In　this　study,　a　porous　structure　for　a　porous　liquid　storage　medium　is　generated,　and　the　homogenization　theory　based　on　displacement　boundary　conditions　is　used　to　predict　the　effective　mechanical　properties.　The　relationship　between　the　porous　material’s　macroscopic　mechanical　properties　and　microstructure　is　next　analyzed.　In　order　to　establish　the　relationship　between　the　microstructure　of　porous　materials　and　their　macroscopic　mechanical　properties,　assuming　that　the　pores　grow　along　the　z　direction,　a　method　is　proposed　to　generate　3D　open-cell　porous　materials　based　on　six　design　parameters　(i.e.,　the　number　of　pores,　porosity,　irregularity　of　pore　distribution,　the　randomness　of　pore　growth　in　the　x　and　y　directions,　and　randomness　of　pore　size).　Since　the　porosity　of　oil-bearing　materials　ranges　from　20　to　30%,　the　porosity　of　the　RVE　(Representative　Volume　Element)　was　kept　under　control　at　about　25%,　and　the　effect　of　the　six　design　factors　on　the　mechanical　properties　of　the　RVE　was　investigated.　Utilizing　SLA　3D　printing　technology,　specimens　were　produced,　and　compression　tests　were　used　to　show　how　useful　the　results　of　the　numerical　analysis　were.　The　results　demonstrated　that　after　the　number　of　RVE　pores　reaches　9,　the　numerical　results　have　good　repeatability.　The　irregularity　of　the　initial　pore　distribution　has　little　effect　on　the　effective　mechanical　properties　of　the　RVE.　At　the　same　time,　the　increase　in　the　randomness　of　pore　growth　and　the　randomness　of　pore　size　increases　the　degree　of　weakening　of　the　mechanical　properties　in　the　z-direction,　while　reducing　the　degree　of　weakening　in　the　x　and　y　directions,　but　the　latter　has　a　smaller　impact.　Furthermore,　there　is　a　superimposition　effect　of　design　parameters　on　the　RVE.　©　2023,　Springer　Nature　Limited.