Police in the US have revealed a man’s disturbing Google search history after his ex-girlfriend went missing and was last seen on January 3.

Detriot woman Ashley Elkins vanished more than a week ago after she left her ex-boyfriend De’andre Booker’s home on January 2 to run errands.

She messaged her family the same day telling them she was heading back from a beauty supply store. But more than a week later she still hadn’t been in contact, which was out of character, family say.

“She loves her family, her kids. She would never just disappear for this many days,” her sister Alexis Elkins told Fox2.

The hunt for the 30-year-old mother of two has led police to scour a local landfill in Michigan after the discovery of Booker’s search history.

Ashley Elkins was last seen on January 2 in Detriot after leaving her ex-boyfriend's home to run errands.

Her phone last pinged at her ex-boyfriend’s apartment. It is alleged he fled to the city of Flint, just over an hour out of Detroit.

Police accuse the ex-boyfriend of Googling “is blood traceable” and “how to beat a polygraph” during the investigation into Elkins’ disappearance.

It is also alleged he searched for the fastest route to get to Ohio, a neighbouring state from Michigan where Elkins went missing.

The prosecutor also claimed Booker looked up what to do while on the run, and researched how to delete his Google search history.

Police found Elkins' car less than 7km from Booker’s apartment, and searched his property the same night. The next day he was arrested.

A Michigan man who was arrested following the disappearance of his ex-girlfriend allegedly Google searched "is blood traceable" and "how to beat a polygraph".

Booker, 32, has since been charged with allegedly lying to police.

Booker’s bond was set at US$250,000 ($446,000) with prosecutors arguing the search history suggests he could flee if released on bond.

Police seized a rubbish bin from the apartment as part of the investigation.

Booker previously served in the US Army but was removed from the military with a less than honourable discharge after going AWOL in 2017.

The previous year he was charged with several crimes while serving, including larceny and possessing fake identification documents.

He is due back in court next month.

Elkins has not yet been found.