is also the starting point of our present work.

This paper is organized as follows. In the next section, we present a brief review of wormholes. In Section 3, we also review the DGP braneworld scenario briefly and constrain the DGP scenario by using the current astrophysical observations to investigate the wormhole space–time configuration quantitatively. In Section 4, two specific traversable wormhole solutions are presented and the related characteristics are also studied. In Section 5, we explore the energy conditions based on the current astrophysical observations on both cosmological and astrophysical scales. Our discussion and conclusions are presented in the final section. Note that throughout the paper we use the units $8\pi G=c=1$.

Brief review of wormholes
=========================

Consider a static, spherical symmetric metric for the wormhole space–time configuration, $$ds^2=-e^{2\Phi(r)}dt^2+\frac{dr^2}{1-b(r)/r}+r^2(d\theta^2+\sin^2\theta d\phi^2), \label{1}$$ where $r$ is the radial coordinate running in the range \[$r_0$, $\infty$) (where $r_0$ denotes the throat radius of a wormhole) and $\theta$ and $\phi$ represent the angular coordinates. $\Phi(r)$ denotes the redshift function since it is related to the gravitational redshift, and $b(r)$ denotes the shape function, for it can determine the spatial shape of the wormhole.

As described in our previous works [@39; @40; @41; @42], 