hoisted and restrained by the lifting rope as described above, the handle locking assembly comprises a handle lock pin and a spring; the connector support is provided with a handle lock pin mounting hole, the handle lock pin is mounted in the handle lock pin mounting hole and arranged in parallel with the hinge pin; the end of the handle lock pin is designed as an inclined surface, the outer wall of the handle lock pin has a radially protruding stop rib, the spring is coaxially sleeved on the outer side of the handle lock pin and tightly pressed between the handle lock pin mounting hole and the stop rib; the handle is provided with a handle lock pin hole. When the handle is pressed towards the inclined surface of the end of the handle lock pin, the handle lock pin is pressed towards the handle lock pin mounting hole; after the handle is pressed into place, the spring automatically pushes the handle lock pin into the handle lock hole to realize the locking of the handle and prevent the handle from being accidentally turned.
[0017] Preferably, in the composite pipe hoisted and restrained by the lifting rope as described above, the number of the connector supports is the same as that of the lifting rope bolt supports, and they are uniformly and alternately distributed on the outer wall of the sleeve; in order to facilitate the rotation of the handle, the handle-type quick connector is mirror-symmetrically distributed at the upper and lower ends of the connector support.
[0018] Preferably, in the composite casing hoisted and restrained by the lifting ropes, the inner and outer walls of the composite pipe are roughened to enhance the adhesion of the cement to the composite pipe; the outer wall of the composite pipe is provided with integral spiral ribs to increase the strength of the composite pipe, increase the contact area of the composite pipe with the cement, improve the longitudinal support of the cement stone to the composite casing string, and ensure the well cementing quality; the composite material is lighter than the conventional steel casing, which can effectively reduce the weight of the casing, thereby saving transportation costs.
[0019] For the sake of simplicity, the quick connection joint can also be considered without the handle type quick connector, and the composite pipe joint segment is correspondingly not provided with the arc-shaped bottleneck, as shown in Figure 8 、 Figure 9 .
[0020] If the outer wall of the composite pipe is not provided with integral spiral ribs, the composite casing hoisted and restrained by the lifting ropes can also be used as a lightweight drill pipe.
[0021] Through the above technical solutions, compared with the prior art, the composite casing hoisted and restrained by the lifting ropes has the following beneficial effects:
[0022] 1. The composite casing of the utility model applies multiple lifting ropes in a taut state to bear the suspended weight of the casing string in the well, so that the composite pipe is free from tension; the lifting ropes in the taut state act as reinforcing bars, which helps to improve the well cementing quality.
[0023] 2. The composite casings are quickly connected through the quick connection joint, which can simplify the "make-up" operation and improve the casing running efficiency; the design of the handle type quick connector and the handle locking assembly makes the connection between the quick connection joint and the composite pipe efficient and reliable, and avoids accidental tripping during casing running.
[0024] 3. The composite pipe and the composite casing are corrosion-resistant, lightweight, and low-cost, which can significantly reduce the weight and suspended weight of the casing string, reduce the manufacturing cost and transportation cost of the composite casing, and thus reduce the well cementing cost. BRIEF DESCRIPTION OF DRAWINGS
[0025] In order to more clearly illustrate the technical solutions in the embodiments of the utility model or the prior art, the drawings needed in the embodiment or prior art description will be briefly introduced below. Obviously, the drawings in the following description are only embodiments of the utility model, and those skilled in the art can obtain other drawings according to the provided drawings without creative labor.
[0026] Figure 1The drawing is a structural schematic view of a composite sleeve provided by the present application.
[0027] Figure 2 The drawing is a structural view of a composite pipe provided by the present application.
[0028] Figure 3 The drawing is a structural schematic view of a quick connection joint provided by the present application.
[0029] Figure 4 The drawing is a structural schematic view of a composite sleeve column provided by the present application.
[0030] Figure 5 The drawing is Figure 4 The drawing is an enlarged view of section A.
[0031] Figure 6 The drawing is a structural schematic view of a handle type quick connector provided by the present application.
[0032] Figure 7 The drawing is a structural schematic view of a handle locking assembly provided by the present application.
[0033] Figure 8 The drawing is a structural schematic view of a quick connection joint of a handleless type quick connector provided by the present application.
[0034] Figure 9 The drawing is a structural schematic view of a composite pipe matched with the quick connection joint of the handleless type quick connector provided by the present application.
