I believe Geotechnical Engineering has many interesting topics that still needs clarification, for example:
Foundation Engineering still doesn't have good models applied (FEM, FDM, DPM), it is still designed using SPT correlations. Soil-structure interaction is a challenging research topic;
I suggest that you focus on the environmental geotechnics for example the decontamination of soils which present a big challenge for the humanity in nowadays.
Dear Ammar Almahdie, the current established approach to design is based on the limit equilibrium (e.i, at failure regardless of the deformation, in other words based on strength). So, still using SPT correlations is perfectly OK as far as the limit equilibrium conditions are targeted.
If you would like to challenge to the problem you mention, you may consider performance based design approach (stress conditions based on acceptable deformation levels), including the soil-structure interactions. Although it is not completely new idea and there exists some studies, heading towards this way would be a challenge as you would be in a somewhat uncharted territory.
I recommend you to realistically determine the resources you may reach (faculty advising/guidance, experimental capabilities, library, digital resources etc.) before you start.
I wish you the best in your journey to become a geotech professional…
Numerical methods is another field that you could contact research for example Material Point Method (MPM) is a non conventional method that is being researched. As far as I know its extremely useful for post-failure analysis.