Step 1: Recall the shaft freezing method.
In the artificial ground-freezing method, a refrigerant is circulated through freeze pipes to freeze the surrounding water-bearing ground.
Step 2: Identify the commonly used coolant.
A chilled calcium chloride (\(\mathrm{CaCl_2}\)) brine is commonly used as the circulating cooling liquid.
Hence,
\[
\boxed{\mathrm{CaCl_2}}
\]
is the correct answer.
Therefore,
\[
\boxed{(C)}
\]
is the correct answer.