[0035] Wherein:
[0036] 1-composite pipe; 11-composite pipe joint section; 12-spiral-shaped convex rib; 13-sealing ring; 14-sealing gasket; 2-quick connection joint; 21-sleeve; 22-handle type quick connector; 221-locking head; 222-handle; 2221-handle lock pin hole; 223-hinge pin; 3-lifting rope; 4-annular support; 41-double-leaf ear seat; 42-ear seat plug pin; 43-bump; 5-lifting rope plug pin support; 51-lifting rope upper plug pin; 52-lifting rope lower plug pin; 6-connector support; 61-handle lock pin mounting hole; 7-handle locking assembly; 71-handle lock pin; 711-stop rib; 72-spring. DETAILED DESCRIPTION
[0037] With reference to the drawings of the embodiments of the present application, the technical solutions in the embodiments of the present application will be described clearly and completely. Obviously, the described embodiments are only part of the embodiments of the present application, rather than all the embodiments. Based on the embodiments of the present application, all the other embodiments obtained by those skilled in the art without creative work are within the scope of protection of the present application.
[0038] With reference to the drawings of the embodiments of the present application, the technical solutions in the embodiments of the present application will be described clearly and completely. Obviously, the described embodiments are only part of the embodiments of the present application, rather than all the embodiments. Based on the embodiments of the present application, all the other embodiments obtained by those skilled in the art without creative work are within the scope of protection of the present application. Figure 1 With reference to the drawings of the embodiments of the present application, the technical solutions in the embodiments of the present application will be described clearly and completely. Obviously, the described embodiments are only part of the embodiments of the present application, rather than all the embodiments. Based on the embodiments of the present application, all the other embodiments obtained by those skilled in the art without creative work are within the scope of protection of the present application. Figure 6 The present application discloses a composite sleeve lifted and restrained by lifting ropes, comprising:
[0039] The composite pipes 1 are connected quickly through the quick connection joints 2, and the outer wall of the composite pipe 1 has an annular support 4 integrally formed;
[0040] The lifting ropes 3 can be hoisting chains or steel wires, and a plurality of lifting ropes 3 are arranged around the outer side of the composite pipe 1, and the two ends of each lifting rope 3 are connected tightly between the adjacent two quick connection joints 2.
[0041] In order to further optimize the above technical solution, the outer wall of the annular support 4 has a plurality of double-leaf ear seats 41 arranged at intervals, the double-leaf ear seats 41 are used for installing ear seat bolts, and the plurality of lifting ropes 3 are restrained from the composite pipe 1 by means of the ear seat bolts 42.
[0042] In order to further optimize the above technical solution, the plurality of annular supports 4 are arranged at intervals along the axial direction of the composite pipe 1; in the embodiment, there are two annular supports 4, one is located in the middle of the composite pipe, and the other is located at the bottom of the composite pipe.
[0043] In order to further optimize the above technical solution, there is a protrusion 43 between the adjacent two double-leaf ear seats 41 on the outer wall of the annular support 4, the main functions of the protrusion 43 are to enhance the strength of the annular support and the composite pipe, and to provide support for the horizontally placed composite sleeve.
[0044] In order to further optimize the above technical solution, the quick connector 2 is made of metal, and the outer side wall has a plurality of evenly distributed halyard bolt supports 5 for installing the upper halyard bolt 51 and the lower halyard bolt 52, the top end of the halyard 3 is hung on the lower halyard bolt 52, and the upper halyard bolt 51 passes through the bottom end of the halyard 3. The length of the halyard 3 and the positions of the upper halyard bolt 51 and the lower halyard bolt 52 are carefully designed, so that when the composite pipe 1 is connected to the wellhead, the upper halyard bolt 51 can easily pass through the bottom end of the halyard. When the halyard 3 is in a taut state in the well, the composite pipe 1 is not under tension, and its top end is in contact with the sealing pad 14, playing a sealing role. The number of halyard bolt supports 5 is the same as the number of halyards 3.
[0045] In order to further optimize the above technical solution, the composite pipe 1 has an integrally formed joint section 11 at both ends, which is arc-shaped and neck-shaped, and cooperates with the quick connector 2 to realize quick connection of the composite pipe 1 and the quick connector 2.
[0046] In order to further optimize the above technical solution, as shown in Figure 3 The joint section 11 has two sealing rings 13 respectively, which, together with the sealing pad 14 inside the quick connector, prevent the drilling fluid in the composite pipe 1 from leaking outwards, and also prevent annulus fluid from entering the composite pipe 1.
