Downhole tool for gravel packing a wellbore

A downhole tool, comprising:

• a first base pipe having one or more first openings formed radially-therethrough;
• an inflow control device positioned at least partially in each of the first openings;
• a screen coupled to the first base pipe and positioned radially-outward from the first base pipe;
• a second base pipe coupled to the first base pipe, the second base pipe having one or more second openings formed radially-therethrough;
• and
• a valve positioned at least partially in each of the second openings, wherein the valve comprises a dissolvable insert and an impediment, wherein the dissolvable insert prevents the impediment from contacting a seat of the valve such that the valve permits fluid flow in both axial directions through the valve, and wherein, after the dissolvable insert dissolves, the impediment is configured to contact the seat such that the valve permits fluid flow in one axial direction through the valve but prevents fluid flow in the opposing axial direction through the valve,
• wherein the valve comprises a first portion having a substantially constant cross-sectional length, and a second portion having a cross-sectional length that increases proceeding away from the first portion,
• wherein the dissolvable insert has one or more openings formed axially-therethrough,
• wherein the seat is positioned between the dissolvable insert and the impediment, and wherein the dissolvable insert comprises an axial protrusion that contacts the impediment and prevents the impediment from contacting the seat,
• wherein an inner surface of the valve defines first and second recesses that are axially-offset from one another, wherein a first ring is positioned at least partially within the first recess, wherein a second ring is positioned at least partially within the second recess, and wherein the dissolvable insert is positioned axially between the first and second rings.

A method for gravel packing a wellbore, comprising:

• running a downhole tool into a wellbore, wherein the downhole tool comprises:
• a base pipe having a first opening and a second opening formed radially-therethrough, wherein an inflow control device is positioned at least partially in the first opening, wherein a valve is positioned at least partially in the second opening, and wherein the valve comprises a first portion having a substantially constant cross-sectional length, and a second portion having a cross-sectional length that increases proceeding away from the first portion;
• and
• a screen positioned radially-outward from the first opening, the second opening, or both;
• and
• pumping a gravel slurry into the wellbore, wherein the gravel slurry comprises particles dispersed in a carrier fluid, wherein the carrier fluid flows through the screen, wherein a first portion of the carrier fluid flows through the inflow control device and a second portion of the carrier fluid flows through the valve, wherein the valve comprises a dissolvable insert and an impediment, the dissolvable insert having one or more openings formed axially-therethrough and an axial protrusion that contacts the impediment and prevents the impediment from contacting a seat of the valve such that that the valve permits fluid flow in both axial directions through the valve, and wherein, after the dissolvable insert in the valve dissolves, the impediment in the valve is configured to prevent fluid through the valve in one direction,
• wherein an inner surface of the valve defines first and second recesses that are axially-offset from one another, wherein a first ring is positioned at least partially within the first recess, wherein a second ring is positioned at least partially within the second recess, and wherein the dissolvable insert is positioned axially between the first and second rings.