To apply for a Multiple Entry (L) Visa, the applicant shall meet the following requirements:

(1) The applicant is the husband/wife, or son/daughter, or parent of a Chinese citizen residing in Mainland China. Please submit proof of relationship, e.g. the original and the photocopy of a marriage certificate, a notary certificate of kinship etc. or,

(2) The applicant owns real estate in China. Please submit the original and a photocopy of the property ownership certificate.

however, you can use the copy of your previous Chinese visa to haev a try to apply for tourist visa.

Mr.Joerg, the previous double entry visa are useful for you to apply for multiple entry visa because they can prove that you need visit China for many times within one year.