Membranes comprising first and second microporous surfaces, and, a porous bulk between the surfaces, the bulk comprising first and second regions; the first region comprising a first set of pores having outer rims, and having controlled pore size, and a second set of pores connecting the outer rims of the first set of pores, the second set of pores having a controlled pore size, and a polymer matrix supporting the first set of pores; the second region comprising a third set of pores having outer rims, and having a controlled pore size, and a fourth set of pores connecting the outer rims of the third set of pores, the fourth set of pores having a controlled pore size, and a polymer matrix supporting the third set of pores; and methods of making and using the membranes, are disclosed.