查了一下中国使馆的网页
http://www.china-embassy.org/eng/hzqz/zgqz/t84246.htm

Foreign spouse and children of a Chinese citizen may apply for a Multiple Entry "L" Visa valid for 24 months.The original and photocopy of relevant Marriage Certificate,Birth Certificate, Kinship Certificate and other necessary documents are required to provide.

按道理是可以的，可是第一次申请，会给2年多次往返的吗？