Determination of gravity field from space has been successfully improved during the last two decades by launching satellite gravity missions. In this contribution, numerous gravimetric quasi-geoid models are determined from ground-truth gravity anomalies of the past (CHAMP, GRACE and GOCE) and future (e.g. Bender-type, Cartwheel-type, Helix-type and Pendulum-type) satellite gravity missions combined with ground-based terrestrial free-air anomalies over a selected zone of the Western Deseret of Egypt between 23N to 27N and from 30E to 32 E as a case study. Regarding to the methodology, the fast Fourier transformation (1D-FFT) method will be implemented. The findings over a selected zone of the Egyptian Western Desert show a superiority of the future gravity missions, particularly the Bender-type in modelling the local quasi-geoid heights providing the least standard deviations (st. dev.) in terms of residual quasi-geoid heights of about 32.571 cm w.r.t. the past gravity missions (CHAMP, GRACE and GOCE), which provide st. dev. ranging between 32.64 to 36.51 cm.