In　this　paper,　we　present　a　solution　for　the　sectional　estimation　of　the　stress　and　displacement　fields　of　a　liner　and　a　geomaterial　near　a　shallow　buried　tunnel.　The　complex　variable　method　and　the　discrete　Fourier　transform　are　employed　in　the　analytical　derivation.　The　initial　boundary　conditions　are　the　nonexistence　of　external　loads　acting　on　the　liner　interior　and　a　Fourier　curve　obtained　by　fitting　the　displacement　along　the　liner　interior.　Stress　and　displacement　are　continuous　along　the　excavation　line.　In　the　verification,　the　stress　and　displacement　fields　within　the　excavation　line　obtained　by　the　analytical　solution　agree　well　with　the　numerical　results.　Accuracy　decreases　as　the　spatial　distance　between　the　geomaterial　and　the　excavation　line　increases,　and　the　5%　error　zones　are　defined.　The　accuracy　of　the　solution　would　fall　greatly　out　of　these　error　zones.　In　another　word,　the　analytical　solution　is　not　a　general　solution　for　the　whole　liner-geomaterial　entity,　but　could　serve　as　a　quick　sectional　estimation,　and　is　suitable　for　a　variety　of　external　loads　on　the　ground　surface.　(C)　2018　Elsevier　Inc.　All　rights　reserved.