The　dynamic　problem　of　wave　propagation　in　infinite　fluid-saturated　porous　media　is　usually　solved　using　the　finite　element　method.　Therefore,　proper　artificial-boundary　conditions　are　required　to　be　imposed　on　the　truncated　boundaries　of　the　dynamic　finite-element　model　to　consider　the　radiation　damping　effect　of　the　truncated　media.　A　local　artificial-boundary　condition　is　proposed　for　the　dynamic　problems　in　fluid-saturated　porous　media　in　the　mu-p　formulation.　It　avoids　making　the　unrealistic　assumption　of　zero　permeability　that　is　widely　used　in　the　existing　artificial-boundary　conditions.　Moreover,　the　proposed　method　can　be　implemented　easily　into　finite　element　or　finite　difference　codes　as　stress　and　flow　velocity　boundary　conditions.　Numerical　results　obtained　from　the　finite　element　model　using　the　proposed　artificial　boundary　indicate　that　the　proposed　method　is　stable　for　long　time　and　is　more　accurate　than　several　existing　methods.　Copyright　(c)　2017　John　Wiley　&　Sons,　Ltd.