In　this　paper,　an　upscaling　study　of　solid–fluid　combustion　in　porous　medium　with　homogeneous　and　heterogeneous　heat　sources　is　carried　out　using　a　volume　averaging　theory.　For　the　sake　of　simplicity,　the　reaction　rate　is　assumed　to　be　of　first-order　Arrhenius　type　and　convection　is　not　taken　into　account.　Local　thermal　non-equilibrium　is　considered　between　the　solid　and　fluid　phases.　During　the　resolution　of　closure　problems,　periodic　boundary　condition　is　utilized　in　order　to　determine　the　effective　coefficients　in　the　upscaled　model.The　obtained　macroscale　theory　is　validated　against　direct　numerical　simulation　results　for　two　typical　porous　medium　geometries　made　of　simple　unit　cells,　namely　unconsolidated　and　consolidated　porous　media.　The　comparisons　between　the　present　upscaled　and　microscale　results　are　conducted　for　various　Damköhler　numbers　for　both　homogeneous　and　heterogeneous　reaction　cases.　It　has　been　found　that,　for　the　low　Damköhler　number　cases,　the　temperature　profiles　generated　from　the　derived　upscaled　model　are　in　accordance　with　that　of　the　microscale　model.　For　the　high　Damköhler　number　cases,　however,　the　macroscale　model　fails　to　predict　the　combustion　front　and　temperature　profile,　which　evidently　suggests　that　the　effects　of　neglected　terms　during　the　upscaling　process　should　be　re-examined　carefully　in　further　investigations.　©　2015,　Springer　Science+Business　Media　Dordrecht.