I am interested in building a raster of the distance from rivers in a territory under study. I have digitized the course of the rivers in ArcGis 10.1. I have used the 'Euclidean Distance' tool to create a raster of the distance from rivers. Now, since we are moving in a 3D world, not in a 2D one, I would like to 'weight' the calculated distances in order to take the elevation into account.
So, I would like to know how can I create a raster depicting the distance of any point from rivers, also taking into account the elevation variable.