  In this paper we study the asymptotic behaviour of power and multipower
variations of processes $Y$:\[Y_t=\int_{-\in
fty}^tg(t-s)\sigma_sW(\mathrm{d}s)+Z_t,\] where
$g:(0,\infty)\rightarrow\mathbb{R}$ is deterministic, $\sigma >0$ is a random
process, $W$ is the stochastic Wiener measure and $Z$ is a stochastic process
in the nature of a drift term. Processes of this type serve, in particular, to
model data of velocity increments of a fluid in a turbulence regime with spot
intermittency $\sigma$. The purpose of this paper is to determine the
probabilistic limit behaviour of the (multi)power variations of $Y$ as a basis
for studying properties of the intermittency process $\sigma$. Notably the
processes $Y$ are in general not of the semimartingale kind and the established
theory of multipower variation for semimartingales does not suffice for
deriving the limit properties. As a key tool for the results, a general central
limit theorem for triangular Gaussian schemes is formulated and proved.
Examples and an application to the realised variance ratio are given.
