Can microscopic coefficients always be derived from macroscopic coefficient (biot effective coefficient, skempton coefficient)?

Can microscopic coefficients always be derived from macroscopic coefficient?

To be more specific, 

alpha: Biot-Willis coefficient, Skempton coefficient 

These two parameters are derived from the macroscopic level which reflects the response of a porous material as a whole, without explicitly taking into account the individual contribution of its solid and fluid constituents.

From microscopic level, there are parameters (or bulk modulus) such as Ks (solid grain bulk modulus), Kf (fluid bulk modulus), and porosity. 

If the material is isotropic, homogeneous and elastic, following equations hold:

Using macro coefficient: S_epsilon = (1-alpha*B)/(KB);

Using micro coefficient: S_epsilon = phi/Kf+(alpha-phi)/Ks;

Above S_epsilon is the specific storage term (1/S = M in the Rock book). K is drained bulk modulus.

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Since I am working on brain tissue using poroelastisity, but the parameters of alpha and B is rather difficult to find any reliable eference, there are authors use 

alpha = 1, B = 1, which will results S_epsilon = 0, 

alpha = 0.83, B = 0.99 will results S_epsilon in the order of e-6 or e-7 also depend on Young's modulus and Poisson ratio.

Now my question is, I want to use the values of alpha and B to get compressibility of the micro coefficient which is muche asier to see the physical meaning. 

The steps is:

Give the drained bulk modulus K of the solid skeleton, phi, alpha and B,

1. According to S_epsilon = (1-alpha*B)/(KB) gives value of S_epsilon

2. According to alpha = 1-K/Ks, get the value of Ks. 

3. According to  S_epsilon = phi/Kf+(alpha-phi)/Ks, solve to get Kf = phi/(S-((alpha-phi)/Ks)).

To this step, I can get the value of Ks and Kf.

 

My question is,

 

1. Does the above steps correct? Can microscopic coefficients always be derived from macroscopic coefficient?

2. What if the Skempton value B obtained from miscroscopic  parameter is larger than 1?

3. In poro theory, alpha and B should lies in between 0 and 1, what if alpha B is larger than 1?  Is it possible?

Attached is the detailed document about above.