Heterotic Calabi-Yau compactifications give promising models that potentially realize the supersymmetric standard model. Important ingredients in these compactifications are Wilson lines, and I will discuss to what extent Wilson lines lead to non-trivial H-flux via Chern-Simons terms.  Computing the induced H-flux for any given explicit model is essential to understand both the consistency of the compactification, and potential moduli stabilizing effects.  I will illustrate this computation using the explicit MSSM ''split bicubic'' Calabi-Yau compactification.