JBoss EAP 5 is slow to shutdown due to JDBC connection pools

Issue

JBoss appears to hang for a few minutes during shtudown, but it eventually does finish. Thread dumps show that one thread is often like this:

"JBoss Shutdown Hook" daemon prio=10 tid=0x000000006501a000 nid=0x5bcd runnable [0x00000000450b7000]
   java.lang.Thread.State: RUNNABLE
    at java.net.SocketInputStream.socketRead0(Native Method)
    at java.net.SocketInputStream.read(SocketInputStream.java:129)
    at oracle.net.ns.Packet.receive(Packet.java:283)
    at oracle.net.ns.DataPacket.receive(DataPacket.java:103)
    at oracle.net.ns.NetInputStream.getNextPacket(NetInputStream.java:230)
    at oracle.net.ns.NetInputStream.read(NetInputStream.java:175)
    at oracle.net.ns.NetInputStream.read(NetInputStream.java:100)
    at oracle.net.ns.NetInputStream.read(NetInputStream.java:85)
    at oracle.jdbc.driver.T4CSocketInputStreamWrapper.readNextPacket(T4CSocketInputStreamWrapper.java:123)
    at oracle.jdbc.driver.T4CSocketInputStreamWrapper.read(T4CSocketInputStreamWrapper.java:79)
    at oracle.jdbc.driver.T4CMAREngine.unmarshalUB1(T4CMAREngine.java:1122)
    at oracle.jdbc.driver.T4CMAREngine.unmarshalSB1(T4CMAREngine.java:1099)
    at oracle.jdbc.driver.T4CTTIfun.receive(T4CTTIfun.java:288)
    at oracle.jdbc.driver.T4CTTIfun.doRPC(T4CTTIfun.java:191)
    at oracle.jdbc.driver.T4C7Ocommoncall.doOLOGOFF(T4C7Ocommoncall.java:61)
    at oracle.jdbc.driver.T4CConnection.logoff(T4CConnection.java:498)
    - locked <0x00002aab12dc0258> (a oracle.jdbc.driver.T4CConnection)
    at oracle.jdbc.driver.PhysicalConnection.close(PhysicalConnection.java:3931)
    - locked <0x00002aab12dc0258> (a oracle.jdbc.driver.T4CConnection)
    at oracle.jdbc.pool.OraclePooledConnection.close(OraclePooledConnection.java:254)
    - locked <0x00002aab12dcfd60> (a oracle.jdbc.driver.T4CXAConnection)
    at org.jboss.resource.adapter.jdbc.xa.XAManagedConnection.destroy(XAManagedConnection.java:188)
    at org.jboss.resource.connectionmanager.InternalManagedConnectionPool.doDestroy(InternalManagedConnectionPool.java:670)
    at org.jboss.resource.connectionmanager.InternalManagedConnectionPool.flush(InternalManagedConnectionPool.java:440)
    at org.jboss.resource.connectionmanager.InternalManagedConnectionPool.shutdown(InternalManagedConnectionPool.java:522)
    at org.jboss.resource.connectionmanager.JBossManagedConnectionPool$BasePool.shutdown(JBossManagedConnectionPool.java:947)
    - locked <0x00002aaaec694ea0> (a java.util.concurrent.ConcurrentHashMap)
    at org.jboss.resource.connectionmanager.JBossManagedConnectionPool.stopService(JBossManagedConnectionPool.java:523)
    at org.jboss.system.ServiceMBeanSupport.jbossInternalStop(ServiceMBeanSupport.java:405)
    at org.jboss.system.ServiceMBeanSupport.jbossInternalLifecycle(ServiceMBeanSupport.java:324)
    at sun.reflect.GeneratedMethodAccessor109.invoke(Unknown Source)
    at sun.reflect.DelegatingMethodAccessorImpl.invoke(DelegatingMethodAccessorImpl.java:25)
    at java.lang.reflect.Method.invoke(Method.java:597)
    at org.jboss.mx.interceptor.ReflectedDispatcher.invoke(ReflectedDispatcher.java:157)
    at org.jboss.mx.server.Invocation.dispatch(Invocation.java:96)
    at org.jboss.mx.server.Invocation.invoke(Invocation.java:88)
    at org.jboss.mx.server.AbstractMBeanInvoker.invoke(AbstractMBeanInvoker.java:264)
    at org.jboss.mx.server.MBeanServerImpl.invoke(MBeanServerImpl.java:668)
    at org.jboss.system.microcontainer.ServiceProxy.invoke(ServiceProxy.java:189)
    at $Proxy38.stop(Unknown Source)
    at org.jboss.system.microcontainer.StartStopLifecycleAction.uninstallAction(StartStopLifecycleAction.java:56)
    at org.jboss.system.microcontainer.StartStopLifecycleAction.uninstallAction(StartStopLifecycleAction.java:37)
    ...