  We deal with the inverse problem of reconstructing acoustic material
properties or/and external sources for the time-domain acoustic wave model. The
traditional measurements consist of repeated active (or passive)
interrogations, as the Dirichlet-Neumann map, or point sources with source
points varying outside of the domain of interest. It is reported in the
existing literature, that based on such measurements, one can recover one of
the three parameters: mass density, bulk modulus or the external source term.
In this work, we first inject isolated small-scales bubbles into the region of
interest and then measure the generated pressure field at a {\it{single point}}
outside, or at the boundary, of this region. Then we repeat such measurements
by moving the bubble to scan the region of interest. Using such measurements,
we show that
  1. If either the mass density or the bulk modulus is known then we can
simultaneously reconstruct the other one and the source term.
  2. If the source term is known at the initial time, precisely we assume to
know its first non vanishing time-derivative, at the initial time, then we
reconstruct simultaneously the three parameters, namely the mass density, the
bulk modulus and the source function.
  Here, the source term is space-time dependent. It is worth mentioning that in
terms of dimentionality, the induced inverse problem is not overdetermined
since we use $4=3+1$ dimensions ($3$ in space and $1$ in time) to recover $2$
coefficients of $3$ spatial dimensions, i.e. the mass density and the bulk
modulus, and the $4=3+1$ dimensional source function. In addition, the result
is local, meaning that we do reconstruction in any subpart, of the domain of
interest, we want.
