  A time-reversal invariant topological superconductivity is suggested to be
realized in a quasi-one dimensional structure on a plane, which is fabricated
by filling the superconducting materials into the periodic channel of
dielectric matrices like zeolite and asbestos under high pressure. The
topological superconducting phase sets up in the presence of large spin-orbit
interactions when intra-wire s-wave and inter-wire d-wave pairings take place.
Kramers pairs of Majorana bound states emerge at the edges of each wire. We
analyze effects of Zeeman magnetic field on Majorana zero-energy states.
In-plane magnetic field was shown to make asymmetric the energy dispersion,
nevertheless Majorana fermions survive due to protection of a particle-hole
symmetry. Tunneling of Majorana quasi-particle from the end of one wire to the
nearest-neighboring one yields edge fractional Josephson current with
$4\pi$-periodicity.
