关于墨西哥地震的消息逐渐传来。

News is ___filtering ___in of an earthquake in Mexico.

关于该事件的信息逐渐为人所知花了一些时间。

Information about the incident took a while to ___filter ___through.

政策变化的细节开始逐渐传到员工那里。

Details of the policy change began to ___filter ___down to the staff.