We performed our study for a wide range of shrinkages, and the tests performed similarly whether the generated shrinkage was low or high (Table 1 ).
The selected designs and scenarios were chosen to lead to a wide range of predicted shrinkages on V and CL, between 31 and 84% for volume and between 14 to 85% for clearance (see results in Table 1 ).
The composite model is used to find the shrinkage of mortar from paste properties in the first step, and then the range of the concrete shrinkages is determined using the shrinkage of the mortar and the Hashin Shtrikman bounds [16] with the corresponding elastic modulus.
Now it is adding to the rate of shrinkage.
The objectives of this study are (i) to identify the threshold permeability value of the formation above which there is no longer a bottleneck for pore water to flow into the cement and (ii) to estimate a reasonable range of cement bulk shrinkage volume in wellbore annulus geometry.
We used an elastic net fit with α = 0.5 and 10-fold cross-validation and display results for a range of the Lambda shrinkage parameter.
where γ∈[μ w,1) is the shrinkage factor, which enables to adjust the shrinkage range of the elements in G.
For the same pyrolysis duration, polymer structures experience different amounts of shrinkage ranging from 40%to90%0% depending on the original polymer structure sizes, as listed in Additional file 1: Table S1 of the Supporting Information.
The reported range of temperatures causing collagen shrinkage varies from 60 to 80°C [ 1– 7].
Results indicate that there is a wide range in the shrinkage capacities of different soils, with COLE values between 0.050 and 0.313.
To further reduce the computational complexity of (50), we use the estimated eigenvalues to shrinkage the range of k.