[0047] In order to further optimize the above technical solution, the quick connector 2 includes a sleeve 21 and a handle type quick connector 22, the composite pipe joint section 11 is inserted into the sleeve 21, the outer side wall of the sleeve 21 has a plurality of connector supports 6 evenly distributed thereon, the number of connector supports 6 is the same as that of halyard bolt supports 5 and is staggered; the handle type quick connector 22 includes an integrally formed locking head 221 and a handle 222, the locking head is hinged to the connector support 6 through a hinge pin 223; the working end of the locking head 221 is also arc-shaped, and the locking head 221 can pass through the sleeve 21 to engage or disengage with the arc-shaped neck of the composite pipe joint section 11; the handle 222 is turned to a direction perpendicular to the axis of the sleeve 21, so that the composite pipe joint section 11 can enter the sleeve 21; the handle 222 is turned in the opposite direction, so that the working end of the locking head 221 engages with the arc-shaped neck, realizing quick connection of the composite pipe 1 and the quick connector 2.
[0048] In order to further optimize the above technical scheme, the handle type quick connector 22 further comprises a handle locking assembly 7, the handle locking assembly 7 comprising a handle locking pin 71 and a spring 72; the handle locking pin 71 is installed in the handle locking pin mounting hole 61 and is arranged in parallel with the hinge pin 223, the end of the handle locking pin 71 is beveled, the outer side wall of the handle locking pin 71 has a radially protruding stop rib 711, the spring 72 is coaxially sleeved on the outer side of the handle locking pin 71 and is tightly pressed between the handle locking pin mounting hole 61 and the stop rib 711, and the handle 222 is provided with a handle locking pin hole 2221; the handle locking pin 71 can be inserted into the handle locking pin hole 2221 under the action of the spring 72, so that the handle 222 is locked and accidental rotation of the handle 222 is prevented.
[0049] In order to further optimize the above technical scheme, the sealing pad 14 is arranged in the interior of the quick connection joint 2; after the completion of the quick connection of the two adjacent composite material pipe sleeves, the lower end surface of the composite material pipe 1 extrudes the sealing pad 14, and the upper end surface of the composite material pipe 1 touches the sealing pad 14; the sealing pad 14 and the sealing ring 13 jointly prevent the drilling fluid in the composite material pipe 1 from leaking outward and simultaneously prevent the annular space fluid from entering the composite material pipe 1.
[0050] In order to further optimize the above technical scheme, the number of the connector supports 6 is the same as the number of the lifting cable pin supports 5, and they are uniformly and alternately distributed on the outer side wall of the sleeve 21; in order to facilitate the rotation of the handle 222, the handle type quick connector 22 is mirror-distributed on the upper and lower ends of the connector supports 6.
[0051] In order to further optimize the above technical scheme, the inner and outer walls of the composite material pipe 1 are roughened to enhance the bonding force of the cement and the composite material pipe 1; the outer side wall of the composite material pipe 1 is integrally formed with a helical rib 12 to increase the strength of the composite material pipe 1, increase the contact area of the composite material pipe 1 and the cement, improve the longitudinal supporting force of the cement stone on the composite material sleeve string and ensure the cementing quality.
[0052] In order to further optimize the above technical scheme, the composite material pipe 1 is made of a single layer or multiple layers of high polymer material with a temperature resistance of more than 100 DEG C, and a steel wire mesh skeleton is contained in the pipe wall to improve the strength; the composite material pipe is corrosion-resistant and low in cost.
[0053] Referring to the accompanying drawings, Figure 8 to the accompanying drawings, Figure 9 For the sake of simplicity, the handle type quick connector 22 can also be considered not to be arranged, and the composite material pipe joint section 11 is correspondingly not provided with the arc-shaped bottleneck.
[0054] The embodiment of the utility model provides:
[0055] S1, the composite sleeve is transported to the well site. The single composite sleeve includes a composite pipe 1, a quick connection joint 2 and a plurality of lifting ropes 3. The quick connection joint 2 is installed at the top of the composite pipe 1.
[0056] S2, the composite sleeve is lifted to above the well mouth by using the special lifting rigging, is lowered into the well, is supported by a customized drilling rig sleeve support, and the special lifting rigging is removed from the quick connection joint 2.
[0057] S3, the next composite sleeve is lifted to above the well mouth by using the special lifting rigging, the composite pipe joint section is inserted into the sleeve of the quick connection joint supported above the rotary table, the handle is turned, the quick connection of the composite pipe and the quick connection joint is completed, the lower end ring of the lifting rope 3 is connected to the quick connection joint 2 by using the lifting rope pin 51, the composite sleeve string is slightly lifted by using the special lifting rigging, the drilling rig sleeve support is removed, the composite sleeve string is lowered, the top end of the composite sleeve string is stopped at about 1 meter above the rotary table, the composite sleeve string is supported by the customized drilling rig sleeve support, and the special lifting rigging is removed from the quick connection joint 2.
[0058] S4, the operation of S3 is repeated until the predetermined number of composite sleeves are all lowered into the well.
