Dark matter that interacts strongly with baryons can avoid the stringent dark matter
direct detection constraints, because, like baryons, they are likely to be absorbed when
traversing the rocks, leading to a suppressed flux in deep underground labs. Such strongly
interacting dark matter, however, can be probed by dark matter experiments or other experiments
operated on the ground level or in the atmosphere. In this paper we carry out systematic analysis
of two of these experiments, XQC and CSR, to compute the experimental constraints on the strongly
interacting dark matter in the following three scenarios: (1) spin-independent and spin-dependent
interactions; (2) different velocity dependent cross sections; (3) different dark matter mass
fractions. Some of the scenarios are first analyzed in the literature. We find that the XQC
exclusion region has some non-trivial dependencies on the various parameters and the limits in the
spin-dependent case is quite different from the spin-independent case. A peculiar region in the
parameter space, where the XQC constraint disappears, is also found in our Monte Carlo
simulations. This occurs in the case where the interaction cross section is proportional to the
square of the velocity. We further compare our XQC and CSR limits to other experimental
constraints, and find that a large parameter space is allowed by various experiments if the dark
matter mass fraction is sufficiently small, fχ
≲ 10-4.