We combine white noise analysis and variational methods for partial differential equations to study stochastic partial differential equations. The equations are studied in the Kondratiev spaces of stochastic distributions. A new estimate on the Wick product in these spaces is shown. With this estimate we are able to prove existence and uniqueness of solution to a large family of stochastic differential equations of elliptic, parabolic, and hyperbolic type. To illustrate our ideas we prove that the pressure equation in a stochastic medium \(Lu=0\), where \(L(u) = \text{div} (\exp^{\diamond} W_x \diamond \nabla u)\) and \(W_x\) is white noise, has a unique solution. Similar results are shown for the equations \(u_t=Lu\) and \(u_{tt}=Lu\) with suitable initial-boundary conditions.