To　research　macroscopic　mass　transport　characteristics　of　porous　media,　a　lattice　Boltzmann　method　(LBM)　approach　was　utilized　to　calculate　asymptotic　longitudinal　mass　dispersion.　In　this　study,　a　D2Q9　model　with　multi-relaxation-time　(MRT)　collision　operator,　which　is　appropriate　for　incompressible　flow　with　a　high　Péclet　number　without　refining　the　lattice,　was　chosen.　With　respect　to　the　microstructure　of　porous　media,　random　placement　(RP)　method　was　applied　to　obtain　randomly　positioned　particles.　Based　on　the　exhausted　numerical　results　presented　in　the　study,　a　new　correlation　of　longitudinal　mass　dispersion　was　established.　By　comparing　with　available　experimental　data　in　the　literature,　reasonable　agreements　are　observed　in　a　wide　porosity　range　from　0.3　to　0.7,　indicating　the　validity　of　the　proposed　correlation.　©　2018　American　Institute　of　Chemical　Engineers　AIChE　J,　64:　2770–2780,　2018.　©　2018　American　Institute　of　Chemical　Engineers