Given the sensational nature of its fact-based premise, the hostage drama “Captive” (Paramount) has all the makings of a pulpy, ripped-from-today’s-tabloid melodrama.

Perhaps that lurid potential alarmed the filmmakers, whose agenda in mounting this screen version of Ashley Smith’s memoir “Unlikely Angel” is quite honorable. If so, they were driven too far in the opposite direction, with disappointingly dull results for viewers.

A drug-addicted diner waitress whose methamphetamine habit had already cost her the custody of her young daughter, Ashley (Kate Mara) was struggling to put her life back together when, in 2005, she suddenly faced an even more acute crisis.

Following a murderous, headline-grabbing jailbreak, accused rapist Brian Nichols (David Oyelowo) took Ashley hostage in her apartment.

Terrified of her captor, yet not entirely unsympathetic to his troubles, Ashley scrambles to stay alive and free herself from Brian’s grasp. Partly to keep him occupied, but also hoping he’ll recognize the positive choices still available to him, Ashley reads Brian passages from the Rev. Rick Warren’s “The Purpose Driven Life.”

While this is a documented part of Ashley’s story, it comes across awkwardly and registers as a blatant example of product placement. Thus, the sequence unfortunately tends to undermine the upright, God-centered values that the film is clearly working to promote.

They’re gamely supported by the gifted principals, who turn in earnest performances. Yet Mara and Oyelowo’s best efforts can’t compensate entirely for the film’s sluggish pace or the confused, blunted impact of its outcome.

On the upside, the mayhem involved in Brian’s escape is portrayed with considerable discretion. Taken together with the general absence of problematic material in the picture as a whole, this understated approach makes “Captive” acceptable for most mature adolescents.

The film contains stylized but potentially disturbing gunplay and other violence, including the implicit threat of rape, narcotics use and at least one crass term. (A-III, PG-13)