phi = \sum_{j=0}^r \lambda_j \log \vert g_j \vert + O(0),$$ where $\lambda_j$ are positive rational numbers and the divisors $D_j$ defined locally by $g_j$ form a simple normal crossing divisor on $Y$. We have $$\label{eq:metric00} \textstyle\mathcal I(h^{\otimes m})=\OO_Y\big(-\sum_{j=0}^r\lfloor m\lambda_j\rfloor D_j\big).$$ 