  Using the chromomagnetic interaction Hamiltonian with proper account for the
SU(3) flavor symmetry breaking, we have performed a schematic study on the
masses of $S-$wave heavy tetraquarks as $bq\bar{b}\bar{q}$ ($q$ denotes $u$,
$d$, $s$ quark). It is found that the numeral results for $bu\bar{b}\bar{d}$ or
$bd\bar{b}\bar{u}$ with $1^{+}$ quantum number are 10612 MeV and 10683 MeV
respectively, which are well compatible with the recent detected charged
bottomonium-like $Z_b(10610)$ and $Z_b(10650)$. Theoretically, we also
investigate the possible tetraquark states of $1^{++}$ and $2^{+}$ due to the
charge conjugation as the potential candidates for the updating experiments.
