History matching is a critical step in reservoir numerical simulation algorithms. It typically hindered by difficulties associated with the high-dimensionality of problem and gradient calculation approach. Here, multi-step solving method proposed which, first, Fast marching (FMM) used to calculate pressure propagation time determine single-well sensitive area. Second, mathematical model for his...

it is shown that when a special vertex stretching is applied to a graph, the cochordal cover number of the graph increases exactly by one, as it happens to its induced matching number and (castelnuovo-mumford) regularity. as a consequence, it is shown that the induced matching number and cochordal cover number of a special vertex stretching of a graph g are equal provided g is well-covered bipa...