[0059] If the outer sidewall of the composite pipe 1 is not integrally formed with the spiral ribs 12, the composite sleeve lifted and restrained by the lifting rope can also be used as a lightweight drill pipe.
[0060] The various embodiments in the specification are described in a progressive manner, and each embodiment focuses on the difference from other embodiments. The same or similar parts between the various embodiments can be referred to each other. For the device disclosed by the embodiments, since it corresponds to the method disclosed by the embodiments, the description is relatively simple, and the related parts can be referred to the method part.
[0061] The above description of the disclosed embodiments enables a person skilled in the art to implement or use the present application. Various modifications to these embodiments will be apparent to those skilled in the art, and the general principles defined herein can be implemented in other embodiments without departing from the spirit or scope of the present application. Therefore, the present application will not be limited to the embodiments shown herein, but will conform to the widest scope consistent with the principles and novel features disclosed herein.
Claims
1. A composite material sleeve for lifting and restraining using a lifting cable, characterized in that, include: The composite material tube (1) is quickly connected to each other through a quick-connect fitting (2), and the outer wall of the composite material tube (1) has an integrally formed annular support (4). The lifting cable (3) consists of multiple lifting cables (3) arranged around the outside of the composite material pipe (1). The two ends of each lifting cable (3) are tensioned and connected between two adjacent quick connection joints (2). The multiple lifting cables in the tensioned state act as reinforcing bars, which helps to improve the cementing quality.
2. The composite material sleeve for lifting and restraining using a lifting cable according to claim 1, characterized in that, The outer wall of the annular support (4) has a number of spaced double-piece lugs (41), which are used to install lug pins (42). The multiple lifting cables (3) are constrained by the lug pins (42) to the composite material tube (1).
3. A composite material sleeve for lifting and restraining using a lifting cable according to claim 1, characterized in that, The outer wall of the quick-connect connector (2) has a plurality of radially protruding and spaced-apart lifting cable pin supports (5), which are used to install the upper lifting cable pin (51) and the lower lifting cable pin (52). The top end of the lifting cable (3) is suspended on the lower lifting cable pin (52), and the upper lifting cable pin (51) passes through the bottom end of the lifting cable (3).
4. A composite material sleeve for lifting and restraining using a lifting cable according to claim 1, characterized in that, Both ends of the composite material tube (1) have integrally formed connector sections (11). The connector sections (11) are in the shape of an arc-shaped bottleneck and cooperate with the quick-connect connector (2) to realize the quick connection of the composite material tube (1).
5. A composite material sleeve for lifting and restraining using a lifting cable according to claim 4, characterized in that, The quick-connect connector (2) is made of metal and includes a sleeve (21) and multiple integrally formed and evenly distributed connector supports (6); the handle-type quick connector (22) is mounted on the connector support (6) by means of a hinge pin (223) and can rotate around the hinge pin (223); the handle-type quick connector (22) includes an integrally formed locking head (221) and a handle (222), the working end of the locking head (221) is also arc-shaped; turn the handle (222) to a direction perpendicular to the axis of the quick-connect connector (2) so that the composite material pipe connector section (11) can enter the sleeve (21); turn the handle (222) in the opposite direction so that the working end of the locking head (221) engages with the arc-shaped bottleneck, thereby realizing the quick connection between the composite material pipe (1) and the quick-connect connector (2).
6. A composite material sleeve for lifting and restraining using a lifting cable according to claim 5, characterized in that, The handle-type quick connector (22) also includes a handle locking assembly (7). The connector support (6) has a handle locking pin mounting hole (61). The handle locking assembly (7) includes a handle locking pin (71) and a spring (72). The handle locking pin (71) is installed in the handle locking pin mounting hole (61) and is arranged parallel to the hinge pin (223). The end of the handle locking pin (71) is beveled, and its outer side wall has a radially protruding retaining rib (711). The spring (72) is coaxially sleeved on the outside of the handle locking pin (71) and presses against the handle locking pin mounting hole (61) and the retaining rib (711). The handle (222) has a handle locking pin hole (2221). The handle locking pin (71) can be inserted into the handle locking pin hole (2221) under the action of the spring (72) to achieve locking.
7. A composite material sleeve for lifting and restraining using a lifting cable according to any one of claims 5-6, characterized in that, The number of connector supports (6) is multiple, and two mirror-arranged handle-type quick connectors (22) are installed at the upper and lower ends of each connector support (6).
8. A composite material sleeve for lifting and restraining using a lifting cable according to claim 1, characterized in that, The outer wall of the composite material tube (1) has an integrally formed spiral rib (12).