In this contribution, we will present an overview of future parity violation deep inelastic scattering (PVDIS) experiments, which will use the proposed Solenoidal Large Intensity Device (SoLID) at Jefferson Lab (JLab). The experiments aim to obtain data with high statistic by a polarized electron beam scattering on unpolarized deuteron and proton targets. The proposed measurements with the SoLID spectrometer will simultaneously cover a large kinematic range in both Bjorken $x$ and the momentum transfer $Q^2$ ($0.25<x<0.75$ and $2 $ GeV$^2 <Q^2<10$ GeV$^2$). A measurement of PVDIS in the deuteron aims to extract fundamental coupling constants $C_2q$ with a high precision, providing an opportunity to probe physics beyond the Standard Model. This measurement can also access QCD physics of searching for charge symmetry violation (CSV) in PDF's and higher-twist effects due to quark-quark correlations. In addition, the proton target experiment can be a powerful probe of the $d/u$ ratio in the valence quark region without any nuclear correction and provide new insight into nuclear effects at high $x$. The designed SoLID spectrometer with its unique feature of high luminosity and large acceptance will make precision measurements of PVDIS possible. Recent progress on the beam test with a full set of SoLID detector prototypes will be discussed as well.