在长波长范围内,任何一组各向同性地层都等效于一层横向同性层。这样就可估计这一层的弹性模量,然后反演得到一组等效于横向同性层的各向同性地层。利用最小分解法,即把横向同性地层分解成二层或三层各向同性层,就可给出一组等效各向同性层存在时横向同性刚性模量所要满足的充分必要条件。当我们只需要二层分层时,弹性参数的估计值是唯一的。当我们需要三层分层时,为了使最小分解结果令人满意,其中二层的泊松比和厚度是相同 Within a long wavelength range, any set of isotropic layers are equivalent to a horizontal layer of the same sex. In this way, the elastic modulus of this layer can be estimated and then a set of isotropic formations equivalent to the transverse isotropic layer can be retrieved. By using the method of least decomposition, that is, decomposing the transverse homosexual formation into two or three isotropic layers, the necessary and sufficient conditions for the transversely same stiffness can be given for a set of equivalent isotropic layers. When we only need two stratification, the estimated elastic parameters are unique. When we need three levels of delamination, the Poisson’s ratio and thickness of the second level are the same for the minimum decomposition