In　order　to　solve　the　characteristics　of　low　accuracy　and　slow　efficiency　in　traditional　numerical　solution　the　free　surface　problem,　the　multiquardatic　radial　base　function　collocation　method(MQ　RBF)　is　used　to　analyze　the　constant　seepage　and　unsteady　seepage　of　the　homogeneous　earth　dam.　Computation　of　transient　problem　of　free　surface　of　earth　dam　by　the　linear　derivation　of　Richards　equation.　The　results　show　that　the　calculation　accuracy　of　the　MQRBF　is　higher　than　that　of　the　traditional　numerical　method.　The　solution　process　does　not　involve　numerical　integral　calculation　and　grid　reorganization,　which　greatly　reduces　the　calculation　amount.　Compared　with　the　Trefftz　method,　it　has　the　advantage　of　solving　boundary　values　and　internal　values　at　the　same　time.　It　is　not　limited　by　the　solution　of　the　Laplace　equation,　and　its　application　is　wider　and　simpler.　©　The　Authors,　published　by　EDP　Sciences.　This　is　an　open　access　article　distributed　under　the　terms　of　the　Creative　Commons　Attribution　License　4.0　(http://creativecommons.org/licenses/by/4.0/).