The state has awarded a $1.5 million contract to Cambridge-based Arup USA Inc. to study a proposal to build a rail link between North and South stations.

The study, due to be completed by the spring of 2018, is being commissioned by the Massachusetts Department of Transportation’s Office of Transportation Planning. It will update a Draft Environmental Impact Report conducted between 1995 and 2003 on the so-called North South Rail Link project to “determine whether further technical and financial…