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We consider the two-dimensional mean field equation of the equilibriumturbulence with variable intensities and Dirichlet boundary condition on apierced domain $$\left\{ \begin{array}{ll} -\Delta u=\lambda_1\dfrac{V_1e^{u}}{ \int_{\Omega_{\boldsymbol\epsilon}} V_1 e^{u} dx } - \lambda_2\tau\dfrac{ V_2 e^{-\tau u}}{ \int_{\Omega_{\boldsymbol\epsilon}}V_2 e^{ - \tau u}dx}&\text{in $\Omega_{\boldsymbol\epsilon}=\Omega\setminus \displaystyle\bigcup_{i=1}^m \overline{B(\xi_i,\epsilon_i)}$}\\ \ \ u=0 &\text{on $\partial\Omega_{\boldsymbol\epsilon}$}, \end{array} \right. $$ where$B(\xi_i,\epsilon_i)$ is a ball centered at $\xi_i\in\Omega$ with radius$\epsilon_i$, $\tau$ is a positive parameter and $V_1,V_2>0$ are smoothpotentials. When $\lambda_1>8\pi m_1$ and $\lambda_2 \tau^2>8\pi (m-m_1)$ with$m_1 \in \{0,1,\dots,m\}$, there exist radii $\epsilon_1,\dots,\epsilon_m$small enough such that the problem has a solution which blows-up positively andnegatively at the points $\xi_1,\dots,\xi_{m_1}$ and$\xi_{m_1+1},\dots,\xi_{m}$, respectively, as the radii approach zero.

On the mean field equation with variable intensities on pierced domains