(Generic region) Suppose in some region only $s_{0}$ and $t^{\lambda(v)}a_{v}s_{v}$ dominate, so the hypersurface locally looks like $\frac{s_{v}}{s_{0}}=\text{const}$. After normalising by powers of $t$ we may write this as $\{z_{0}=1\}$ in the coordinates $z_{0},z_{1},z_{2},z_{3}$ on the algebraic torus $(\mathbb{C}^{*})^{4}$. This model has $T^{3}$-symmetry under the diagonal action on $z_{1},z_{2},z_{3}$. The $T^{3}$-orbits are the natural candidate for approximate SYZ fibres. Thus we naturally look for a Kähler metric with potential $\phi=\phi(u_{1},u_{2},u_{3})$ depending only on the logarithms $u_{1}=\log|z_{1}|,u_{2}=\log|z_{2}|,u_{3}=\log|z_{3}|$. The holomorphic volume form $\Omega$ on the hypersurface is up to a scale factor given by

$$\frac{dz_{0}}{z_{0}}\wedge\frac{dz_{1}}{z_{1}}\wedge\frac{dz_{2}}{z_{2}}\wedge\frac{dz_{3}}{z_{3}}=d(z_{0}-1)\wedge\Omega,$$

namely $\Omega=\frac{dz_{1}}{z_{1}}\wedge\frac{dz_{2}}{z_{2}}\wedge\frac{dz_{3}}{z_{3}}=d\log z_{1}\wedge d\log z_{2}\wedge d\log z_{3}$. The complex Monge-Ampère equation $(\sqrt{-1}\partial\bar{\partial}\phi)^{3}=\text{const}\sqrt{-1}\Omega\wedge\overline{\Omega}$ naturally reduces to the real Monge-Ampère equation $\det(\frac{\partial^{2}\phi}{\partial u_{i}\partial u_{j}})=\text{const}$. One can further calculate that such regions take up most of the volume measure on $X_{t}$, thus lending some evidence for the SYZ conjecture. We remark that the description only applies to local regions so the metrics are not complete.