We investigateed the effect of AgNPs@AuNPs/GO on the rheological and filtration properties of sodium-bentonite water based drilling muds (Na-bentonite WBDM) and compared the possible effects of graphene, graphene oxide (GO), and graphene oxide functionalized with gold nanoparticles (AuNPs/GO) on Na-bentonite WBDM. Graphene, AuNPs, AgNPs, GO, AuNPs/GO, and AgNPs@AuNPs/GO were initially synthesized, and subsequently subjected to scanning electron microscopy, tranmission electron microscopy, energy-dispersive X-ray analysis, reflection absoprtion infrared spectroscopy, and X-ray photoelectron spectroscopy characterization. At a rate of 0.0005% to 0.01% (w/v), synthesized and described nanoparticles were added to Na-bentonite WBDM. Rheological and filtration loss analyses of the nanomaterial-containing Na-bentonite WBDM were then performed following American Petroleum Institute Standards. According to the study’s findings, adding graphene and AgNPs/GO to drilling mud at varying rates did not have any influence on PV values when compared to spud mud; however, adding GO and AgNPs@AuNPs/GO had a positive effect of 67% and 33%. Furthermore, the addition of graphene, GO, AuNPs/GO, and AgNPs@AuNPs/GO increased the AV values by 17.6%, 44%, 18.75%, 26%, YP values; by 44.4%, 44%, 30%, 22%, 10 s values; by 55.5%, 33%, 30%, 66.6%, 10 min values; by 30.7%, 43%, 42%, 46%, filtration loss values; by 10%, 9.52%, 8.4%, 3.84%.