###### Abstract
Mud-lifting circulation was achieved without wellbore stability or shallow hazard issues, and no mud contamination occurred. [PERSON] et al. [14] introduced a design method for oil wells and used casing drilling to eliminate the need for multiple deep-water riserless series connections, enabling the high-pressure wellhead casing and its conductors to be set deeper. In the land and shallow sea environment, the practice of casing drilling has become very mature to improve drilling efficiency and reduce drilling hazards. RMR technology was also applied to achieve the successful cementing of the surface casing in the Malikai deepwater field in Sabah, Malaysia [15]. A model was devised to measure the bottomhole pressure of the RMR system during gas intrusion conditions using the gas-liquid two-phase flow theory [16]. In the Gulf of Mexico, RMR was initially implemented, leading to an enhanced improved operational efficiency and better wellbore structure [17]. The successful commercial application of dual-gradient drilling was first achieved in the ultra-deepwater Gulf of Mexico [18]. In the UK Continental Shelf (UKCS) oil-field development project, a RMR top-hole operation was employed for the first time [19]. Riserless dual-gradient technology was used for drilling highly deviated wells in the Santos Basin offshore Brazil, addressing issues related to formation erosion and wellbore collapse [20]. RMR has been utilized offshore multiple times, successfully resolving problems of loose sandstone soil and deepening surface casing, completing over 40 wells with a water depth of 450 m [21; 22; 23]. When drilling in overpressured zones [24; 25; 26; 27], RMR can also compensate for the absence of a riser and blowout preventer (BOP). It has been utilized successfully in various offshore areas with loose formations and losses. Mud pumps for drilling have also been studied by some researchers, in addition to RMR technology. In order to develop a system to monitor their technical conditions, [PERSON] et al. [28] investigated these pumps under operational conditions. [PERSON] et al. [29] presented a practical diagnosis method that could effectively improve the fault diagnosis level for the fluid end of high-pressure reciprocating mud pumps. [PERSON] al. [30] utilized analytical studies and finite element methods to examine how different loading conditions impact the behaviors of mud pumps. [PERSON] et al. [31] investigated mud pumps to develop an effective diagnostic tool that could help pump operators with their daily maintenance routines. ANSYS is a large-scale general-purpose finite element analysis software that can simulate and optimize a wide range of complex engineering problems. In this paper, pumps are analyzed using the ANSYS software. Additionally, the ANSYS software has numerous applications in other fields. ANSYS software was used by [PERSON] et al. [32] to numerically model and evaluate the performance of a standing-wave thermoacoustic refrigerator with multiple stacks. The ANSYS Fluent software package was used by [PERSON] et al. [33] to conduct mathematical modeling of vertical axis wind turbines. ANSYS Fluent software was used by [PERSON] et al. [34] to numerically simulate the phase transition process. [PERSON] et al. [35] used ANSYS and ANSYS pre-processor/post-processor composite material to create the layered composite material structure described in the article. [PERSON] et al. [36] used ANSYS software to perform numerical simulation analysis of three-dimensional reinforced concrete beams under various collapse mechanisms. However, few scholars have conducted analytical studies on the stability of mud pumps and their manifold connection employed in RMR technology, which is the core condition for the stable operation of RMR in the deep sea. During the drilling process, the deepwater RMR pump is mounted using a mid-hanging configuration, which results in reverse torque and vibration during normal operation.