  In recent years, cosmic observational data have reported that our present
universe is undergoing an accelerated expansion, which has been termed as
mysterious "dark energy" phenomena, that is, the origin of dark energy has not
been determined yet. According to our previous work that a new equation of
state \cite{X.Shan and H.Chen1993} can be employed to explain the dark energy,
and we are very interested in investigating the astrophysical scale properties
of dark energy based on the new cosmological fluids given that the universe is
filled with a dark energy fluid everywhere. Hence, in this paper, we study the
exact solutions of spherically-symmetrical Einstein field equations describing
wormholes supported by phantom energy from Shan-Chen (SC) fluids by considering
an obvious relation between the transversal pressure and energy density which
is different from our previous work \cite{111}. We have still investigated the
important case $\psi\approx1$ which corresponds to the " saturation effect ",
and this regime corresponds to an effective form of " asymptotic freedom ",
occurring at cosmological rather than subnuclear scales. Then we find out two
solutions by making some special choices for the shape function $b(r)$ and
discuss the singularities of the solutions and find that the spacetimes are
both geodesically incomplete. At the same time, it is worth noting that whether
the solutions are geodesically complete or incomplete depends on the
appropriate choice of the shape function $b(r)$ through our works. In addition,
we match our interior solutions to the exterior Schwarzschild solutions and
calculate out the total mass of the wormhole when $r\leq a$.
