Representative　elementary　volume　(REV)-scale　structure　of　shale　matrix　is　reconstructed　based　on　elementary　building　block　(EBB)　model　using　a　stochastic　reconstruction　method　called　Quartet　Structure　Generation　Set.　In　the　EBB　model,　various　constituents　with　different　pore　morphologies　in　shale　matrix　including　organic　matter　and　inorganic　minerals　are　considered　as　different　EBBs,　and　in　each　EBB,　specific　structural　parameters　and　transport　properties　are　locally　defined.　A　generalized　lattice　Boltzmann　model　for　fluid　flow　through　tight　porous　media　with　slippage　is　employed　to　simulate　fluid　flow　through　the　reconstructed　REV-scale　structures.　A　four-EBB　shale　matrix　including　clay,　calcite,　pyrite　and　organic　matter　is　studied　and　its　permeability　is　predicted.　Effects　of　organic　content,　grain　size,　interparticle　pores　on　the　permeability　of　the　REV-scale　matrix　are　investigated.　It　is　found　that　smaller　grain　size　and　interparticle　pores　can　increase　the　permeability.　The　influences　of　complex　physical　processes　such　as　slippage　and　adsorption　on　the　REV-scale　permeability　are　also　explored.　Slippage　effect　increases　as　the　pore　size　decreases.　Adsorption　has　two　opposite　effects　on　the　permeability,　and　which　one　dominates　depend　on　pressure.　The　present　study　can　help　understand　gas　transport　in　shale　matrix　and　improve　reservoir　scale　studies.　(C)　2015　Elsevier　Ltd.　All　rights　reserved.