In　this　research,　a　numerical　approach　for　analyzing　the　analytical　solution　of　guided　wave　propagation　characteristics　in　multilayer　two-phased　porous　media　is　presented.　Combing　the　global　matrix　method　and　Biot　theory,　and　introducing　the　modulus-porosity-poisson＇s　ratio　relation,　the　global　dispersion　equations　of　multi-layered　porous　materials　are　established.　Also,　the　complex　boundary　conditions　in　multi-layered　two-phase　porous　media　are　considered　simultaneously.　In　order　to　confirm　the　feasibility　and　accuracy　of　the　proposed　method,　the　dispersion　curves　of　the　guided　waves　propagation　in　a　single-layer　porous　graphite　layer　and　a　triple-layer　graphite/copper/graphite　model　(porosity　close　to　0)　were　numerically　calculated.　The　results　were　compared　with　the　propagation　characteristics　of　the　guided　waves　in　the　corresponding　stacked　sequential　laminates　without　porosity,　which　is　done　by　the　state-vector　formalism　and　the　Legendre　polynomials　method　based　on　our　previous　work.　Then,　this　approach　is　further　applied　to　lithium　ion　battery.　The　change　of　porosity　in　graphite　is　used　to　simulate　the　state　of　charge　of　lithium-ion　battery.　The　influence　of　porosity　change　on　mode　coupling　effect　of　guided　waves　is　analyzed,　and　the　mapping　relationship　between　porosity　and　corresponding　dispersion　curves　is　explored.　Meanwhile,　the　research　shows　that,　with　the　decrease　of　porosity　(which　means　the　state　of　charge　increases),　the　phase　velocity　of　the　fundamental　modes　gradually　increases,　making　the　corresponding　time　of　flight　decrease　gradually.　Moreover,　the　theoretical　model　captures　a　meaningful　relationship　between　state　of　charge　and　acoustic　behavior.　It　gives　theoretical　support　for　nondestructive　evaluation　and　quantitative　estimation　of　the　state　characteristics　of　lithium-ion　batteries.　(C)　2021　Elsevier　Ltd.　All　rights　reserved.